Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample823.0ms (11.6%)

Memory

36.7MiB live, 1 000.6MiB allocated

Samples

485.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-mult: 154.0ms (46.9% of total)

ival-exp: 69.0ms (21% of total)

ival-neg: 53.0ms (16.1% of total)

ival-sub: 40.0ms (12.2% of total)

ival-true: 5.0ms (1.5% of total)

exact: 4.0ms (1.2% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain117.0ms (1.7%)

Memory

34.5MiB live, 150.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

68.0ms

512×

valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sub: 35.0ms (76.5% of total)

ival-exp: 4.0ms (8.7% of total)

ival-mult: 4.0ms (8.7% of total)

ival-neg: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess245.0ms (3.5%)

Memory

4.0MiB live, 261.6MiB 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 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify146.0ms (2.1%)

Memory

5.4MiB live, 190.0MiB 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

localize18.0ms (0.3%)

Memory

6.0MiB live, 43.6MiB 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	0.00390625	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 2.0ms (31.3% of total)

ival-mult: 2.0ms (31.3% of total)

ival-sub: 1.0ms (15.7% of total)

ival-neg: 1.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

13.9MiB live, 13.9MiB 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 (exp -1) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

0.0ms

-inf

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

simplify477.0ms (6.7%)

Memory

-98.3MiB live, 302.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	254
1	81	241
2	247	237
3	605	234
4	1328	234
5	2025	234
6	3122	234
7	5538	234
0	8219	211

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite285.0ms (4%)

Memory

18.9MiB live, 294.5MiB 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 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64))) (*.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))))
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(-.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) x))))
(-.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) x)))
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x))) (log.f64 (E.f64)))
(+.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) x)
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(.f64 x (.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval116.0ms (1.6%)

Memory: -47.9MiB live, 235.1MiB allocated
Compiler: Compiled 10 865 to 1 802 computations (83.4% saved)

prune27.0ms (0.4%)

Memory

-13.4MiB live, 26.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	544	4	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	545	4	549

Accuracy

100.0%

Counts

549 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	60.5%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	49.4%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify159.0ms (2.2%)

Memory

18.6MiB live, 168.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(E.f64)
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) x)
cost-diff	6784	(/.f64 (pow.f64 (exp.f64 x) x) (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)))
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	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
cost-diff	0	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Rules

9 394×	`lower-fma.f32`
9 392×	`lower-fma.f64`
2 418×	`lower-+.f64`
2 418×	`lower-+.f32`
1 890×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	68
0	26	67
1	43	59
2	71	59
3	138	59
4	293	59
5	628	59
6	1540	59
7	2479	59
8	4696	59
9	7119	59
0	8577	59

Stop Event

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

Calls

Call 1

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

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

localize40.0ms (0.6%)

Memory

9.8MiB live, 84.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 (exp.f64 x) x)
accuracy	0	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
accuracy	0	(exp.f64 x)
accuracy	0	(E.f64)
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.00390625	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	30.297645288813047	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.00390625	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	33.14242201781864	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))

Samples

31.0ms

256×

valid

Compiler

Compiled 60 to 15 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-pow: 7.0ms (31.5% of total)

ival-exp: 6.0ms (27% of total)

ival-div: 2.0ms (9% of total)

ival-add: 2.0ms (9% of total)

ival-mult: 2.0ms (9% of total)

ival-e: 2.0ms (9% of total)

ival-sub: 1.0ms (4.5% of total)

ival-neg: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

11 → 120

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))

1.0ms

inf

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))

1.0ms

-inf

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))

simplify160.0ms (2.3%)

Memory

-25.5MiB live, 175.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 868×	`lower-fma.f64`
12 868×	`lower-fma.f32`
3 596×	`lower-*.f64`
3 596×	`lower-*.f32`
1 422×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	716
1	192	700
2	579	668
3	1286	660
4	1837	656
5	2350	656
6	3212	656
7	5178	656
8	7517	656
0	8079	562

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite325.0ms (4.6%)

Memory

7.9MiB live, 284.1MiB allocated

Rules

3 158×	`lower-fma.f32`
3 156×	`lower-fma.f64`
2 856×	`lower-*.f32`
2 854×	`lower-*.f64`
2 648×	`lower-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	26	62
1	95	54
2	567	54
3	4659	54
0	8808	54

Stop Event

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

Counts

11 → 699

Calls

Call 1

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

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

eval109.0ms (1.5%)

Memory: -0.5MiB live, 196.3MiB allocated
Compiler: Compiled 10 173 to 1 479 computations (85.5% saved)

prune40.0ms (0.6%)

Memory

10.9MiB live, 49.8MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	816	3	819
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	818	5	823

Accuracy

100.0%

Counts

823 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
▶	74.6%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	49.4%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	60.5%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify184.0ms (2.6%)

Memory

9.5MiB live, 200.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(E.f64)
cost-diff	0	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
cost-diff	0	(E.f64)
cost-diff	0	#s(approx (pow (exp x) x) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Rules

9 334×	`lower-fma.f32`
9 330×	`lower-fma.f64`
2 854×	`lower--.f64`
2 854×	`lower--.f32`
2 556×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	20	56
1	28	56
2	32	56
3	47	56
4	76	56
5	137	56
6	299	56
7	583	56
8	2067	56
9	3234	56
10	4837	56
11	6494	56
0	8744	56

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (0.7%)

Memory

12.4MiB live, 50.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(E.f64)
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
accuracy	0	(E.f64)
accuracy	16.243753260422924	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
accuracy	0	(E.f64)
accuracy	32.389457792824224	#s(approx (pow (exp x) x) #s(literal 1 binary64))

Samples

43.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 16.0ms (47.1% of total)

ival-pow: 10.0ms (29.5% of total)

ival-add: 2.0ms (5.9% of total)

ival-exp: 2.0ms (5.9% of total)

ival-e: 2.0ms (5.9% of total)

ival-mult: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

8 → 84

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

((/ (pow (exp x) x) (E)) (pow (exp x) x) (E) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (pow (E) (+ (* x x) -1)) (+ (* x x) -1))

1.0ms

inf

((/ (pow (exp x) x) (E)) (pow (exp x) x) (E) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (pow (E) (+ (* x x) -1)) (+ (* x x) -1))

1.0ms

-inf

((/ (pow (exp x) x) (E)) (pow (exp x) x) (E) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (pow (E) (+ (* x x) -1)) (+ (* x x) -1))

simplify211.0ms (3%)

Memory

1.7MiB live, 211.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 600×	`lower-fma.f64`
14 600×	`lower-fma.f32`
3 032×	`lower-+.f64`
3 032×	`lower-+.f32`
2 990×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	562
1	211	544
2	546	518
3	1147	512
4	1608	506
5	2270	503
6	3676	503
7	4802	503
8	7165	503
0	8600	431

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite192.0ms (2.7%)

Memory

25.6MiB live, 277.2MiB allocated

Rules

3 672×	`lower-*.f64`
3 672×	`lower-*.f32`
2 504×	`lower-fma.f32`
2 500×	`lower-fma.f64`
2 360×	`lower-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	20	49
1	93	48
2	562	48
3	5345	48
0	8684	48

Stop Event

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

Counts

8 → 685

Calls

Call 1

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

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

eval228.0ms (3.2%)

Memory: -21.5MiB live, 417.6MiB allocated
Compiler: Compiled 13 498 to 2 146 computations (84.1% saved)

prune18.0ms (0.3%)

Memory

26.7MiB live, 64.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	955	2	957
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	955	7	962

Accuracy

100.0%

Counts

962 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
✓	74.6%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	28.7%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	49.4%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
▶	74.6%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	60.5%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 43 to 37 computations (14% saved)

simplify9.0ms (0.1%)

Memory

-44.2MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

30×	`lower-*.f32`
28×	`lower-*.f64`
14×	`lower-/.f32`
10×	`*-commutative`
8×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	81
0	21	81
1	27	80
2	33	79
3	37	79
4	47	79
5	47	79
6	48	79
7	51	79
8	54	79
9	55	79
0	55	79

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

28.0MiB live, 66.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.6342216972661181	#s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	29.892697420192125	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	31.725942841280105	(E.f64)
accuracy	0	(/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.6342216972661181	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	31.725942841280105	(E.f64)

Samples

13.0ms	131×	0	exit
12.0ms	125×	0	valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow: 5.0ms (33.1% of total)

ival-div: 4.0ms (26.5% of total)

ival-exp: 2.0ms (13.2% of total)

ival-mult: 2.0ms (13.2% of total)

ival-e: 2.0ms (13.2% of total)

ival-add: 1.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

8 → 84

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((/ 1 (/ (E) (pow (exp x) x))) (/ (E) (pow (exp x) x)) (E) (pow (exp x) x) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (* x x))

1.0ms

((/ 1 (/ (E) (pow (exp x) x))) (/ (E) (pow (exp x) x)) (E) (pow (exp x) x) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (* x x))

1.0ms

-inf

((/ 1 (/ (E) (pow (exp x) x))) (/ (E) (pow (exp x) x)) (E) (pow (exp x) x) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (* x x))

simplify437.0ms (6.2%)

Memory

9.3MiB live, 227.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24 318×	`lower-fma.f64`
24 318×	`lower-fma.f32`
4 064×	`lower-*.f64`
4 064×	`lower-*.f32`
3 334×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	542
1	197	527
2	688	508
3	2654	494
4	7138	494
0	8080	442

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite213.0ms (3%)

Memory

-17.6MiB live, 242.6MiB allocated

Rules

4 278×	`lower-*.f32`
4 276×	`lower-*.f64`
2 690×	`lower-pow.f64`
2 690×	`lower-pow.f32`
2 364×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
0	21	73
1	83	71
2	445	71
3	3131	71
0	9041	71

Stop Event

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

Counts

8 → 375

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (E.f64)) #s(literal -1 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (exp.f64 #s(literal -1/3 binary64)) (.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 (E.f64)))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (exp.f64 #s(literal -2/3 binary64)) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (E.f64))))
(*.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (/.f64 (cbrt.f64 (E.f64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 #s(literal -1/2 binary64)))
(.f64 (.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64))) (exp.f64 #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) (/.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(*.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (pow.f64 (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))) #s(literal -1 binary64))
(*.f64 (exp.f64 #s(literal -1 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (E.f64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))
(*.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
(pow.f64 (*.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (E.f64)) (*.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (E.f64)) (*.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))))
(pow.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 #s(literal 1/4 binary64))) (exp.f64 #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (E.f64))) (exp.f64 #s(literal 1/6 binary64)))
(/.f64 (/.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (E.f64)))
(/.f64 (/.f64 (*.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64))) (exp.f64 #s(literal 1/6 binary64))) (exp.f64 #s(literal 1/6 binary64)))
(/.f64 (/.f64 (*.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64))) (exp.f64 #s(literal 2/9 binary64))) (exp.f64 #s(literal 1/9 binary64)))
(/.f64 (/.f64 (*.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (E.f64)))
(/.f64 (/.f64 (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (E.f64))) (neg.f64 (sqrt.f64 (E.f64))))
(/.f64 (/.f64 (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (E.f64))))
(/.f64 (*.f64 (exp.f64 #s(literal -2/3 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (E.f64)))
(/.f64 (.f64 (.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (E.f64)))
(/.f64 (.f64 (.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (E.f64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (E.f64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64)))) (cbrt.f64 (E.f64)))
(/.f64 (/.f64 (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 (E.f64)))
(/.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (E.f64))) (exp.f64 #s(literal 2/3 binary64)))
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (E.f64))))
(/.f64 (neg.f64 (*.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64)))) (neg.f64 (cbrt.f64 (E.f64))))
(/.f64 (exp.f64 #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (E.f64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (exp.f64 #s(literal -2/3 binary64)) (/.f64 (cbrt.f64 (E.f64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (E.f64)))
(/.f64 (*.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64))) (cbrt.f64 (E.f64)))
(/.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))) #s(literal -1 binary64))
(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (E.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (E.f64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (E.f64)) (*.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (E.f64)) (*.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))
(exp.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (log.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
(exp.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 #s(literal -1 binary64) (log.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (+.f64 (log.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (E.f64)))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
(.f64 (pow.f64 (.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -2/3 binary64))) #s(literal -1 binary64)) (cbrt.f64 (E.f64)))
(*.f64 (pow.f64 (neg.f64 (E.f64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (.f64 (pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (exp.f64 #s(literal 2/3 binary64))) (cbrt.f64 (E.f64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (E.f64)) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (E.f64)) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (E.f64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64))) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (E.f64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (cbrt.f64 (E.f64))) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (E.f64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (E.f64)))
(*.f64 (/.f64 (cbrt.f64 (E.f64)) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 #s(literal 2/3 binary64)))
(.f64 (neg.f64 (sqrt.f64 (E.f64))) (.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (E.f64)) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64))) (.f64 (cbrt.f64 (E.f64)) (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (E.f64)) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (E.f64)))
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(fma.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (exp.f64 (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/9 binary64)) (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/9 binary64)) (cbrt.f64 (exp.f64 #s(literal 7/3 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (E.f64)) (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (fabs.f64 (neg.f64 (neg.f64 (cbrt.f64 (E.f64))))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (E.f64)))) #s(literal 0 binary64))
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(fma.f64 (cbrt.f64 (E.f64)) (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
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(-.f64 #s(literal 0 binary64) (neg.f64 (E.f64)))
(fabs.f64 (-.f64 (neg.f64 (E.f64)) #s(literal 0 binary64)))
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(fabs.f64 (E.f64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 #s(literal 1 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (E.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (E.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (E.f64))) (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (E.f64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (E.f64))) (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (E.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (E.f64))) (log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (E.f64))))
(+.f64 #s(literal 0 binary64) (E.f64))
(+.f64 (E.f64) #s(literal 0 binary64))
(log.f64 (exp.f64 (E.f64)))
(E.f64)
(*.f64 (pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (*.f64 (pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (E.f64)))
(.f64 (pow.f64 (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (.f64 x x))) (E.f64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (neg.f64 (sqrt.f64 (E.f64)))))
(.f64 (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (cbrt.f64 (E.f64))) (exp.f64 #s(literal -2/3 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (neg.f64 (cbrt.f64 (E.f64)))))
(.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64))) (exp.f64 #s(literal -1/2 binary64)))
(.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (exp.f64 #s(literal -2/3 binary64))) (exp.f64 #s(literal -1/3 binary64)))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64))))
(.f64 (exp.f64 #s(literal -2/3 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (cbrt.f64 (E.f64))))
(.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (/.f64 (cbrt.f64 (E.f64)) #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x)))))
(.f64 (exp.f64 #s(literal -1 binary64)) #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))))
(.f64 (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (E.f64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (neg.f64 (E.f64))))
(.f64 (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)) #s(literal 1 binary64))
(.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (.f64 x x)))) (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (E.f64)) (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (E.f64)) (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -2/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64)) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64))) (exp.f64 #s(literal 1/4 binary64))) (exp.f64 #s(literal 1/4 binary64)))
(/.f64 (/.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64))) (cbrt.f64 (E.f64))) (exp.f64 #s(literal 1/6 binary64)))
(/.f64 (/.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (E.f64)))
(/.f64 (/.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -2/3 binary64))) (exp.f64 #s(literal 1/6 binary64))) (exp.f64 #s(literal 1/6 binary64)))
(/.f64 (/.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -2/3 binary64))) (exp.f64 #s(literal 2/9 binary64))) (exp.f64 #s(literal 1/9 binary64)))
(/.f64 (/.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (E.f64)))
(/.f64 (/.f64 (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))) (sqrt.f64 (E.f64))) (neg.f64 (sqrt.f64 (E.f64))))
(/.f64 (/.f64 (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))) (exp.f64 #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (E.f64))))
(/.f64 (/.f64 (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (E.f64)))
(/.f64 (.f64 (exp.f64 #s(literal -1/2 binary64)) #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x)))) (sqrt.f64 (E.f64)))
(/.f64 (.f64 (exp.f64 #s(literal -2/3 binary64)) #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x)))) (cbrt.f64 (E.f64)))
(/.f64 (.f64 (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (E.f64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (E.f64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (exp.f64 #s(literal -2/3 binary64)))) (cbrt.f64 (E.f64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))))) (neg.f64 (E.f64)))
(/.f64 (/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (cbrt.f64 (E.f64))) (exp.f64 #s(literal 2/3 binary64)))
(/.f64 (neg.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (E.f64))))
(/.f64 (neg.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -2/3 binary64)))) (neg.f64 (cbrt.f64 (E.f64))))
(/.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64))) (sqrt.f64 (E.f64)))
(/.f64 (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -2/3 binary64))) (cbrt.f64 (E.f64)))
(/.f64 (exp.f64 #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (E.f64)) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
(/.f64 (exp.f64 #s(literal -2/3 binary64)) (/.f64 (cbrt.f64 (E.f64)) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))) (neg.f64 (E.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (E.f64)) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
(/.f64 (/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64)) #s(literal 1 binary64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (E.f64)) (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (E.f64)) (.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (exp.f64 #s(literal -2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (neg.f64 (E.f64)))))
(neg.f64 (/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (neg.f64 (E.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (neg.f64 (E.f64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (neg.f64 (E.f64))))
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(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x)))))
(.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))))
(pow.f64 (pow.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) #s(literal 1 binary64))
#s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))
(/.f64 (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (+ (* x x) 1) (*.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval129.0ms (1.8%)

Memory: 26.4MiB live, 172.7MiB allocated
Compiler: Compiled 7 317 to 1 267 computations (82.7% saved)

prune22.0ms (0.3%)

Memory

-10.1MiB live, 62.7MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	588	6	594
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	589	12	601

Accuracy

100.0%

Counts

601 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
	74.6%	(/.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
✓	74.6%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
✓	28.7%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	49.4%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
	28.7%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
	74.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
	74.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (E.f64))))
	48.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (neg.f64 (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) (.f64 x x) (E.f64))) (.f64 x x) (E.f64))))
	74.6%	(*.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	60.5%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 257 to 137 computations (46.7% saved)

regimes29.0ms (0.4%)

Memory

-12.5MiB live, 73.4MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
6.0ms	x
5.0ms	(*.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
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 22 to 18 computations (18.2% saved)

regimes22.0ms (0.3%)

Memory

-6.5MiB live, 70.8MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(*.f64 x x)
4.0ms	(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
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 22 to 18 computations (18.2% saved)

regimes33.0ms (0.5%)

Memory

-9.3MiB live, 52.1MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

17.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.9%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.9%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.9%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes42.0ms (0.6%)

Memory

9.4MiB live, 48.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	x
4.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
74.6%	1	`x`
74.6%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
74.6%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
74.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
74.6%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes50.0ms (0.7%)

Memory

13.7MiB live, 52.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

39.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.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
74.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
74.6%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
74.6%	1	`x`
74.6%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
74.6%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes9.0ms (0.1%)

Memory

-3.2MiB live, 34.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(*.f64 x x)
2.0ms	x
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
74.6%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
74.6%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
74.6%	2	`x`
74.6%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
74.6%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes10.0ms (0.1%)

Memory

-17.4MiB live, 22.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

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

Calls

5 calls:

5.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
49.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
49.4%	1	`x`
49.4%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
49.4%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
49.4%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.012621966955302865	924.0324366284773

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch14.0ms (0.2%)

Memory

-9.9MiB live, 27.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.012621966955302865	924.0324366284773

Samples

5.0ms

144×

valid

Compiler

Compiled 91 to 118 computations (-29.7% saved)

Precisions

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

ival-sub: 1.0ms (35.6% of total)

ival-exp: 1.0ms (35.6% of total)

ival-neg: 1.0ms (35.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify23.0ms (0.3%)

Memory

20.0MiB live, 57.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`e-exp-1-binary64-exp.f64-E.f64`
2×	`1-exp-binary64-exp.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	120
1	51	120
2	53	120
3	54	120

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (neg.f64 (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) (.f64 x x) (E.f64))) (.f64 x x) (E.f64)))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64)) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Outputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (neg.f64 (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) (.f64 x x) (E.f64))) (.f64 x x) (E.f64)))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)) (E.f64)) (.f64 x x) (E.f64))) (.f64 x x) (E.f64)))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64)) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

soundness1.7s (24.3%)

Memory

1.6MiB live, 1 143.1MiB allocated

Rules

24 318×	`lower-fma.f64`
24 318×	`lower-fma.f32`
14 600×	`lower-fma.f64`
14 600×	`lower-fma.f32`
12 868×	`lower-fma.f64`

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
0	13	49
0	20	49
1	93	48
2	562	48
3	5345	48
0	8684	48
0	30	254
1	81	241
2	247	237
3	605	234
4	1328	234
5	2025	234
6	3122	234
7	5538	234
0	8219	211
0	15	73
0	21	73
1	83	71
2	445	71
3	3131	71
0	9041	71
0	17	63
0	26	62
1	95	54
2	567	54
3	4659	54
0	8808	54
0	63	542
1	197	527
2	688	508
3	2654	494
4	7138	494
0	8080	442
0	66	716
1	192	700
2	579	668
3	1286	660
4	1837	656
5	2350	656
6	3212	656
7	5178	656
8	7517	656
0	8079	562
0	67	562
1	211	544
2	546	518
3	1147	512
4	1608	506
5	2270	503
6	3676	503
7	4802	503
8	7165	503
0	8600	431

Stop Event

1×	fuel
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
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 282 to 178 computations (36.9% saved)

preprocess297.0ms (4.2%)

Memory: 24.8MiB live, 101.3MiB allocated
Remove: (abs x)
Compiler: Compiled 192 to 92 computations (52.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	81
0	21	81
1	27	80
2	33	79
3	37	79
4	47	79
5	47	79
6	48	79
7	51	79
8	54	79
9	55	79
0	55	79

Iter	Nodes	Cost
0	15	81
0	21	81
1	27	80
2	33	79
3	37	79
4	47	79
5	47	79
6	48	79
7	51	79
8	54	79
9	55	79
0	55	79

start0.0ms (0%)

analyze0.0ms (0%)

sample823.0ms (11.6%)

explain117.0ms (1.7%)

preprocess245.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify146.0ms (2.1%)

localize18.0ms (0.3%)

series3.0ms (0%)

simplify477.0ms (6.7%)

rewrite285.0ms (4%)

eval116.0ms (1.6%)

prune27.0ms (0.4%)

simplify159.0ms (2.2%)

localize40.0ms (0.6%)

series6.0ms (0.1%)

simplify160.0ms (2.3%)

rewrite325.0ms (4.6%)

eval109.0ms (1.5%)

prune40.0ms (0.6%)

simplify184.0ms (2.6%)

localize51.0ms (0.7%)

series5.0ms (0.1%)

simplify211.0ms (3%)

rewrite192.0ms (2.7%)

eval228.0ms (3.2%)

prune18.0ms (0.3%)

simplify9.0ms (0.1%)

localize33.0ms (0.5%)

series5.0ms (0.1%)

simplify437.0ms (6.2%)

rewrite213.0ms (3%)

eval129.0ms (1.8%)

prune22.0ms (0.3%)

regimes29.0ms (0.4%)

regimes22.0ms (0.3%)

regimes33.0ms (0.5%)

regimes42.0ms (0.6%)

regimes50.0ms (0.7%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify23.0ms (0.3%)

soundness1.7s (24.3%)

preprocess297.0ms (4.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	81
0	21	81
1	27	80
2	33	79
3	37	79
4	47	79
5	47	79
6	48	79
7	51	79
8	54	79
9	55	79
0	55	79