Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (17.1%)

Memory

-43.1MiB live, 863.9MiB allocated

Samples

653.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 383.0ms

ival-exp: 148.0ms (38.7% of total)

ival-mult: 137.0ms (35.8% of total)

ival-sub: 46.0ms (12% of total)

ival-neg: 39.0ms (10.2% of total)

ival-true: 6.0ms (1.6% of total)

exact: 4.0ms (1% of total)

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

Bogosity

explain155.0ms (2.4%)

Memory

22.1MiB live, 96.8MiB 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

41.0ms

512×

valid

Compiler

Compiled 80 to 34 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-neg: 18.0ms (61.6% of total)

ival-exp: 4.0ms (13.7% of total)

ival-mult: 4.0ms (13.7% of total)

ival-sub: 2.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess282.0ms (4.4%)

Memory

-6.4MiB live, 188.9MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify147.0ms (2.3%)

Memory

13.7MiB live, 167.7MiB 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

localize58.0ms (0.9%)

Memory

-28.3MiB live, 26.9MiB 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	0.0078125	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

53.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 19.0ms (77.8% of total)

ival-exp: 2.0ms (8.2% of total)

ival-mult: 2.0ms (8.2% of total)

ival-neg: 1.0ms (4.1% 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

5.0MiB live, 5.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (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))

simplify138.0ms (2.2%)

Memory

4.0MiB live, 191.7MiB 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)

rewrite153.0ms (2.4%)

Memory

32.9MiB live, 303.4MiB 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)))

eval132.0ms (2.1%)

Memory: -4.8MiB live, 288.9MiB allocated
Compiler: Compiled 10 865 to 1 802 computations (83.4% saved)

prune64.0ms (1%)

Memory

32.8MiB live, 233.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	543	5	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	544	5	549

Accuracy

100.0%

Counts

549 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))
▶	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	54.7%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	54.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 60 to 52 computations (13.3% saved)

simplify96.0ms (1.5%)

Memory

-5.8MiB live, 189.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 #s(literal -1 binary64))
cost-diff	384	(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))
cost-diff	6144	(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)))
cost-diff	7104	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))
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)))
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))

Rules

7 784×	`lower-fma.f32`
7 782×	`lower-fma.f64`
2 386×	`lower-*.f32`
2 384×	`lower-*.f64`
1 030×	`lower--.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	36	100
1	53	92
2	86	89
3	175	89
4	461	89
5	1209	89
6	4712	86
0	8139	86

Stop Event

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

Calls

Call 1

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

Outputs
(/.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)
(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)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -2 binary64)
#s(literal 2 binary64)

localize96.0ms (1.5%)

Memory

-48.7MiB live, 154.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))
accuracy	0	(exp.f64 #s(literal -1 binary64))
accuracy	0.00390625	(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)))
accuracy	0.0078125	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0078125	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	34.59341326074665	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.0078125	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	29.622864039421085	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
accuracy	0	(exp.f64 x)
accuracy	0	(E.f64)
accuracy	0.00390625	(pow.f64 (exp.f64 x) x)
accuracy	0.0078125	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))

Samples

83.0ms

256×

valid

Compiler

Compiled 100 to 21 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 28.0ms (46.8% of total)

ival-pow: 11.0ms (18.4% of total)

ival-exp: 9.0ms (15% of total)

ival-div: 3.0ms (5% of total)

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

ival-pow2: 2.0ms (3.3% of total)

ival-add: 1.0ms (1.7% of total)

ival-sub: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-14.2MiB live, 24.0MiB allocated

Counts

15 → 156

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify189.0ms (3%)

Memory

2.9MiB live, 238.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 654×	`lower-fma.f64`
16 654×	`lower-fma.f32`
5 452×	`lower-*.f64`
5 452×	`lower-*.f32`
2 332×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1034
1	327	992
2	1065	943
3	2735	930
4	4481	925
5	5324	925
6	6533	925
0	8183	794

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(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)
(pow (exp -1/2) 2)
(+ (* (pow x 2) (pow (exp -1/2) 2)) (pow (exp -1/2) 2))
(+ (* (pow x 2) (+ (* 1/2 (* (pow x 2) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (pow (exp -1/2) 2)) (* (pow x 2) (+ (* 1/24 (pow (exp -1/2) 2)) (* 1/8 (pow (exp -1/2) 2)))))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(exp -1/2)
(+ (exp -1/2) (* 1/2 (* (pow x 2) (exp -1/2))))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/8 (* (pow x 2) (exp -1/2))) (* 1/2 (exp -1/2)))))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/2 (exp -1/2)) (* (pow x 2) (+ (* 1/48 (* (pow x 2) (exp -1/2))) (* 1/8 (exp -1/2)))))))
1/2
(+ 1/2 (* -1/2 (pow x 2)))
(+ 1/2 (* -1/2 (pow x 2)))
(+ 1/2 (* -1/2 (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))))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(/ (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))))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))

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
#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 -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))
(pow (exp -1/2) 2)
(exp.f64 #s(literal -1 binary64))
(+ (* (pow x 2) (pow (exp -1/2) 2)) (pow (exp -1/2) 2))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (* (pow x 2) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(/.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) (+ (* 1/2 (pow (exp -1/2) 2)) (* (pow x 2) (+ (* 1/24 (pow (exp -1/2) 2)) (* 1/8 (pow (exp -1/2) 2)))))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(/.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))
(exp -1/2)
(exp.f64 #s(literal -1/2 binary64))
(+ (exp -1/2) (* 1/2 (* (pow x 2) (exp -1/2))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/8 (* (pow x 2) (exp -1/2))) (* 1/2 (exp -1/2)))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/2 (exp -1/2)) (* (pow x 2) (+ (* 1/48 (* (pow x 2) (exp -1/2))) (* 1/8 (exp -1/2)))))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 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))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(* -1/2 (pow x 2))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 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))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(* -1/2 (pow x 2))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))

rewrite156.0ms (2.5%)

Memory

15.6MiB live, 250.5MiB allocated

Rules

3 708×	`lower-*.f32`
3 706×	`lower-*.f64`
3 570×	`lower-fma.f32`
3 568×	`lower-fma.f64`
2 922×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	91
0	36	87
1	128	74
2	745	73
3	7306	73
0	8592	73

Stop Event

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

Counts

15 → 1 061

Calls

Call 1

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

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

eval225.0ms (3.6%)

Memory: 26.4MiB live, 302.3MiB allocated
Compiler: Compiled 25 041 to 3 575 computations (85.7% saved)

prune180.0ms (2.8%)

Memory

-26.0MiB live, 250.1MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 551	4	1 555
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 554	6	1 560

Accuracy

100.0%

Counts

1 560 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (*.f64 (E.f64) (exp.f64 x)) (-.f64 x #s(literal 1 binary64)))
▶	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
▶	78.5%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	54.8%	(/.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)))
✓	54.7%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify161.0ms (2.5%)

Memory

17.4MiB live, 147.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

8 140×	`lower-fma.f32`
8 136×	`lower-fma.f64`
3 782×	`lower-*.f32`
3 780×	`lower-*.f64`
1 924×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	28	76
1	38	76
2	49	76
3	74	76
4	109	76
5	190	76
6	445	76
7	1985	76
8	3135	76
9	4640	76
10	6787	76
11	7710	76
0	8030	76

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

localize78.0ms (1.2%)

Memory

-18.4MiB live, 57.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0	(E.f64)
accuracy	0.01171875	(pow.f64 (*.f64 (E.f64) (exp.f64 x)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.03125	(*.f64 (E.f64) (exp.f64 x))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(E.f64)
accuracy	0.015625	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(E.f64)
accuracy	0.0078125	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
accuracy	13.71350265055066	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0	(E.f64)
accuracy	0.0078125	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
accuracy	28.941430956609892	#s(approx (pow (exp x) x) #s(literal 1 binary64))

Samples

54.0ms

256×

valid

Compiler

Compiled 67 to 16 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-exp: 21.0ms (48.3% of total)

ival-pow: 13.0ms (29.9% of total)

ival-mult: 3.0ms (6.9% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

11 → 120

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

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

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

simplify168.0ms (2.6%)

Memory

18.7MiB live, 206.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 394×	`lower-fma.f64`
18 394×	`lower-fma.f32`
3 382×	`lower-*.f64`
3 382×	`lower-*.f32`
2 552×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	742
1	433	718
2	1068	690
3	2643	684
4	3526	678
5	7346	678
0	8068	588

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

rewrite189.0ms (3%)

Memory

-19.6MiB live, 213.5MiB allocated

Rules

4 500×	`lower-*.f32`
4 498×	`lower-*.f64`
3 304×	`lower-/.f32`
3 300×	`lower-/.f64`
3 292×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	28	61
1	122	59
2	767	59
0	8064	59

Stop Event

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

Counts

11 → 903

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

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

eval171.0ms (2.7%)

Memory: 54.2MiB live, 312.0MiB allocated
Compiler: Compiled 17 484 to 2 485 computations (85.8% saved)

prune396.0ms (6.2%)

Memory

-78.2MiB live, 285.6MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 197	3	1 200
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	1 198	8	1 206

Accuracy

100.0%

Counts

1 206 → 8

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)))
▶	97.3%	(pow.f64 #s(approx (* (E) (exp x)) (E.f64)) (-.f64 x #s(literal 1 binary64)))
✓	78.5%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	27.1%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	54.8%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
▶	78.5%	(/.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)))
✓	54.7%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 49 to 43 computations (12.2% saved)

simplify11.0ms (0.2%)

Memory

-28.5MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

34×	`lower-*.f32`
32×	`lower-*.f64`
18×	`lower-/.f32`
12×	`*-commutative`
12×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	103
0	28	103
1	38	102
2	47	101
3	51	101
4	61	101
5	61	101
6	63	101
7	68	101
8	71	101
9	72	101
0	72	101

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

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

localize47.0ms (0.7%)

Memory

10.0MiB live, 85.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(pow.f64 #s(approx (* (E) (exp x)) (E.f64)) (-.f64 x #s(literal 1 binary64)))
accuracy	1.981270995339638	#s(approx (* (E) (exp x)) (E.f64))
accuracy	27.366652985226334	(E.f64)
accuracy	0.0078125	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
accuracy	1.2181869937684033	#s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	27.366652985226334	(E.f64)
accuracy	33.930352742681386	#s(approx (+ (* x x) 1) (*.f64 x x))
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	0.0078125	(/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
accuracy	1.2181869937684033	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	27.366652985226334	(E.f64)

Samples

21.0ms	143×	0	valid
15.0ms	113×	0	exit

Compiler

Compiled 66 to 15 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 9.0ms (34% of total)

ival-div: 6.0ms (22.6% of total)

ival-mult: 5.0ms (18.9% of total)

ival-add: 2.0ms (7.5% of total)

ival-exp: 2.0ms (7.5% of total)

ival-e: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.8% 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

13.7MiB live, 13.7MiB allocated

Counts

11 → 120

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

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

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

simplify197.0ms (3.1%)

Memory

-20.0MiB live, 254.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20 590×	`lower-fma.f64`
20 590×	`lower-fma.f32`
4 706×	`lower-*.f64`
4 706×	`lower-*.f32`
2 718×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	710
1	401	689
2	1166	670
3	4220	666
0	8687	599

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

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

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

rewrite146.0ms (2.3%)

Memory

9.0MiB live, 244.8MiB allocated

Rules

3 684×	`lower-*.f32`
3 682×	`lower-*.f64`
3 088×	`lower-pow.f32`
3 086×	`lower-pow.f64`
2 202×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	92
0	28	92
1	109	90
2	611	90
3	4738	90
0	8194	90

Stop Event

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

Counts

11 → 540

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

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 (.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1/2 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 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1/2 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 (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 (pow.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) #s(literal 1/2 binary64)) #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 #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))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (neg.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (neg.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (/.f64 (*.f64 x x) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (neg.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(expm1.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (neg.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval142.0ms (2.2%)

Memory: -13.8MiB live, 275.1MiB allocated
Compiler: Compiled 11 614 to 1 907 computations (83.6% saved)

prune91.0ms (1.4%)

Memory

26.4MiB live, 188.6MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	870	4	874
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	870	12	882

Accuracy

100.0%

Counts

882 → 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)))
✓	97.3%	(pow.f64 #s(approx (* (E) (exp x)) (E.f64)) (-.f64 x #s(literal 1 binary64)))
	78.5%	(/.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)))))
✓	78.5%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
✓	27.1%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	54.8%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
✓	78.5%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
	27.1%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
	78.5%	(/.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))))
	77.7%	(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (.f64 (neg.f64 (sqrt.f64 (E.f64))) (/.f64 #s(literal -1 binary64) #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)))
✓	54.7%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 229 to 134 computations (41.5% saved)

regimes24.0ms (0.4%)

Memory

0.8MiB live, 40.3MiB allocated

Counts

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

Outputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))

Calls

5 calls:

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

7.1MiB live, 47.4MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes17.0ms (0.3%)

Memory

-21.2MiB live, 18.5MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.8%	2	`x`
98.8%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
98.8%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
98.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
98.8%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes16.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
97.3%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
97.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
97.3%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes15.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
78.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
78.5%	1	`x`
78.5%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
78.5%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
78.5%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes31.0ms (0.5%)

Memory

-25.3MiB live, 14.4MiB allocated

Counts

4 → 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)))))

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

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.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
78.5%	1	`x`
78.5%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
78.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
78.5%	1	`(*.f64 x x)`
78.5%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB 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:

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

Results

Accuracy	Segments	Branch
78.0%	2	`x`
78.0%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
78.0%	2	`(*.f64 x x)`
78.0%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
78.0%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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:

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

Results

Accuracy	Segments	Branch
54.8%	1	`x`
54.8%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
54.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
54.8%	1	`(*.f64 x x)`
54.8%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.11284686238773584	31356.306601387903

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4118264988549813	+inf

Compiler

Compiled 10 to 10 computations (0% saved)

simplify29.0ms (0.5%)

Memory

-31.8MiB live, 48.5MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
28×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
26×	`neg-mul-1-binary64-*.f64-neg.f64`
22×	`distribute-neg-in-binary64-+.f64-neg.f64`
20×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	117
1	55	117
2	68	116
3	90	116
4	114	116
5	138	116
6	151	116
7	162	116
8	170	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(pow.f64 #s(approx (* (E) (exp x)) (E.f64)) (-.f64 x #s(literal 1 binary64)))
(/.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))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 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
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(pow.f64 #s(approx (* (E) (exp x)) (E.f64)) (-.f64 x #s(literal 1 binary64)))
(/.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))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 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)))
(if (<=.f64 (exp.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 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))

soundness1.1s (18%)

Memory

43.4MiB live, 547.9MiB allocated

Rules

18 394×	`lower-fma.f64`
18 394×	`lower-fma.f32`
16 654×	`lower-fma.f64`
16 654×	`lower-fma.f32`
9 734×	`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	111	1034
1	327	992
2	1065	943
3	2735	930
4	4481	925
5	5324	925
6	6533	925
0	8183	794
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	130	742
1	433	718
2	1068	690
3	2643	684
4	3526	678
5	7346	678
0	8068	588
0	23	91
0	36	87
1	128	74
2	745	73
3	7306	73
0	8592	73
0	17	63
0	28	61
1	122	59
2	767	59
0	8064	59

Stop Event

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

Compiler

Compiled 278 to 184 computations (33.8% saved)

preprocess56.0ms (0.9%)

Memory: -11.4MiB live, 109.7MiB allocated
Remove: (abs x)
Compiler: Compiled 180 to 88 computations (51.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	103
0	28	103
1	38	102
2	47	101
3	51	101
4	61	101
5	61	101
6	63	101
7	68	101
8	71	101
9	72	101
0	72	101

Iter	Nodes	Cost
0	20	103
0	28	103
1	38	102
2	47	101
3	51	101
4	61	101
5	61	101
6	63	101
7	68	101
8	71	101
9	72	101
0	72	101

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (17.1%)

explain155.0ms (2.4%)

preprocess282.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify147.0ms (2.3%)

localize58.0ms (0.9%)

series3.0ms (0%)

simplify138.0ms (2.2%)

rewrite153.0ms (2.4%)

eval132.0ms (2.1%)

prune64.0ms (1%)

simplify96.0ms (1.5%)

localize96.0ms (1.5%)

series12.0ms (0.2%)

simplify189.0ms (3%)

rewrite156.0ms (2.5%)

eval225.0ms (3.6%)

prune180.0ms (2.8%)

simplify161.0ms (2.5%)

localize78.0ms (1.2%)

series7.0ms (0.1%)

simplify168.0ms (2.6%)

rewrite189.0ms (3%)

eval171.0ms (2.7%)

prune396.0ms (6.2%)

simplify11.0ms (0.2%)

localize47.0ms (0.7%)

series6.0ms (0.1%)

simplify197.0ms (3.1%)

rewrite146.0ms (2.3%)

eval142.0ms (2.2%)

prune91.0ms (1.4%)

regimes24.0ms (0.4%)

regimes22.0ms (0.3%)

regimes17.0ms (0.3%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes31.0ms (0.5%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify29.0ms (0.5%)

soundness1.1s (18%)

preprocess56.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	103
0	28	103
1	38	102
2	47	101
3	51	101
4	61	101
5	61	101
6	63	101
7	68	101
8	71	101
9	72	101
0	72	101