Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.6s (16.6%)

Memory

42.5MiB live, 2 774.5MiB allocated

Samples

584.0ms	1 578×	2	valid
375.0ms	2 403×	1	valid
306.0ms	4 275×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-exp: 470.0ms (46.9% of total)

ival-div: 126.0ms (12.6% of total)

ival-sub: 122.0ms (12.2% of total)

adjust: 101.0ms (10.1% of total)

ival-mult: 88.0ms (8.8% of total)

ival-add: 73.0ms (7.3% of total)

exact: 10.0ms (1% of total)

ival-true: 7.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain182.0ms (1.9%)

Memory

-23.3MiB live, 378.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
123	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	-	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	-	-	`#s(literal -2 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`	cancellation	123	0

Confusion

	Predicted +	Predicted -
+	123	0
-	0	133

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	0
-	0	0	133

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	112×	2	valid
26.0ms	132×	1	valid
17.0ms	268×	0	valid

Compiler

Compiled 86 to 34 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-exp: 26.0ms (46.6% of total)

adjust: 8.0ms (14.3% of total)

ival-div: 8.0ms (14.3% of total)

ival-add: 4.0ms (7.2% of total)

ival-mult: 4.0ms (7.2% of total)

ival-sub: 4.0ms (7.2% of total)

exact: 1.0ms (1.8% of total)

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

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

preprocess30.0ms (0.3%)

Memory

22.0MiB live, 60.3MiB allocated

Algorithm

1×	egg-herbie

Rules

96×	`sub-neg`
56×	`exp-prod`
56×	`+-commutative`
32×	`associate-+l-`
32×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Rules

8×	`lower-+.f32`
6×	`lower-+.f64`
6×	`lower-exp.f32`
4×	`exp-prod`
4×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	23	35
2	26	35
0	26	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (0.7%)

Memory

-1.3MiB live, 113.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

29.0ms	66×	1	valid
18.0ms	56×	2	valid
8.0ms	134×	0	valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

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

ival-exp: 30.0ms (69.6% of total)

adjust: 3.0ms (7% of total)

ival-div: 3.0ms (7% of total)

ival-add: 3.0ms (7% of total)

ival-sub: 3.0ms (7% of total)

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

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory

-25.4MiB live, 12.3MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 x)) (taylor 0 x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	x	@	-inf	(/ 2 (+ 1 (exp (* -2 x))))
1.0ms	x	@	inf	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms	x	@	-inf	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms	x	@	0	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0ms	x	@	inf	(/ 2 (+ 1 (exp (* -2 x))))

simplify269.0ms (2.8%)

Memory

49.1MiB live, 395.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
3 260×	`lower-*.f64`
3 260×	`lower-*.f32`
1 930×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(-.f64 #s(literal 1 binary64) (+.f64 x x))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))

rewrite289.0ms (3%)

Memory

-39.0MiB live, 426.3MiB allocated

Rules

3 790×	`lower-fma.f64`
3 790×	`lower-fma.f32`
3 628×	`lower-*.f32`
3 626×	`lower-*.f64`
2 806×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	14	28
1	53	28
2	371	28
3	5969	28
0	8136	28

Stop Event

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

Counts

4 → 282

Calls

Call 1

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

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

eval45.0ms (0.5%)

Memory: -6.6MiB live, 108.5MiB allocated
Compiler: Compiled 7 847 to 983 computations (87.5% saved)

prune74.0ms (0.8%)

Memory

3.5MiB live, 171.0MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	323	6	329
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	323	7	330

Accuracy

100.0%

Counts

330 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.2%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	31.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	31.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	30.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
▶	6.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	48.5%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 150 to 98 computations (34.7% saved)

simplify178.0ms (1.9%)

Memory

2.4MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))

Rules

4 230×	`lower-fma.f32`
4 226×	`lower-fma.f64`
944×	`lower-+.f32`
938×	`lower-+.f64`
930×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	215
0	45	209
1	81	209
2	126	209
3	206	209
4	428	209
5	871	209
6	1940	209
7	2698	209
8	2982	209
9	3193	209
10	3253	209
11	3273	209
12	3558	209
13	3781	209
14	3781	209
15	3781	209
0	3781	200

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
x
(+.f64 #s(literal -2 binary64) (+.f64 x x))
#s(literal -2 binary64)
(+.f64 x x)
#s(literal 1 binary64)

Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
x
(+.f64 #s(literal -2 binary64) (+.f64 x x))
#s(literal -2 binary64)
(+.f64 x x)
#s(literal 1 binary64)

localize145.0ms (1.5%)

Memory

-10.3MiB live, 259.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal -2 binary64) (+.f64 x x))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))))
accuracy	22.819560995735035	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0	(+.f64 x x)
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
accuracy	32.162677063140244	#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	28.64682163494182	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	32.00101395267067	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
accuracy	28.64682163494182	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	30.01000515823506	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
accuracy	0.08203125	(.f64 x (.f64 x x))
accuracy	32.98909033828586	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))

Samples

27.0ms	56×	2	valid
22.0ms	66×	1	valid
21.0ms	134×	0	valid

Compiler

Compiled 153 to 23 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-exp: 12.0ms (24.4% of total)

adjust: 11.0ms (22.4% of total)

ival-add: 8.0ms (16.3% of total)

ival-mult: 8.0ms (16.3% of total)

const: 5.0ms (10.2% of total)

ival-div: 3.0ms (6.1% of total)

ival-sub: 3.0ms (6.1% of total)

exact: 1.0ms (2% of total)

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

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

series12.0ms (0.1%)

Memory

31.7MiB live, 31.7MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x x)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal -2 binary64) (+.f64 x x)) (patch (+.f64 #s(literal -2 binary64) (+.f64 x x)) #<representation binary64>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* -1/3 (* x (* x x))) x)
0.0ms	x	@	inf	(+ (* -1/3 (* x (* x x))) x)
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(- 2 (+ x x))
0.0ms	x	@	0	(- 2 (+ x x))

simplify244.0ms (2.5%)

Memory

8.4MiB live, 366.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 476×	`lower-fma.f64`
12 476×	`lower-fma.f32`
2 692×	`lower-*.f64`
2 692×	`lower-*.f32`
2 502×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1588
1	198	1524
2	487	1520
3	1502	1520
4	3615	1520
5	6386	1520
0	8136	1424

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 220

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* 2 x) 2)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
-2
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 x) 2)
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
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(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))

rewrite103.0ms (1.1%)

Memory

-21.2MiB live, 211.0MiB allocated

Rules

1 788×	`lower-fma.f32`
1 784×	`lower-fma.f64`
624×	`lower-/.f32`
622×	`lower-/.f64`
578×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	200
0	45	182
1	221	182
0	2050	172

Stop Event

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

Counts

19 → 561

Calls

Call 1

Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(.f64 x (.f64 x x))
(*.f64 x x)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(+.f64 x x)
(+.f64 #s(literal -2 binary64) (+.f64 x x))

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

eval141.0ms (1.5%)

Memory: 30.7MiB live, 374.7MiB allocated
Compiler: Compiled 14 296 to 1 957 computations (86.3% saved)

prune133.0ms (1.4%)

Memory

23.7MiB live, 404.2MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	889	15	904
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	892	19	911

Accuracy

100.0%

Counts

911 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.2%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	30.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	31.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	31.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	31.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	30.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	26.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64))
	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (*.f64 x x))))) #s(literal 1 binary64))
▶	30.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
▶	28.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	6.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	48.5%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 509 to 319 computations (37.3% saved)

simplify219.0ms (2.3%)

Memory

-34.6MiB live, 394.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
cost-diff	128	(-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	192	(*.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x)))

Rules

13 838×	`lower-fma.f32`
13 830×	`lower-fma.f64`
3 682×	`lower--.f32`
3 670×	`lower--.f64`
3 042×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	410
0	65	400
1	125	400
2	256	400
3	656	400
4	2994	388
5	7503	388
0	8063	373

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
x
(fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x)))
(+.f64 #s(literal -2 binary64) (+.f64 x x))
#s(literal -2 binary64)
(+.f64 x x)
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))
#s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
(.f64 #s(literal 4 binary64) (.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))
#s(literal 8 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1 binary64)

Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (+.f64 #s(literal -2 binary64) x) (.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (+.f64 #s(literal -2 binary64) x) (.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (+.f64 #s(literal -2 binary64) x) (.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 (+.f64 #s(literal -2 binary64) x) (.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))
x
(fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64))
(fma.f64 x (.f64 x (fma.f64 (+.f64 #s(literal -2 binary64) x) (.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x)))
(fma.f64 (+.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal -2 binary64) (+.f64 x x))
#s(literal -2 binary64)
(+.f64 x x)
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (-.f64 (neg.f64 x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (-.f64 (neg.f64 x) x)))
#s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))
#s(approx (- 2 (+ x x)) (-.f64 (neg.f64 x) x))
(*.f64 x #s(literal -2 binary64))
(-.f64 (neg.f64 x) x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(fma.f64 x (+.f64 x x) #s(literal 2 binary64))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 2 binary64))
#s(literal 8 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1 binary64)

localize144.0ms (1.5%)

Memory

6.1MiB live, 371.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))))
accuracy	0.08203125	(.f64 x (.f64 x x))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	32.85305317416972	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))
accuracy	0.006191259768442017	(.f64 #s(literal 4 binary64) (.f64 x x))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
accuracy	33.31190264655586	#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))
accuracy	0	(+.f64 x x)
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
accuracy	23.0338179616726	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
accuracy	30.386316936927727	#s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))
accuracy	32.162677063140244	#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))
accuracy	0.02734375	(fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
accuracy	0.07421875	(fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	32.76399613198791	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))

Samples

34.0ms	56×	2	valid
25.0ms	134×	0	valid
23.0ms	66×	1	valid

Compiler

Compiled 251 to 31 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 15.0ms (28.1% of total)

adjust: 11.0ms (20.6% of total)

ival-exp: 11.0ms (20.6% of total)

ival-add: 8.0ms (15% of total)

ival-sub: 4.0ms (7.5% of total)

ival-div: 3.0ms (5.6% of total)

exact: 1.0ms (1.9% of total)

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

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

series18.0ms (0.2%)

Memory

-29.8MiB live, 48.7MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (patch (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (.f64 x #s(literal -2 binary64))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (.f64 x #s(literal -2 binary64)))) (patch #s(approx (+ 1 (exp ( -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x x)) (.f64 x #s(literal -2 binary64))) (patch #s(approx (- 2 (+ x x)) (.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (patch (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (patch (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)) (patch (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) (patch (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt 4 (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (patch (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -8 x)) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (patch (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* x (- (* 4 x) 8))) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (patch (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* x (- (* 4 x) 8))) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (patch (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor inf x) (#s(alt (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (patch (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 8 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (patch (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (pow x 5)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 8 (/ 1 x)) 4))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* 4 (/ 1 x)) 8) x)) 4))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 4) x)) 8) x)) 4))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (.f64 x x)) (patch (.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* (* (+ -2 (+ x x)) (+ -2 (+ x x))) (* x x)) -2)
1.0ms	x	@	inf	(+ (* (+ x x) x) 2)
0.0ms	x	@	inf	(* 4 (* x x))
0.0ms	x	@	-inf	(+ (* (* (+ -2 (+ x x)) (+ -2 (+ x x))) (* x x)) -2)
0.0ms	x	@	0	(* (+ -2 (+ x x)) (+ -2 (+ x x)))

simplify425.0ms (4.4%)

Memory

38.2MiB live, 352.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 146×	`lower-fma.f64`
13 146×	`lower-fma.f32`
3 602×	`lower-*.f64`
3 602×	`lower-*.f32`
3 194×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	2274
1	398	2200
2	1046	2200
3	3150	2188
4	7488	2188
0	8037	2054

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 295

Calls

Call 1

Inputs
4
(+ 4 (* -8 x))
(+ 4 (* x (- (* 4 x) 8)))
(+ 4 (* x (- (* 4 x) 8)))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 8 (/ 1 x))))
(* (pow x 2) (- (+ 4 (/ 4 (pow x 2))) (* 8 (/ 1 x))))
(* (pow x 2) (- (+ 4 (/ 4 (pow x 2))) (* 8 (/ 1 x))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 8 (/ 1 x))))
(* (pow x 2) (+ 4 (* -1 (/ (- 8 (* 4 (/ 1 x))) x))))
(* (pow x 2) (+ 4 (* -1 (/ (- 8 (* 4 (/ 1 x))) x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* -4 (pow x 2)))
(+ 2 (* -4 (pow x 2)))
(+ 2 (* -4 (pow x 2)))
(* -4 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 4))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* 8 (pow x 3)))
(+ 2 (* 8 (pow x 3)))
(+ 2 (* 8 (pow x 3)))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
-2
(- (* 4 (pow x 2)) 2)
(- (* (pow x 2) (+ 4 (* -8 x))) 2)
(- (* (pow x 2) (+ 4 (* x (- (* 4 x) 8)))) 2)
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 8 (/ 1 x))))
(* (pow x 4) (- (+ 4 (/ 4 (pow x 2))) (* 8 (/ 1 x))))
(* (pow x 4) (- (+ 4 (/ 4 (pow x 2))) (+ (* 8 (/ 1 x)) (* 2 (/ 1 (pow x 4))))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 8 (/ 1 x))))
(* (pow x 4) (+ 4 (* -1 (/ (- 8 (* 4 (/ 1 x))) x))))
(* (pow x 4) (+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 4 (* 2 (/ 1 (pow x 2)))) x))) x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 4 (pow x 2)) 2)))
(+ 2 (* x (- (* (pow x 2) (+ 4 (* -8 x))) 2)))
(* 4 (pow x 5))
(* (pow x 5) (- 4 (* 8 (/ 1 x))))
(* (pow x 5) (- (+ 4 (/ 4 (pow x 2))) (* 8 (/ 1 x))))
(* (pow x 5) (- (+ 4 (/ 4 (pow x 2))) (+ (* 8 (/ 1 x)) (* 2 (/ 1 (pow x 4))))))
(* 4 (pow x 5))
(* -1 (* (pow x 5) (- (* 8 (/ 1 x)) 4)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 4 (/ 1 x)) 8) x)) 4)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 4) x)) 8) x)) 4)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
4
#s(literal 4 binary64)
(+ 4 (* -8 x))
(fma.f64 #s(literal -8 binary64) x #s(literal 4 binary64))
(+ 4 (* x (- (* 4 x) 8)))
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal -8 binary64)) #s(literal 4 binary64))
(+ 4 (* x (- (* 4 x) 8)))
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal -8 binary64)) #s(literal 4 binary64))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* (pow x 2) (- 4 (* 8 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal -8 binary64)))
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(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* 8 (pow x 3)))
(fma.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64))
(+ 2 (* 8 (pow x 3)))
(fma.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64))
(+ 2 (* 8 (pow x 3)))
(fma.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64))
(* 8 (pow x 3))
(.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64))
(* 8 (pow x 3))
(.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (pow x 2)) 2)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (+ 4 (* -8 x))) 2)
(fma.f64 x (*.f64 x (fma.f64 #s(literal -8 binary64) x #s(literal 4 binary64))) #s(literal -2 binary64))
(- (* (pow x 2) (+ 4 (* x (- (* 4 x) 8)))) 2)
(fma.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal -8 binary64)) #s(literal 4 binary64)) (*.f64 x x) #s(literal -2 binary64))
(* 4 (pow x 4))
(.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 4 (* 8 (/ 1 x))))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (+ 4 (/ 4 (pow x 2))) (* 8 (/ 1 x))))
(.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x)) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (+ 4 (/ 4 (pow x 2))) (+ (* 8 (/ 1 x)) (* 2 (/ 1 (pow x 4))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) x)))
(* 4 (pow x 4))
(.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 4 (* 8 (/ 1 x))))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* -1 (/ (- 8 (* 4 (/ 1 x))) x))))
(.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x)) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 4 (* 2 (/ 1 (pow x 2)))) x))) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) x)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 4 (pow x 2)) 2)))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* (pow x 2) (+ 4 (* -8 x))) 2)))
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal -8 binary64) x #s(literal 4 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 4 (pow x 5))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 4 (* 8 (/ 1 x))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 4 (/ 4 (pow x 2))) (* 8 (/ 1 x))))
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x)) x)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 4 (/ 4 (pow x 2))) (+ (* 8 (/ 1 x)) (* 2 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) x)) x)))
(* 4 (pow x 5))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 8 (/ 1 x)) 4)))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 4 (/ 1 x)) 8) x)) 4)))
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x)) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 4) x)) 8) x)) 4)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) x)) x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

rewrite413.0ms (4.3%)

Memory

-1.8MiB live, 199.5MiB allocated

Rules

2 546×	`lower-fma.f32`
2 538×	`lower-fma.f64`
850×	`lower-*.f32`
840×	`lower-*.f64`
704×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	371
0	65	331
1	298	307
0	2892	285

Stop Event

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

Counts

25 → 1 035

Calls

Call 1

Inputs
(*.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))
#s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64))
(fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64))
(fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(+.f64 x x)
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 x (.f64 x x))

Outputs
(+.f64 (+.f64 x x) #s(literal 4 binary64))
(+.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(+.f64 #s(literal 4 binary64) (+.f64 x x))
(+.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 x x))
(+.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) x)) (+.f64 x x))
(+.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) x)) (.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))))
(+.f64 (*.f64 (+.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (+.f64 x x))
(+.f64 (.f64 (+.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 4 binary64) (+.f64 x x))
(-.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))
(fma.f64 #s(literal -2 binary64) x (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal -2 binary64) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal -2 binary64) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (+.f64 x x))
(fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) x) (+.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64))
(fma.f64 x #s(literal -2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 x (+.f64 x x) #s(literal 4 binary64))
(fma.f64 x (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(fma.f64 x #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 x #s(literal 4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) #s(literal -2 binary64) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) #s(literal -2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) x #s(literal 4 binary64))
(fma.f64 (+.f64 x x) x (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) (*.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) #s(literal 4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) #s(literal 8 binary64) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) #s(literal 8 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) (neg.f64 x) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) (neg.f64 x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) #s(literal -2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal -2 binary64) (+.f64 x x))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (+.f64 x x))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) x) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) x (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 (*.f64 x x) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 4 binary64))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 8 binary64)) #s(literal 4 binary64))
(fma.f64 (.f64 x x) (.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) x (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 x x)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 8 binary64) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal 8 binary64) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal 8 binary64) (*.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 4 binary64))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 4 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 4 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) x #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) x (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal -2 binary64) x) #s(literal -2 binary64) (+.f64 x x))
(fma.f64 (+.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))))
(fma.f64 (*.f64 x #s(literal 8 binary64)) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 (*.f64 x #s(literal 8 binary64)) (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 x #s(literal 8 binary64)) (.f64 x x) #s(literal 4 binary64))
(fma.f64 (.f64 x #s(literal 8 binary64)) (.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 x #s(literal 8 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 (.f64 x #s(literal 8 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 4 binary64))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 64 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 512 binary64) (pow.f64 (.f64 x (.f64 x x)) #s(literal 3 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 512 binary64) (pow.f64 (.f64 x (.f64 x x)) #s(literal 3 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (.f64 x (.f64 x x)) #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 4 binary64))
(fma.f64 (pow.f64 (.f64 x (.f64 x x)) #s(literal 3 binary64)) #s(literal 512 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 4 binary64))
(fma.f64 (pow.f64 (.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 4 binary64))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 4 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 4 binary64))
(fma.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (*.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 16 binary64) #s(literal 4 binary64))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 16 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal 4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) #s(literal 4 binary64))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 8 binary64)) (.f64 x #s(literal 8 binary64))) (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 8 binary64)) (.f64 x #s(literal 8 binary64))) (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 8 binary64)) x) x #s(literal 4 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 8 binary64)) x) x (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (.f64 (+.f64 x x) (.f64 x #s(literal 8 binary64))) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 (.f64 (+.f64 x x) (.f64 x #s(literal 8 binary64))) (*.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) x #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) x (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) x (pow.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 x x) (-.f64 (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (+.f64 x x)) (fma.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)) (-.f64 (+.f64 x x) (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 x x)))))
(/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 64 binary64) (+.f64 x x)) (+.f64 #s(literal 16 binary64) (+.f64 x x)))
(/.f64 (-.f64 #s(literal 64 binary64) (+.f64 x x)) (+.f64 #s(literal 16 binary64) (+.f64 x x)))
(/.f64 (-.f64 (+.f64 x x) (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) (-.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (+.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 x x) #s(literal -8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
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(/.f64 (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 x x)) (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (fma.f64 x x #s(literal 0 binary64))))
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(/.f64 (*.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal -8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (*.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))))
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(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 x #s(literal 8 binary64)) (.f64 x #s(literal 8 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 (*.f64 x #s(literal 8 binary64)) x) x)
(.f64 (.f64 (+.f64 x x) (.f64 x #s(literal 8 binary64))) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

eval413.0ms (4.3%)

Memory: -6.4MiB live, 613.2MiB allocated
Compiler: Compiled 35 707 to 5 117 computations (85.7% saved)

prune215.0ms (2.2%)

Memory

-8.7MiB live, 522.4MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 704	14	1 718
Fresh	7	3	10
Picked	4	1	5
Done	1	3	4
Total	1 716	21	1 737

Accuracy

100.0%

Counts

1 737 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	30.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (+.f64 x x) (.f64 x (*.f64 x x))) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	30.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	30.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
	26.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64))
	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
	30.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
▶	29.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
	28.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
▶	29.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	6.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	48.5%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 562 to 349 computations (37.9% saved)

simplify94.0ms (1%)

Memory

27.6MiB live, 106.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 2 (+ x x)) (+.f64 x x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))

Rules

1 598×	`lower-fma.f32`
1 592×	`lower-fma.f64`
1 276×	`unsub-neg`
1 200×	`lower-*.f32`
1 188×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	433
0	65	391
1	113	357
2	194	357
3	264	357
4	317	357
5	376	357
6	819	357
7	2128	357
8	3025	357
9	3096	357
10	3126	357
11	3142	357
12	3162	357
13	3170	357
14	3170	357
15	3182	357
0	3182	345

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 64 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))
#s(approx (- 2 (+ x x)) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 8 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))
#s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))
(.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))
x
(.f64 #s(literal 8 binary64) (.f64 x x))
#s(literal 8 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 16 binary64)
#s(literal 1 binary64)

Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64))) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64))) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64))) #s(literal 2 binary64))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 64 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))
#s(approx (- 2 (+ x x)) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (*.f64 x #s(literal 8 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (*.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (*.f64 x #s(literal 8 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
#s(literal 8 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))
#s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))
#s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))
x
(.f64 #s(literal 8 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 8 binary64)))
#s(literal 8 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 2 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 16 binary64)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 16 binary64)
#s(literal 1 binary64)

localize135.0ms (1.4%)

Memory

-39.2MiB live, 344.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64))
accuracy	0.08203125	(.f64 x (.f64 x x))
accuracy	18.227538117034616	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.08203125	(.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
accuracy	29.86945369840535	#s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))
accuracy	32.85305317416972	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))))
accuracy	23.02987894034937	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x))))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
accuracy	32.162677063140244	#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))
accuracy	62.61043165029631	#s(approx (- 2 (+ x x)) (+.f64 x x))
accuracy	0.08203125	(.f64 x (.f64 x x))
accuracy	0.11556625976844202	(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
accuracy	17.077212506068506	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))
accuracy	28.64682163494182	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))

Samples

37.0ms	56×	2	valid
25.0ms	134×	0	valid
24.0ms	66×	1	valid

Compiler

Compiled 243 to 30 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 15.0ms (27% of total)

ival-exp: 13.0ms (23.4% of total)

adjust: 9.0ms (16.2% of total)

ival-div: 7.0ms (12.6% of total)

ival-add: 7.0ms (12.6% of total)

ival-sub: 3.0ms (5.4% of total)

exact: 1.0ms (1.8% of total)

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

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

series16.0ms (0.2%)

Memory

3.6MiB live, 44.4MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x x)) (+.f64 x x)) (patch #s(approx (- 2 (+ x x)) (+.f64 x x)) #<representation binary64>) () ())
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#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 8 binary64) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 #s(literal 8 binary64) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
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#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))))) (patch #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)))) (patch #s(approx (+ ( 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
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#s(alt (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (patch (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 8 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) (patch (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x))) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* (* (* x (* x x)) (* x (* x x))) 64) 2)
0.0ms	x	@	inf	(+ (* (* (* x (* x x)) 16) x) 2)
0.0ms	x	@	-inf	(* x (* 8 (* x x)))
0.0ms	x	@	0	(+ (* (* (* x (* x x)) (* x (* x x))) 64) 2)
0.0ms	x	@	inf	(* x (* 8 (* x x)))

simplify195.0ms (2%)

Memory

-0.7MiB live, 432.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 578×	`lower-fma.f64`
10 578×	`lower-fma.f32`
3 870×	`lower-*.f64`
3 870×	`lower-*.f32`
2 584×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	2006
1	212	1956
2	450	1956
3	1189	1956
4	2186	1956
5	5017	1956
0	8118	1836

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 283

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* 64 (pow x 6)))
(+ 2 (* 64 (pow x 6)))
(+ 2 (* 64 (pow x 6)))
(* 64 (pow x 6))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(* 64 (pow x 6))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* 8 (pow x 2)))
(+ 2 (* 8 (pow x 2)))
(+ 2 (* 8 (pow x 2)))
(* 8 (pow x 2))
(* (pow x 2) (+ 8 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 8 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 8 (* 2 (/ 1 (pow x 2)))))
(* 8 (pow x 2))
(* (pow x 2) (+ 8 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 8 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 8 (* 2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* 8 (pow x 3)))
(+ 2 (* 8 (pow x 3)))
(+ 2 (* 8 (pow x 3)))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 8 (* 2 (/ 1 (pow x 3)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* 16 (pow x 4)))
(+ 2 (* 16 (pow x 4)))
(+ 2 (* 16 (pow x 4)))
(* 16 (pow x 4))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(* 16 (pow x 4))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))
(* 8 (pow x 3))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
2
#s(literal 2 binary64)
(+ 2 (* 64 (pow x 6)))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(+ 2 (* 64 (pow x 6)))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(+ 2 (* 64 (pow x 6)))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(* 64 (pow x 6))
(.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(* 64 (pow x 6))
(.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(* (pow x 6) (+ 64 (* 2 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
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(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
2
#s(literal 2 binary64)
(+ 2 (* 16 (pow x 4)))
(fma.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(+ 2 (* 16 (pow x 4)))
(fma.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(+ 2 (* 16 (pow x 4)))
(fma.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(* 16 (pow x 4))
(.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(* 16 (pow x 4))
(.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(* (pow x 4) (+ 16 (* 2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))

rewrite107.0ms (1.1%)

Memory

18.6MiB live, 216.4MiB allocated

Rules

3 030×	`lower-fma.f32`
3 024×	`lower-fma.f64`
668×	`lower-*.f32`
656×	`lower-*.f64`
532×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	385
0	65	313
1	267	283
0	2361	267

Stop Event

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

Counts

24 → 666

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))
#s(approx (- 2 (+ x x)) (+.f64 x x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))
#s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))))) (fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))))))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))))))
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(.f64 (pow.f64 (.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 3 binary64)) #s(literal 262144 binary64))
(.f64 #s(literal 262144 binary64) (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 3 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 64 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 4096 binary64))
(.f64 #s(literal 4096 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (.f64 (.f64 x #s(literal 8 binary64)) (.f64 x #s(literal 8 binary64))) (*.f64 x x))
(.f64 (.f64 (.f64 x #s(literal 8 binary64)) (.f64 x #s(literal 8 binary64))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 (+.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 64 binary64))
(.f64 (.f64 (+.f64 x x) #s(literal 64 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 8 binary64))) (*.f64 x x)) #s(literal 8 binary64))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 8 binary64))) #s(literal 8 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 8 binary64))) (*.f64 x #s(literal 8 binary64))) x)
(.f64 (.f64 #s(literal 64 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 #s(literal 64 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 (+.f64 x x) (.f64 x #s(literal 8 binary64))) (.f64 x x))

eval201.0ms (2.1%)

Memory: 9.9MiB live, 323.7MiB allocated
Compiler: Compiled 17 555 to 1 613 computations (90.8% saved)

prune127.0ms (1.3%)

Memory

-21.0MiB live, 293.2MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	1 036	11	1 047
Fresh	7	5	12
Picked	4	1	5
Done	0	4	4
Total	1 047	21	1 068

Accuracy

100.0%

Counts

1 068 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (+.f64 x x) (.f64 x (*.f64 x x))) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
	26.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64))
✓	29.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
	29.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (* (* x (* x x)) (* x (* x x))) 64) 2) (.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal 1 binary64))
	29.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 64 binary64))))))) #s(literal 1 binary64))
	28.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
	29.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
	28.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
	28.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))
	29.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x x)))))) #s(literal 1 binary64))
	29.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
	28.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
	29.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	6.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	48.5%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 924 to 364 computations (60.6% saved)

regimes98.0ms (1%)

Memory

31.5MiB live, 268.3MiB allocated

Counts

47 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 64 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (+.f64 x x) (.f64 x (*.f64 x x))) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (* (* x (* x x)) (* x (* x x))) 64) 2) (.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (* (* x (* x x)) (* x (* x x))) 64) 2) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 1 binary64))

Calls

7 calls:

17.0ms	(*.f64 #s(literal -2 binary64) x)
15.0ms	x
14.0ms	y
13.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
12.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
64.4%	5	`y`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes120.0ms (1.2%)

Memory

-32.5MiB live, 138.3MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 64 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (+.f64 x x) (.f64 x (*.f64 x x))) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x x)))))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x x)))))) #s(literal 1 binary64))

Calls

6 calls:

34.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
34.0ms	(*.f64 #s(literal -2 binary64) x)
16.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
14.0ms	x
10.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes76.0ms (0.8%)

Memory

11.1MiB live, 164.3MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 64 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (+.f64 x x) (.f64 x (*.f64 x x))) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Calls

6 calls:

16.0ms	x
13.0ms	(*.f64 #s(literal -2 binary64) x)
13.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
12.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
10.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes73.0ms (0.8%)

Memory

7.4MiB live, 167.7MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 64 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (+.f64 x x) (.f64 x (*.f64 x x))) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

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

Calls

6 calls:

15.0ms	(*.f64 #s(literal -2 binary64) x)
13.0ms	x
12.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
11.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
10.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.9%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.9%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.9%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.9%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes68.0ms (0.7%)

Memory

5.4MiB live, 164.4MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 64 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 64 binary64))))))) #s(literal 1 binary64))

Calls

6 calls:

12.0ms	x
12.0ms	(*.f64 #s(literal -2 binary64) x)
11.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
10.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
9.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.9%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.9%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.9%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.9%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes87.0ms (0.9%)

Memory

-6.6MiB live, 159.9MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))

Calls

6 calls:

33.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
12.0ms	x
12.0ms	(*.f64 #s(literal -2 binary64) x)
10.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
9.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.9%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.9%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.9%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.9%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes59.0ms (0.6%)

Memory

7.6MiB live, 124.8MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))

Outputs

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))

Calls

6 calls:

11.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
11.0ms	(*.f64 #s(literal -2 binary64) x)
10.0ms	x
9.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
8.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
75.9%	2	`x`
75.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
75.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
75.9%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes57.0ms (0.6%)

Memory

4.4MiB live, 121.8MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

Calls

6 calls:

12.0ms	x
10.0ms	(*.f64 #s(literal -2 binary64) x)
9.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
9.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
8.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
75.9%	2	`(*.f64 #s(literal -2 binary64) x)`
75.9%	2	`x`
75.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
75.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes51.0ms (0.5%)

Memory

-2.9MiB live, 112.5MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

Calls

6 calls:

10.0ms	x
9.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
8.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
7.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
75.8%	2	`(*.f64 #s(literal -2 binary64) x)`
75.8%	2	`x`
75.8%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.8%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
75.8%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes50.0ms (0.5%)

Memory

-18.8MiB live, 99.1MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 x (*.f64 #s(literal 8 binary64) (*.f64 x x)))))) #s(literal 1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

Calls

6 calls:

10.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
9.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	x
8.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
7.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
75.8%	2	`(*.f64 #s(literal -2 binary64) x)`
75.8%	2	`x`
75.8%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
75.8%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.8%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes57.0ms (0.6%)

Memory

7.1MiB live, 128.2MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) (*.f64 x x))))) #s(literal 1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

Calls

6 calls:

15.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
11.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
8.0ms	x
8.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
75.8%	2	`x`
75.8%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.8%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
75.8%	2	`(*.f64 #s(literal -2 binary64) x)`
75.8%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes35.0ms (0.4%)

Memory

6.7MiB live, 85.1MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))

Calls

6 calls:

7.0ms	x
6.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
5.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
75.6%	2	`(*.f64 #s(literal -2 binary64) x)`
75.6%	2	`x`
75.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
75.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes33.0ms (0.3%)

Memory

-13.5MiB live, 67.0MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (* 4 (* x x))) (.f64 (.f64 x x) #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (*.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64))

Calls

6 calls:

6.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
75.6%	2	`(*.f64 #s(literal -2 binary64) x)`
75.6%	2	`x`
75.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
75.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes25.0ms (0.3%)

Memory

15.6MiB live, 55.1MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

Calls

6 calls:

5.0ms	x
4.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
75.6%	2	`(*.f64 #s(literal -2 binary64) x)`
75.6%	2	`x`
75.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
75.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes23.0ms (0.2%)

Memory

14.7MiB live, 54.1MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

Calls

6 calls:

5.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
75.6%	2	`x`
75.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
75.6%	2	`(*.f64 #s(literal -2 binary64) x)`
75.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes21.0ms (0.2%)

Memory

-30.6MiB live, 49.8MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64))

Calls

6 calls:

4.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
75.3%	2	`(*.f64 #s(literal -2 binary64) x)`
75.3%	2	`x`
75.3%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.3%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
75.3%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.3%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes12.0ms (0.1%)

Memory

32.8MiB live, 32.8MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

Calls

6 calls:

2.0ms	x
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
75.3%	2	`(*.f64 #s(literal -2 binary64) x)`
75.3%	2	`x`
75.3%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.3%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
75.3%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.3%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes13.0ms (0.1%)

Memory

-4.6MiB live, 35.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x))

Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))

Calls

7 calls:

2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	y
2.0ms	x
2.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
48.5%	1	`y`
48.5%	1	`(*.f64 #s(literal -2 binary64) x)`
48.5%	1	`x`
48.5%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
48.5%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
48.5%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
48.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes12.0ms (0.1%)

Memory

-9.0MiB live, 30.5MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
2.0ms	y
2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
6.0%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
6.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
6.0%	1	`x`
6.0%	1	`y`
6.0%	1	`(*.f64 #s(literal -2 binary64) x)`
6.0%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
6.0%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes10.0ms (0.1%)

Memory

-15.2MiB live, 25.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	y
1.0ms	x
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
4.3%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
4.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
4.3%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
4.3%	1	`x`
4.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
4.3%	1	`y`
4.3%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.461181382038079e-5	844.8496970109104
0.0ms	-102292.66336053706	-5.880045729408279e-13

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.461181382038079e-5	844.8496970109104
0.0ms	-102292.66336053706	-5.880045729408279e-13

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.461181382038079e-5	844.8496970109104
0.0ms	-102292.66336053706	-5.880045729408279e-13

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.461181382038079e-5	844.8496970109104
0.0ms	-102292.66336053706	-5.880045729408279e-13

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.461181382038079e-5	844.8496970109104
0.0ms	-102292.66336053706	-5.880045729408279e-13

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.461181382038079e-5	844.8496970109104
0.0ms	-102292.66336053706	-5.880045729408279e-13

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000246121166936	+inf

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999876940930904

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999876940930904

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999876940930904

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999876940930904

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000246121166936	+inf

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000246121166936	+inf

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999876940930904

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999876940930904

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000246121166936	+inf

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999876940930904

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify20.0ms (0.2%)

Memory

-8.5MiB live, 31.0MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`unsub-neg_binary64`
54×	`*-commutative_binary64`
52×	`+-commutative_binary64`
48×	`sub-neg_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	1121
1	203	1121
2	231	1121
3	242	1121
4	257	1121
5	296	1121
6	305	1121
7	308	1121

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (* (* x (* x x)) (* x (* x x))) 64) 2) (.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x x)))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (.f64 (+.f64 x x) (.f64 x (*.f64 x x))) x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 64 binary64))))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
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(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
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(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (* (* x (* x x)) (* x (* x x))) 64) 2) (.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (* (* x (* x x)) (* x (* x x))) 64) 2) (.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x x)))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x x) (*.f64 x #s(literal 16 binary64))))))) #s(literal -1 binary64))))
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(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -100000 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x x))))))) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64)))
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(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x (.f64 x x)) #s(literal 16 binary64))))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 #s(literal 8 binary64) (.f64 x x)))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)))))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) (.f64 x x))))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (.f64 x x) #s(literal 16 binary64))))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (.f64 x (+.f64 x x))))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 #s(literal 4 binary64) x)))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* 8 (* x (* x x))) 2) (*.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (- 2 (+ x x)) (+.f64 x x)))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal -1 binary64))

soundness2.2s (23%)

Memory

-7.2MiB live, 1 471.7MiB allocated

Rules

15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
13 146×	`lower-fma.f64`
13 146×	`lower-fma.f32`
12 476×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	200
0	45	182
1	221	182
0	2050	172
0	43	385
0	65	313
1	267	283
0	2361	267
0	146	2274
1	398	2200
2	1046	2200
3	3150	2188
4	7488	2188
0	8037	2054
0	87	2006
1	212	1956
2	450	1956
3	1189	1956
4	2186	1956
5	5017	1956
0	8118	1836
0	39	371
0	65	331
1	298	307
0	2892	285
0	76	1588
1	198	1524
2	487	1520
3	1502	1520
4	3615	1520
5	6386	1520
0	8136	1424
0	49	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327

Stop Event

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

Compiler

Compiled 1 441 to 637 computations (55.8% saved)

preprocess103.0ms (1.1%)

Memory: 33.6MiB live, 265.1MiB allocated
Remove: (abs y)
Compiler: Compiled 1 700 to 406 computations (76.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (16.6%)

explain182.0ms (1.9%)

preprocess30.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize66.0ms (0.7%)

series51.0ms (0.5%)

simplify269.0ms (2.8%)

rewrite289.0ms (3%)

eval45.0ms (0.5%)

prune74.0ms (0.8%)

simplify178.0ms (1.9%)

localize145.0ms (1.5%)

series12.0ms (0.1%)

simplify244.0ms (2.5%)

rewrite103.0ms (1.1%)

eval141.0ms (1.5%)

prune133.0ms (1.4%)

simplify219.0ms (2.3%)

localize144.0ms (1.5%)

series18.0ms (0.2%)

simplify425.0ms (4.4%)

rewrite413.0ms (4.3%)

eval413.0ms (4.3%)

prune215.0ms (2.2%)

simplify94.0ms (1%)

localize135.0ms (1.4%)

series16.0ms (0.2%)

simplify195.0ms (2%)

rewrite107.0ms (1.1%)

eval201.0ms (2.1%)

prune127.0ms (1.3%)

regimes98.0ms (1%)

regimes120.0ms (1.2%)

regimes76.0ms (0.8%)

regimes73.0ms (0.8%)

regimes68.0ms (0.7%)

regimes87.0ms (0.9%)

regimes59.0ms (0.6%)

regimes57.0ms (0.6%)

regimes51.0ms (0.5%)

regimes50.0ms (0.5%)

regimes57.0ms (0.6%)

regimes35.0ms (0.4%)

regimes33.0ms (0.3%)

regimes25.0ms (0.3%)

regimes23.0ms (0.2%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify20.0ms (0.2%)

soundness2.2s (23%)

preprocess103.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10