Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample731.0ms (7%)

Memory

19.0MiB live, 1 048.1MiB allocated

Samples

436.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-exp: 104.0ms (36.1% of total)

ival-mult: 97.0ms (33.7% of total)

ival-sub: 39.0ms (13.5% of total)

ival-neg: 35.0ms (12.2% of total)

ival-true: 5.0ms (1.7% of total)

exact: 5.0ms (1.7% of total)

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

Bogosity

explain112.0ms (1.1%)

Memory

6.2MiB live, 121.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

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: 5.0ms (34.9% of total)

ival-mult: 4.0ms (27.9% of total)

ival-sub: 2.0ms (13.9% of total)

ival-neg: 2.0ms (13.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess259.0ms (2.5%)

Memory

16.4MiB live, 291.6MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify206.0ms (2%)

Memory

2.5MiB live, 233.6MiB 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

localize21.0ms (0.2%)

Memory

0.9MiB live, 36.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.04096027073711682	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

15.0ms

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 (29.6% of total)

ival-mult: 2.0ms (29.6% of total)

ival-sub: 1.0ms (14.8% of total)

ival-neg: 1.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify241.0ms (2.3%)

Memory

42.7MiB live, 344.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite266.0ms (2.5%)

Memory

-24.6MiB live, 365.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 500

Calls

Call 1

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

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

eval140.0ms (1.3%)

Memory: -50.9MiB live, 163.6MiB allocated
Compiler: Compiled 16 958 to 1 786 computations (89.5% saved)

prune121.0ms (1.2%)

Memory

15.6MiB live, 214.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	537	11	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	538	11	549

Accuracy

100.0%

Counts

549 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
	64.8%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))))
▶	76.5%	(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
	76.5%	(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
▶	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
	76.5%	(exp.f64 (neg.f64 (-.f64 (log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))))
▶	57.9%	(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)))
	92.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
▶	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
	74.4%	#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))

Compiler

Compiled 410 to 228 computations (44.4% saved)

simplify190.0ms (1.8%)

Memory

-14.7MiB live, 220.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	192	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	7424	(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
cost-diff	0	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
cost-diff	0	(E.f64)
cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Rules

5 308×	`lower-fma.f32`
5 300×	`lower-fma.f64`
2 822×	`lower-*.f32`
2 808×	`lower-*.f64`
1 432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	217
0	54	203
1	110	173
2	223	173
3	482	173
4	1097	173
5	2891	170
6	5667	170
7	6671	170
8	7881	170
0	8053	166

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (0.9%)

Memory

20.4MiB live, 184.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 x (.f64 x (*.f64 x x)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.4425225653670193	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	19.031215658874466	(/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.04096027073711682	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	31.997759320236216	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.03515625	(fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
accuracy	0.0390625	(fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
accuracy	0.04296875	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
accuracy	8.967877164715503	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) (E.f64))
accuracy	0	(E.f64)
accuracy	31.58874035878051	#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	0.04096027073711682	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Samples

57.0ms

256×

valid

Compiler

Compiled 206 to 31 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 13.0ms (32.1% of total)

ival-add: 9.0ms (22.2% of total)

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

ival-div: 5.0ms (12.3% of total)

ival-e: 2.0ms (4.9% of total)

ival-sub: 2.0ms (4.9% of total)

exact: 1.0ms (2.5% of total)

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

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

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

series16.0ms (0.2%)

Memory

-4.9MiB live, 31.6MiB allocated

Counts

19 → 204

Calls

Call 1

Inputs
#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (E.f64)) (patch (/.f64 #s(literal 1 binary64) (E.f64)) #<representation binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) (patch (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (neg (- 1 (* x x))) (.f64 x x)) (patch #s(approx (neg (- 1 ( x x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (patch (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())

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

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* x (* x x))
1.0ms	x	@	inf	(* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1))))
1.0ms	x	@	0	(* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1))
1.0ms	x	@	inf	(* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1))
0.0ms	x	@	0	(* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1))))

simplify361.0ms (3.4%)

Memory

34.3MiB live, 496.3MiB allocated

Algorithm

1×	egg-herbie

Rules

28 210×	`lower-fma.f64`
28 210×	`lower-fma.f32`
3 652×	`lower-*.f64`
3 652×	`lower-*.f32`
3 454×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1903
1	447	1830
2	1259	1749
3	4011	1673
0	8341	1515

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 203

Calls

Call 1

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

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

rewrite313.0ms (3%)

Memory

8.9MiB live, 440.4MiB allocated

Rules

4 968×	`lower-fma.f32`
4 960×	`lower-fma.f64`
3 838×	`lower-/.f32`
3 832×	`lower-/.f64`
3 120×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	175
0	54	149
1	207	125
2	1431	125
0	8858	121

Stop Event

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

Counts

19 → 904

Calls

Call 1

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

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (neg.f64 (*.f64 x x))))
(/.f64 (exp.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 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 x x))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (fma.f64 (.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 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (exp.f64 (neg.f64 (.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (.f64 x x))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x 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))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #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 -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) (/.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 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))) (/.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 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #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 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.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 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.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 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 (.f64 x x) (/.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 x x) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x x)) (/.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 x #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
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(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(neg.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))

eval172.0ms (1.6%)

Memory: -17.4MiB live, 348.3MiB allocated
Compiler: Compiled 33 758 to 2 998 computations (91.1% saved)

prune224.0ms (2.1%)

Memory

-3.4MiB live, 312.1MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 187	11	1 198
Fresh	4	2	6
Picked	2	3	5
Done	0	0	0
Total	1 193	16	1 209

Accuracy

100.0%

Counts

1 209 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
	99.9%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
	64.8%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))))
✓	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	57.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	74.4%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
	91.9%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
▶	58.1%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
▶	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
▶	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
✓	50.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
	92.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
	38.2%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)))))
	37.9%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (E.f64))))))

Compiler

Compiled 517 to 271 computations (47.6% saved)

simplify307.0ms (2.9%)

Memory

-10.8MiB live, 365.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
cost-diff	0	(fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))) #s(literal -1 binary64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
cost-diff	3392	(/.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))
cost-diff	0	(E.f64)
cost-diff	0	(/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
cost-diff	0	(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
cost-diff	0	(E.f64)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
cost-diff	0	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
cost-diff	0	(+.f64 x #s(literal -1 binary64))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(exp.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	6464	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))

Rules

14 920×	`lower-fma.f32`
14 910×	`lower-fma.f64`
4 854×	`lower-*.f32`
4 844×	`lower-*.f64`
2 016×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	379
0	65	325
1	123	301
2	276	301
3	695	299
4	2220	295
5	6241	295
0	8123	273

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (1.2%)

Memory

10.6MiB live, 205.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))
accuracy	0.10546875	(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)))
accuracy	8.967877164715503	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
accuracy	22.59968153458845	(/.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))
accuracy	0.0390625	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
accuracy	0.046875	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))
accuracy	0.23688670557618433	(/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
accuracy	8.967877164715503	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
accuracy	0.03515625	(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
accuracy	0.0390625	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
accuracy	0.0546875	(/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))
accuracy	8.967877164715503	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(E.f64)
accuracy	0.07421875	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
accuracy	16.38551707831462	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0.01171875	(exp.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.015625	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))

Samples

82.0ms

256×

valid

Compiler

Compiled 338 to 40 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 14.0ms (22.9% of total)

ival-div: 11.0ms (18% of total)

ival-e: 10.0ms (16.4% of total)

ival-add: 8.0ms (13.1% of total)

ival-exp: 8.0ms (13.1% of total)

ival-pow: 6.0ms (9.8% of total)

ival-sub: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series20.0ms (0.2%)

Memory

0.3MiB live, 36.3MiB allocated

Counts

20 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify263.0ms (2.5%)

Memory

-7.2MiB live, 411.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 974×	`lower-fma.f64`
14 974×	`lower-fma.f32`
3 834×	`lower-*.f64`
3 834×	`lower-*.f32`
2 766×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	2404
1	728	2239
2	2001	2075
3	6777	2065
0	8214	1861

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 223

Calls

Call 1

Inputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp 1)
(+ (exp 1) (* x (exp 1)))
(+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))
(+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1)))))))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (exp -1) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (exp -1) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (exp -1) (+ (* -1 (exp -1)) (* 1/6 (exp -1)))))))))))
(exp (/ (pow x 4) (+ 1 (pow x 2))))
(+ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (* -1 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 2))))
(+ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (+ (* -1 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 2))) (* 3/2 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 4)))))
(+ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (+ (* -13/6 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 6))) (+ (* -1 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 2))) (* 3/2 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 4))))))
(exp (/ (pow x 4) (+ 1 (pow x 2))))
(+ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (* -1 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 2))))
(+ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (+ (* -1 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 2))) (* 3/2 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 4)))))
(+ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (+ (* -13/6 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 6))) (+ (* -1 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 2))) (* 3/2 (/ (exp (/ (pow x 4) (+ 1 (pow x 2)))) (pow x 4))))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(E)
(+ (E) (* -1 (* (pow x 2) (E))))
(+ (E) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (E)) (* 1/2 (E))))) (E))))
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (E)) (* 1/2 (E)))) (* -1/2 (E))))) (+ (* -1 (E)) (* 1/2 (E))))) (E))))
(* 2 (/ (E) (pow x 4)))
(/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))
(* 2 (/ (E) (pow x 4)))
(/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
-1
(- (pow x 4) 1)
(- (* (pow x 4) (+ 1 (pow x 2))) 1)
(- (* (pow x 4) (+ 1 (* (pow x 2) (+ 1 (* 1/4 (pow x 2)))))) 1)
(* 1/4 (pow x 8))
(* (pow x 8) (+ 1/4 (/ 1 (pow x 2))))
(* (pow x 8) (+ 1/4 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 8) (- (+ 1/4 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (/ 1 (pow x 8))))
(* 1/4 (pow x 8))
(* (pow x 8) (+ 1/4 (/ 1 (pow x 2))))
(* (pow x 8) (+ 1/4 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 8) (- (+ 1/4 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (/ 1 (pow x 8))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 5))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 5))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(* -1 (E))
(+ (* -1 (E)) (* (pow x 2) (E)))
(+ (* -1 (E)) (* (pow x 2) (+ (E) (* 1/2 (* (pow x 2) (E))))))
(+ (* -1 (E)) (* (pow x 2) (+ (E) (* 1/2 (* (pow x 2) (E))))))
(* 1/2 (* (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (E)) (/ (E) (pow x 2))))
(* (pow x 4) (+ (* -1 (/ (E) (pow x 4))) (+ (* 1/2 (E)) (/ (E) (pow x 2)))))
(* (pow x 4) (+ (* -1 (/ (E) (pow x 4))) (+ (* 1/2 (E)) (/ (E) (pow x 2)))))
(* 1/2 (* (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (E)) (/ (E) (pow x 2))))
(* (pow x 4) (+ (* -1 (/ (E) (pow x 4))) (+ (* 1/2 (E)) (/ (E) (pow x 2)))))
(* (pow x 4) (+ (* -1 (/ (E) (pow x 4))) (+ (* 1/2 (E)) (/ (E) (pow x 2)))))

Outputs
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp 1)
(E.f64)
(+ (exp 1) (* x (exp 1)))
(fma.f64 x (E.f64) (E.f64))
(+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))
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(-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))
(+ (E) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (E)) (* 1/2 (E))))) (E))))
(fma.f64 (.f64 (.f64 x x) (E.f64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (E.f64))
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (E)) (* 1/2 (E)))) (* -1/2 (E))))) (+ (* -1 (E)) (* 1/2 (E))))) (E))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (E.f64)))) (neg.f64 (E.f64))) (E.f64))
(* 2 (/ (E) (pow x 4)))
(/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x)))
(/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))
(/.f64 (.f64 (E.f64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))
(/.f64 (fma.f64 (E.f64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal 4 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (E.f64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal 4 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (*.f64 x x)))
(* 2 (/ (E) (pow x 4)))
(/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x)))
(/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))
(/.f64 (.f64 (E.f64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))
(/.f64 (fma.f64 (E.f64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal 4 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (E.f64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal 4 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (*.f64 x x)))
(/ 1 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (E.f64))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (E.f64))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.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)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 4) 1)
(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 4) (+ 1 (pow x 2))) 1)
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* (pow x 4) (+ 1 (* (pow x 2) (+ 1 (* 1/4 (pow x 2)))))) 1)
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(* 1/4 (pow x 8))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/4 (/ 1 (pow x 2))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)))
(* (pow x 8) (+ 1/4 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/4 binary64))))
(* (pow x 8) (- (+ 1/4 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (/ 1 (pow x 8))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 8 binary64)))))
(* 1/4 (pow x 8))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/4 (/ 1 (pow x 2))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)))
(* (pow x 8) (+ 1/4 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/4 binary64))))
(* (pow x 8) (- (+ 1/4 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (/ 1 (pow x 8))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 8 binary64)))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (* 1/2 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)))
(* (pow x 3) (+ 1 (* 1/2 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)))
(* (pow x 3) (+ 1 (* 1/2 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)))
(* 1/2 (pow x 5))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* 1/2 (pow x 5))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 5) (+ 1/2 (/ 1 (pow x 2))))
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* -1 (E))
(neg.f64 (E.f64))
(+ (* -1 (E)) (* (pow x 2) (E)))
(*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(+ (* -1 (E)) (* (pow x 2) (+ (E) (* 1/2 (* (pow x 2) (E))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (*.f64 #s(literal 1/2 binary64) (E.f64))) (E.f64))) (neg.f64 (E.f64)))
(+ (* -1 (E)) (* (pow x 2) (+ (E) (* 1/2 (* (pow x 2) (E))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (*.f64 #s(literal 1/2 binary64) (E.f64))) (E.f64))) (neg.f64 (E.f64)))
(* 1/2 (* (pow x 4) (E)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) (E.f64)))))
(* (pow x 4) (+ (* 1/2 (E)) (/ (E) (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (E.f64))) (E.f64))))
(* (pow x 4) (+ (* -1 (/ (E) (pow x 4))) (+ (* 1/2 (E)) (/ (E) (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (*.f64 #s(literal 1/2 binary64) (E.f64))) (E.f64))) (neg.f64 (E.f64)))
(* (pow x 4) (+ (* -1 (/ (E) (pow x 4))) (+ (* 1/2 (E)) (/ (E) (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (*.f64 #s(literal 1/2 binary64) (E.f64))) (E.f64))) (neg.f64 (E.f64)))
(* 1/2 (* (pow x 4) (E)))
(.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) (E.f64)))))
(* (pow x 4) (+ (* 1/2 (E)) (/ (E) (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (E.f64))) (E.f64))))
(* (pow x 4) (+ (* -1 (/ (E) (pow x 4))) (+ (* 1/2 (E)) (/ (E) (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (*.f64 #s(literal 1/2 binary64) (E.f64))) (E.f64))) (neg.f64 (E.f64)))
(* (pow x 4) (+ (* -1 (/ (E) (pow x 4))) (+ (* 1/2 (E)) (/ (E) (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (*.f64 #s(literal 1/2 binary64) (E.f64))) (E.f64))) (neg.f64 (E.f64)))

rewrite365.0ms (3.5%)

Memory

4.8MiB live, 356.6MiB allocated

Rules

4 924×	`lower-/.f32`
4 914×	`lower-/.f64`
4 786×	`lower-*.f32`
4 776×	`lower-*.f64`
2 884×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	290
0	65	236
1	276	198
2	2018	198
0	8547	181

Stop Event

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

Counts

20 → 1 245

Calls

Call 1

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

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

eval325.0ms (3.1%)

Memory: 17.5MiB live, 477.7MiB allocated
Compiler: Compiled 68 698 to 3 175 computations (95.4% saved)

prune286.0ms (2.7%)

Memory

-5.6MiB live, 525.7MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	1 809	12	1 821
Fresh	2	6	8
Picked	1	4	5
Done	0	3	3
Total	1 812	25	1 837

Accuracy

100.0%

Counts

1 837 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x #s(literal -1 binary64)))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
	99.9%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
	97.1%	(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
✓	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	57.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
	92.0%	#s(approx (pow (exp (+ x 1)) (+ x -1)) (fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
✓	74.4%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
	74.4%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (E.f64)))
▶	27.0%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
	74.4%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
▶	91.9%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
	69.5%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))) #s(literal -1 binary64)) #s(approx (* (+ (* x (+ (* x (* 1/2 (* x x))) x)) -1) (E)) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))))))
▶	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
✓	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
	38.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
	37.9%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (E.f64)))
✓	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
	37.9%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))))))
✓	50.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	50.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64))))))
	92.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
	38.2%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)))))
▶	37.9%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (E.f64))))))

Compiler

Compiled 614 to 348 computations (43.3% saved)

simplify227.0ms (2.2%)

Memory

15.7MiB live, 322.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff	0	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	320	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
cost-diff	320	(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (*.f64 x x)) (E.f64)))
cost-diff	0	(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (E.f64))))
cost-diff	0	#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (E.f64)))))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (E.f64))))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) 1) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
cost-diff	0	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
cost-diff	0	(E.f64)
cost-diff	0	(exp.f64 x)
cost-diff	128	(*.f64 (exp.f64 x) (E.f64))
cost-diff	6464	(pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x #s(literal -1 binary64)))

Rules

15 692×	`lower-fma.f32`
15 684×	`lower-fma.f64`
4 382×	`lower-*.f32`
4 366×	`lower-*.f64`
1 254×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	367
0	81	339
1	167	291
2	387	291
3	1027	291
4	2208	289
5	5619	289
0	8088	281

Stop Event

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

Calls

Call 1

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

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

localize201.0ms (1.9%)

Memory

-22.3MiB live, 240.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 x (.f64 x (*.f64 x x)))
accuracy	0.09765625	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	5.141586740285352	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.0546875	(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
accuracy	0.0703125	(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	8.967877164715503	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.1328125	(/.f64 (.f64 x (.f64 x x)) (E.f64))
accuracy	8.967877164715503	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (E.f64))))))
accuracy	31.65254181553015	#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (E.f64)))))
accuracy	0	(E.f64)
accuracy	0.07421875	(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
accuracy	16.38551707831462	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
accuracy	31.443979002034364	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	0	(exp.f64 x)
accuracy	0	(E.f64)
accuracy	0.015625	(pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x #s(literal -1 binary64)))
accuracy	0.01953125	(*.f64 (exp.f64 x) (E.f64))

Samples

143.0ms

256×

valid

Compiler

Compiled 288 to 47 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 40.0ms (46.8% of total)

ival-add: 12.0ms (14% of total)

ival-div: 9.0ms (10.5% of total)

ival-exp: 8.0ms (9.4% of total)

ival-pow: 6.0ms (7% of total)

const: 4.0ms (4.7% of total)

ival-e: 2.0ms (2.3% of total)

ival-sub: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series39.0ms (0.4%)

Memory

6.0MiB live, 40.0MiB allocated

Counts

24 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	(* 1/2 (/ (* x (* x x)) (E)))
2.0ms	x	@	-inf	(* (/ 1 (E)) (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)))
1.0ms	x	@	0	(pow (* (exp x) (E)) (+ x -1))
1.0ms	x	@	inf	(* x (* 1/2 (/ (* x (* x x)) (E))))
1.0ms	x	@	0	(* x (* 1/2 (/ (* x (* x x)) (E))))

simplify693.0ms (6.6%)

Memory

8.3MiB live, 352.7MiB allocated

Algorithm

1×	egg-herbie

Rules

21 224×	`lower-fma.f64`
21 224×	`lower-fma.f32`
3 650×	`lower-*.f64`
3 650×	`lower-*.f32`
2 328×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	2722
1	671	2494
2	1809	2271
3	5602	2267
0	8117	2066

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

rewrite654.0ms (6.2%)

Memory

16.3MiB live, 567.5MiB allocated

Rules

5 216×	`lower-*.f32`
5 200×	`lower-*.f64`
4 608×	`lower-fma.f32`
4 600×	`lower-fma.f64`
3 702×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	326
0	81	294
1	328	232
2	2569	232
0	8834	227

Stop Event

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

Counts

24 → 979

Calls

Call 1

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

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

eval240.0ms (2.3%)

Memory: 6.6MiB live, 508.8MiB allocated
Compiler: Compiled 48 066 to 3 409 computations (92.9% saved)

prune519.0ms (5%)

Memory

-80.8MiB live, 587.2MiB allocated

Pruning

33 alts after pruning (22 fresh and 11 done)

	Pruned	Kept	Total
New	1 521	15	1 536
Fresh	6	7	13
Picked	1	4	5
Done	0	7	7
Total	1 528	33	1 561

Accuracy

100.0%

Counts

1 561 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x #s(literal -1 binary64)))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
	99.9%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
	97.1%	(pow.f64 #s(approx (* (exp x) (E)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
✓	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	57.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
	92.0%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
	92.0%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (fma.f64 x (.f64 x (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
	92.0%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64) (.f64 (E.f64) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (E.f64) (E.f64))))
	91.9%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
✓	74.4%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
	74.4%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (E.f64)))
✓	27.0%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
	91.9%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))))))
	27.0%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
✓	91.9%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
	91.9%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
	91.5%	#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 #s(approx (+ ( (* x x) 1/6) 1/2) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
	69.5%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))) #s(literal -1 binary64)) #s(approx (* (+ (* x (+ (* x (* 1/2 (* x x))) x)) -1) (E)) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))))))
	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
✓	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (E.f64)))
	38.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* (* x x) 1/2) (* x x)) (+ (* x x) 1)) (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))) (E.f64)))
✓	86.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
	37.9%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))))))
✓	50.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	50.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64))))))
	92.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
	37.9%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (E.f64))))
	37.9%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (.f64 x (*.f64 x x))))))
	38.2%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64)))))
✓	37.9%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (E.f64))))))
	37.9%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 x (E.f64)))))))

Compiler

Compiled 1 322 to 455 computations (65.6% saved)

regimes65.0ms (0.6%)

Memory

31.5MiB live, 108.3MiB allocated

Counts

50 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes63.0ms (0.6%)

Memory

-25.6MiB live, 91.9MiB allocated

Counts

43 → 1

Calls

Call 1

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

15.0ms	x
13.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
13.0ms	(*.f64 x x)
10.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
9.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.9%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes55.0ms (0.5%)

Memory

8.0MiB live, 84.6MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

13.0ms	x
12.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
10.0ms	(*.f64 x x)
9.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
9.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
99.0%	2	`x`
99.0%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.0%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.0%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.0%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes56.0ms (0.5%)

Memory

-18.0MiB live, 47.1MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
11.0ms	x
10.0ms	(*.f64 x x)
9.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
9.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
97.1%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
97.1%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
97.1%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes50.0ms (0.5%)

Memory

20.4MiB live, 58.0MiB allocated

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

12.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
10.0ms	x
9.0ms	(*.f64 x x)
9.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
8.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
92.0%	1	`x`
92.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
92.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
92.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
92.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes82.0ms (0.8%)

Memory

6.5MiB live, 84.3MiB allocated

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

45.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
10.0ms	(*.f64 x x)
9.0ms	x
8.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
7.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
92.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
92.0%	1	`x`
92.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
92.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
92.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes39.0ms (0.4%)

Memory

-31.7MiB live, 52.7MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	(*.f64 x x)
8.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
6.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
86.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
86.0%	1	`x`
86.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
86.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
86.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes32.0ms (0.3%)

Memory

3.8MiB live, 41.1MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	x
6.0ms	(*.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)))
5.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
86.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
86.0%	1	`x`
86.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
86.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
86.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-10.6MiB live, 28.2MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
85.6%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
85.6%	2	`x`
85.6%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
85.6%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
85.6%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
85.6%	2	`x`
85.6%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
85.6%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
85.6%	2	`(*.f64 x x)`
85.6%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB 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 (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64))))))
#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))

Outputs
#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))

Calls

5 calls:

3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
74.4%	1	`x`
74.4%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
74.4%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
74.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
74.4%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-36.5MiB live, 8.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))

Outputs

#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))

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

Calls

5 calls:

3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
73.9%	2	`x`
73.9%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
73.9%	2	`(*.f64 x x)`
73.9%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
73.9%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

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	3.7667174534052186	532.0983059462418

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	0.37695349895494246	15.906334934104915

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	0.37695349895494246	15.906334934104915

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	-2.7667174534052186	0.9756334440888421

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify37.0ms (0.4%)

Memory

-3.7MiB live, 35.5MiB allocated

Algorithm

1×	egg-herbie

Rules

372×	`distribute-lft-neg-in_binary64`
208×	`neg-mul-1_binary64`
204×	`neg-sub0_binary64`
154×	`sub-neg_binary64`
140×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	478
1	136	478
2	155	478
3	177	476
4	232	476
5	343	476
6	510	476
7	655	476
8	790	476
9	909	476
10	1014	476
11	1089	476
12	1128	476
13	1137	476

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 5 binary64)) #s(approx ( (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64) (.f64 (E.f64) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (.f64 (E.f64) (E.f64)))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64) (.f64 (E.f64) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (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 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 x (E.f64))))))))
#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2 binary64)) #s(approx ( (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Outputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 5 binary64)) #s(approx ( (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64) (.f64 (E.f64) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (.f64 (E.f64) (E.f64)))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64) (.f64 (E.f64) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (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 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (E.f64))))))
(if (<=.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 x (E.f64))))))))
(if (<=.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 x (E.f64))))))))
#s(approx (* (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2 binary64)) #s(approx ( (exp (- 0 (/ 1 (+ (* x x) 1)))) (exp (/ (* x (* x (* x x))) (+ (* x x) 1)))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

soundness2.0s (19.4%)

Memory

41.2MiB live, 891.5MiB allocated

Rules

28 210×	`lower-fma.f64`
28 210×	`lower-fma.f32`
14 974×	`lower-fma.f64`
14 974×	`lower-fma.f32`
9 734×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	175
0	54	149
1	207	125
2	1431	125
0	8858	121
0	54	326
0	81	294
1	328	232
2	2569	232
0	8834	227
0	222	2404
1	728	2239
2	2001	2075
3	6777	2065
0	8214	1861
0	146	1903
1	447	1830
2	1259	1749
3	4011	1673
0	8341	1515
0	30	254
1	81	241
2	247	237
3	607	234
4	1355	234
5	2041	234
6	3139	234
7	5658	234
0	8384	211
0	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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 475 to 215 computations (54.7% saved)

preprocess158.0ms (1.5%)

Memory: -7.3MiB live, 121.3MiB allocated
Compiler: Compiled 540 to 174 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample731.0ms (7%)

explain112.0ms (1.1%)

preprocess259.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify206.0ms (2%)

localize21.0ms (0.2%)

series2.0ms (0%)

simplify241.0ms (2.3%)

rewrite266.0ms (2.5%)

eval140.0ms (1.3%)

prune121.0ms (1.2%)

simplify190.0ms (1.8%)

localize91.0ms (0.9%)

series16.0ms (0.2%)

simplify361.0ms (3.4%)

rewrite313.0ms (3%)

eval172.0ms (1.6%)

prune224.0ms (2.1%)

simplify307.0ms (2.9%)

localize131.0ms (1.2%)

series20.0ms (0.2%)

simplify263.0ms (2.5%)

rewrite365.0ms (3.5%)

eval325.0ms (3.1%)

prune286.0ms (2.7%)

simplify227.0ms (2.2%)

localize201.0ms (1.9%)

series39.0ms (0.4%)

simplify693.0ms (6.6%)

rewrite654.0ms (6.2%)

eval240.0ms (2.3%)

prune519.0ms (5%)

regimes65.0ms (0.6%)

regimes63.0ms (0.6%)

regimes55.0ms (0.5%)

regimes56.0ms (0.5%)

regimes50.0ms (0.5%)

regimes82.0ms (0.8%)

regimes39.0ms (0.4%)

regimes32.0ms (0.3%)

regimes24.0ms (0.2%)

regimes18.0ms (0.2%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify37.0ms (0.4%)

soundness2.0s (19.4%)

preprocess158.0ms (1.5%)

end0.0ms (0%)

Profiling