Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample2.5s (28.4%)

Memory

49.0MiB live, 2 898.8MiB allocated

Samples

753.0ms	1 625×	2	valid
672.0ms	4 268×	0	valid
639.0ms	2 363×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-exp: 758.0ms (44.8% of total)

ival-sub: 266.0ms (15.7% of total)

ival-add: 211.0ms (12.5% of total)

ival-mult: 198.0ms (11.7% of total)

ival-div: 124.0ms (7.3% of total)

adjust: 112.0ms (6.6% of total)

exact: 12.0ms (0.7% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain167.0ms (1.9%)

Memory

-8.8MiB live, 392.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(-.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	119	0

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	1	136

Precision?

0.9916666666666667

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	98×	2	valid
25.0ms	286×	0	valid
22.0ms	128×	1	valid

Compiler

Compiled 86 to 34 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-exp: 22.0ms (46.4% of total)

ival-div: 7.0ms (14.7% of total)

adjust: 5.0ms (10.5% of total)

ival-add: 4.0ms (8.4% of total)

ival-mult: 4.0ms (8.4% of total)

ival-sub: 4.0ms (8.4% of total)

exact: 1.0ms (2.1% of total)

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

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

preprocess30.0ms (0.3%)

Memory

4.0MiB live, 42.5MiB 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 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))

Symmetry

(abs y)

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.9%	(-.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

8.5MiB live, 8.5MiB 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 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #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 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #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 x #s(literal -2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x

localize52.0ms (0.6%)

Memory

-11.0MiB live, 109.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.015625	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	26.822226935870166	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

19.0ms	49×	2	valid
11.0ms	64×	1	valid
9.0ms	143×	0	valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-exp: 13.0ms (45.8% of total)

ival-div: 6.0ms (21.1% of total)

adjust: 2.0ms (7% of total)

ival-add: 2.0ms (7% of total)

ival-mult: 2.0ms (7% of total)

ival-sub: 2.0ms (7% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB 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
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))))
0.0ms	x	@	-inf	(/ 2 (+ 1 (exp (* -2 x))))

simplify205.0ms (2.4%)

Memory

7.7MiB live, 242.9MiB 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))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))

rewrite163.0ms (1.9%)

Memory

-27.5MiB live, 262.6MiB 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 (fma.f64 (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -6 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))) (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))))
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(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(fma.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)))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (.f64 x #s(literal -1 binary64))) (exp.f64 (.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) #s(literal 1 binary64)) (exp.f64 (.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -4 binary64) x)))) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(fma.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)) #s(literal 1 binary64))
(fma.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)))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 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)))))
(.f64 (exp.f64 (.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x #s(literal -1 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 #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 x #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1 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 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -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 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) #s(literal 1/2 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 #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 (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 x #s(literal 1 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)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 (*.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)))
(exp.f64 (.f64 (.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 #s(literal -4 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 -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 x #s(literal -2 binary64)))

eval42.0ms (0.5%)

Memory: -8.0MiB live, 109.2MiB allocated
Compiler: Compiled 7 814 to 986 computations (87.4% saved)

prune75.0ms (0.9%)

Memory

2.8MiB live, 121.7MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	321	8	329
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	321	9	330

Accuracy

100.0%

Counts

330 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	57.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	30.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) 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 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	29.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	7.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	48.4%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
▶	46.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))

Compiler

Compiled 226 to 142 computations (37.2% saved)

simplify214.0ms (2.5%)

Memory

25.8MiB live, 225.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
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 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
cost-diff	19712	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))

Rules

14 444×	`lower-fma.f32`
14 430×	`lower-fma.f64`
2 732×	`lower-*.f32`
2 724×	`lower-*.f64`
2 472×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	267
0	63	257
1	107	257
2	146	255
3	232	253
4	392	253
5	506	253
6	668	253
7	955	253
8	2410	253
9	3580	253
10	4927	253
11	5641	253
12	5996	253
13	7021	253
14	7387	253
15	7926	253
0	8095	249

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (2.4%)

Memory

-5.9MiB live, 363.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
accuracy	0.19140625	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	21.695755859304125	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	26.822226935870166	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
accuracy	23.527202118232257	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	26.822226935870166	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0390625	(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
accuracy	0.10546875	(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
accuracy	34.03783553475091	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
accuracy	26.822226935870166	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	31.25936490262033	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	0	(exp.f64 (*.f64 x #s(literal -2 binary64)))
accuracy	0.00390625	(pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
accuracy	0.015625	(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
accuracy	27.212371874009733	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))

Samples

84.0ms	49×	2	valid
46.0ms	64×	1	valid
41.0ms	143×	0	valid

Compiler

Compiled 211 to 38 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-pow: 60.0ms (41.7% of total)

ival-exp: 24.0ms (16.7% of total)

ival-mult: 21.0ms (14.6% of total)

ival-add: 14.0ms (9.7% of total)

adjust: 13.0ms (9% of total)

const: 7.0ms (4.9% of total)

ival-div: 3.0ms (2.1% of total)

ival-sub: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series22.0ms (0.3%)

Memory

3.4MiB live, 42.2MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #<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 #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 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 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) 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 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 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 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) 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 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 x #s(literal -2 binary64))) (patch (exp.f64 (.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) #<representation binary64>) () ())

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

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1)
2.0ms	x	@	0	(* (+ (* (* x x) -1/3) 1) x)
1.0ms	x	@	0	(+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1)
1.0ms	x	@	inf	(pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)
1.0ms	x	@	-inf	(pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)

simplify176.0ms (2%)

Memory

-11.7MiB live, 262.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 646×	`lower-fma.f64`
18 646×	`lower-fma.f32`
4 706×	`lower-+.f64`
4 706×	`lower-+.f32`
3 032×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	2768
1	463	2084
2	1455	1986
3	3579	1982
0	8322	1866

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 259

Calls

Call 1

Inputs
(- (* 1/2 (pow (sqrt 2) 2)) 1)
(- (+ (* 1/2 (* x (pow (sqrt 2) 2))) (* 1/2 (pow (sqrt 2) 2))) 1)
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (+ (* -1/3 (pow (sqrt 2) 2)) (pow (sqrt 2) 2))))) (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* -5/48 x) 1/8)))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 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))))
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)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(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))))
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))))
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 (- (* x (+ 2 (* -4/3 x))) 2)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) 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))
-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)))
2
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))

Outputs
(- (* 1/2 (pow (sqrt 2) 2)) 1)
#s(literal 0 binary64)
(- (+ (* 1/2 (* x (pow (sqrt 2) 2))) (* 1/2 (pow (sqrt 2) 2))) 1)
x
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
x
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (+ (* -1/3 (pow (sqrt 2) 2)) (pow (sqrt 2) 2))))) (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
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(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
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(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x)
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x)
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #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 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -4/3 (pow x 3))
(.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) x) x)
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) x) (*.f64 x x))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (.f64 (*.f64 x x) x))
(* -4/3 (pow x 3))
(.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(.f64 (.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) x) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) x) (*.f64 x x))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (.f64 (*.f64 x x) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
-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))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* x (- 2 (* 2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* x (- 2 (* 2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
2
#s(literal 2 binary64)
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x)
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(* -4/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) x) x)
(* -4/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) x) x)

rewrite187.0ms (2.2%)

Memory

3.0MiB live, 320.7MiB allocated

Rules

5 044×	`lower-*.f32`
5 036×	`lower-*.f64`
3 720×	`lower-/.f32`
3 716×	`lower-/.f64`
3 118×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	245
0	63	235
1	289	233
2	2114	233
0	8461	229

Stop Event

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

Counts

22 → 480

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (/.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))))
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(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64))))))
(/.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64)) (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -4 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -4 binary64)) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -8 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -8 binary64))))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 x (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))

eval124.0ms (1.4%)

Memory: 10.1MiB live, 279.2MiB allocated
Compiler: Compiled 22 569 to 2 009 computations (91.1% saved)

prune169.0ms (1.9%)

Memory

14.3MiB live, 294.7MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	900	6	906
Fresh	2	1	3
Picked	4	1	5
Done	0	1	1
Total	906	9	915

Accuracy

100.0%

Counts

915 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
✓	57.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	29.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	26.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))
▶	27.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
▶	7.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
	48.4%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓	46.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
▶	48.9%	#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

Compiler

Compiled 213 to 145 computations (31.9% saved)

simplify244.0ms (2.8%)

Memory

4.8MiB live, 200.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #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 (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)
cost-diff	0	(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))

Rules

14 188×	`lower-fma.f32`
14 184×	`lower-fma.f64`
2 680×	`lower-*.f32`
2 668×	`lower-*.f64`
2 444×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	394
0	81	383
1	128	383
2	149	381
3	189	381
4	227	381
5	290	381
6	458	381
7	744	381
8	2239	381
9	3416	381
10	4804	381
11	5558	381
12	5963	381
13	7000	381
14	7367	381
15	7912	381
0	8081	358

Stop Event

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

Calls

Call 1

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

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

localize247.0ms (2.8%)

Memory

-28.5MiB live, 488.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64)))))
accuracy	23.527202118232257	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))
accuracy	26.822226935870166	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
accuracy	29.107395933627384	#s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64)))
accuracy	0.04296875	(fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64))
accuracy	21.695755859304125	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	26.822226935870166	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	33.697421943171015	#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64))
accuracy	0	(-.f64 x #s(literal -1 binary64))
accuracy	26.822226935870166	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy	33.069312597447144	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
accuracy	32.725571966658386	#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)
accuracy	0.015625	(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
accuracy	0.4453125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	27.212371874009733	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))

Samples

87.0ms	49×	2	valid
60.0ms	64×	1	valid
49.0ms	143×	0	valid

Compiler

Compiled 259 to 41 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-pow: 54.0ms (33.2% of total)

ival-mult: 29.0ms (17.8% of total)

ival-exp: 24.0ms (14.8% of total)

adjust: 19.0ms (11.7% of total)

ival-add: 17.0ms (10.5% of total)

ival-div: 6.0ms (3.7% of total)

ival-sqrt: 5.0ms (3.1% of total)

const: 5.0ms (3.1% of total)

ival-sub: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series12.0ms (0.1%)

Memory

32.6MiB live, 32.6MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)) (patch (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (patch #s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) #<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))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 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 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) 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(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x 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) -2) x) 2) (.f64 (.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))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64)))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 2 (* -4/3 x))) 2) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 2 (* -4/3 x))) 2) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4/3 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4/3 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())

Calls

60 calls:

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

simplify188.0ms (2.2%)

Memory

-11.7MiB live, 331.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 592×	`lower-fma.f64`
19 592×	`lower-fma.f32`
4 640×	`lower-+.f64`
4 640×	`lower-+.f32`
3 778×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	2466
1	556	2021
2	1689	1973
3	4062	1962
0	8433	1864

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

Inputs
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(- (* 1/2 (pow (sqrt 2) 2)) 1)
(- (+ (* 1/2 (* x (pow (sqrt 2) 2))) (* 1/2 (pow (sqrt 2) 2))) 1)
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (+ (* -1/3 (pow (sqrt 2) 2)) (pow (sqrt 2) 2))))) (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* -5/48 x) 1/8)))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 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)))
(- (* 1/2 (pow (sqrt 2) 2)) 1)
(- (+ (* 1/2 (* x (pow (sqrt 2) 2))) (* 1/2 (pow (sqrt 2) 2))) 1)
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (+ (* -1/3 (pow (sqrt 2) 2)) (pow (sqrt 2) 2))))) (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
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 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) 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)))
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))))
(* (sqrt 1/2) (sqrt 2))
(+ (* 1/4 (/ (* x (sqrt 2)) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* x (+ (* -1/32 (/ (* x (sqrt 2)) (pow (sqrt 1/2) 3))) (* 1/4 (/ (sqrt 2) (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(+ (* x (+ (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (* x (+ (* -1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3))) (* 1/2 (/ (* x (* (sqrt 2) (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6))) (sqrt 1/2))))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
1/2
(+ 1/2 (* 1/2 x))
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 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 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(- (* 1/2 (pow (sqrt 2) 2)) 1)
#s(literal 0 binary64)
(- (+ (* 1/2 (* x (pow (sqrt 2) 2))) (* 1/2 (pow (sqrt 2) 2))) 1)
x
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
x
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (+ (* -1/3 (pow (sqrt 2) 2)) (pow (sqrt 2) 2))))) (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* -5/48 x) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/48 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(- (* 1/2 (pow (sqrt 2) 2)) 1)
#s(literal 0 binary64)
(- (+ (* 1/2 (* x (pow (sqrt 2) 2))) (* 1/2 (pow (sqrt 2) 2))) 1)
x
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
x
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (+ (* -1/3 (pow (sqrt 2) 2)) (pow (sqrt 2) 2))))) (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #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 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #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 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -4/3 (pow x 3))
(.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) (*.f64 x x))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (.f64 (*.f64 x x) x))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (.f64 (*.f64 x x) x))
(* -4/3 (pow x 3))
(.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) (*.f64 x x))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (.f64 (*.f64 x x) x))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (.f64 (*.f64 x x) x))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #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 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x)
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x)
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x)
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (/ (* x (sqrt 2)) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* x (+ (* -1/32 (/ (* x (sqrt 2)) (pow (sqrt 1/2) 3))) (* 1/4 (/ (sqrt 2) (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* x (+ (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (* x (+ (* -1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3))) (* 1/2 (/ (* x (* (sqrt 2) (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6))) (sqrt 1/2))))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(* -4/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (.f64 x x))

rewrite220.0ms (2.5%)

Memory

16.7MiB live, 388.8MiB allocated

Rules

4 812×	`lower-*.f32`
4 800×	`lower-*.f64`
4 520×	`lower-fma.f32`
4 516×	`lower-fma.f64`
4 184×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	320
0	81	306
1	334	302
2	2106	298
0	9447	278

Stop Event

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

Counts

20 → 575

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (log.f64 #s(literal 1/2 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))) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(pow.f64 (pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -2 binary64))
(pow.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64))))) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(/.f64 (.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))) (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal -4 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 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)))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (expm1.f64 (.f64 x #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 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 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 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 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 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (/.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 (/.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)))
(exp.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (sqrt.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 (pow.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.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 2 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 (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64)))) (+.f64 (pow.f64 (.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.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 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 x #s(literal -4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 #s(literal 1 binary64) (/.f64 (-.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 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 x #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(fma.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (exp.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (.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) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (/.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 (exp.f64 (.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 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 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.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))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64))

eval116.0ms (1.3%)

Memory: -7.2MiB live, 226.1MiB allocated
Compiler: Compiled 21 670 to 2 046 computations (90.6% saved)

prune181.0ms (2.1%)

Memory

-21.2MiB live, 306.6MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	802	8	810
Fresh	0	2	2
Picked	1	4	5
Done	0	2	2
Total	803	16	819

Accuracy

100.0%

Counts

819 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64))
	5.7%	(/.f64 (-.f64 (.f64 (.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #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 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (+.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))))
	6.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
✓	57.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	29.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	26.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))
✓	27.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
▶	6.8%	(-.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))
	5.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal 1 binary64))
▶	5.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
▶	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
✓	7.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
	48.4%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓	46.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
✓	48.9%	#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

Compiler

Compiled 510 to 245 computations (52% saved)

simplify152.0ms (1.8%)

Memory

12.6MiB live, 207.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff	192	(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff	128	(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
cost-diff	1984	(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(-.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))
cost-diff	1088	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
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	(sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64))

Rules

12 172×	`lower-fma.f32`
12 162×	`lower-fma.f64`
2 448×	`lower--.f32`
2 438×	`lower--.f64`
2 260×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	454
0	84	439
1	139	418
2	205	394
3	328	382
4	542	382
5	1052	382
6	3015	382
7	7961	382
0	8148	368

Stop Event

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

Calls

Call 1

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

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

localize263.0ms (3%)

Memory

-14.3MiB live, 465.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
accuracy	24.532486242821225	(/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))
accuracy	26.818320685870166	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy	32.859941467179176	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy	18.4781756041783	(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
accuracy	26.818320685870166	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy	32.859941467179176	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
accuracy	0.23046875	(.f64 (.f64 x x) #s(literal -4/3 binary64))
accuracy	21.449634398073698	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))
accuracy	26.818320685870166	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))
accuracy	29.16831551936727	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	18.4742693541783	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	26.818320685870166	(-.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))
accuracy	32.859941467179176	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	0.015625	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.015625	(sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
accuracy	27.212371874009733	(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64))

Samples

84.0ms	49×	2	valid
66.0ms	142×	0	valid
54.0ms	64×	1	valid
1.0ms	1×	5	exit

Compiler

Compiled 295 to 46 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-pow: 51.0ms (31.8% of total)

ival-exp: 25.0ms (15.6% of total)

ival-mult: 22.0ms (13.7% of total)

ival-div: 17.0ms (10.6% of total)

ival-add: 17.0ms (10.6% of total)

adjust: 15.0ms (9.3% of total)

ival-sub: 5.0ms (3.1% of total)

const: 4.0ms (2.5% of total)

ival-sqrt: 4.0ms (2.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series19.0ms (0.2%)

Memory

39.6MiB live, 39.6MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (patch (sqrt.f64 (/.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 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 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (.f64 x x) #s(literal -4/3 binary64)) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (.f64 x x) #s(literal -4/3 binary64)) x))) (patch #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (.f64 x x) #s(literal -4/3 binary64)) x)) (patch #s(approx (+ ( (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (.f64 x x) x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (.f64 x x) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) 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 x x) #s(literal -4/3 binary64)) (patch (.f64 (.f64 x x) #s(literal -4/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) #<representation binary64>) () ())

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (* x x) (- x 1))
0.0ms	x	@	-inf	(- (/ (* x x) (- x 1)) (/ 1 (- x 1)))
0.0ms	x	@	inf	(- (/ (* x x) (- x 1)) (/ 1 (- x 1)))
0.0ms	x	@	0	(/ 1 (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)))
0.0ms	x	@	inf	(/ 1 (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)))

simplify145.0ms (1.7%)

Memory

-5.2MiB live, 232.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 078×	`lower-fma.f64`
9 078×	`lower-fma.f32`
4 288×	`lower-*.f64`
4 288×	`lower-*.f32`
2 010×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	2667
1	598	2123
2	1863	2034
3	5267	2020
0	8509	1938

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 274

Calls

Call 1

Inputs
(- (* 1/2 (pow (sqrt 2) 2)) 1)
(- (+ (* 1/2 (* x (pow (sqrt 2) 2))) (* 1/2 (pow (sqrt 2) 2))) 1)
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (+ (* -1/3 (pow (sqrt 2) 2)) (pow (sqrt 2) 2))))) (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(* (sqrt 1/2) (sqrt 2))
(+ (* 1/4 (/ (* x (sqrt 2)) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* x (+ (* -1/32 (/ (* x (sqrt 2)) (pow (sqrt 1/2) 3))) (* 1/4 (/ (sqrt 2) (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(+ (* x (+ (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (* x (+ (* -1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3))) (* 1/2 (/ (* x (* (sqrt 2) (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6))) (sqrt 1/2))))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
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 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))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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 (- (* x (+ 2 (* -4/3 x))) 2)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
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)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* 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))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
(* -4/3 (pow x 2))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))

Outputs
(- (* 1/2 (pow (sqrt 2) 2)) 1)
#s(literal 0 binary64)
(- (+ (* 1/2 (* x (pow (sqrt 2) 2))) (* 1/2 (pow (sqrt 2) 2))) 1)
x
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
x
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (pow (sqrt 2) 2)) (+ (* -1/3 (pow (sqrt 2) 2)) (pow (sqrt 2) 2))))) (+ (* -1/2 (pow (sqrt 2) 2)) (* 1/2 (pow (sqrt 2) 2))))) (* -1/2 (pow (sqrt 2) 2))))) 1)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (/ (pow (sqrt 2) 2) (+ 1 (exp (* -2 x)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (/ (* x (sqrt 2)) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* x (+ (* -1/32 (/ (* x (sqrt 2)) (pow (sqrt 1/2) 3))) (* 1/4 (/ (sqrt 2) (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* x (+ (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (* x (+ (* -1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3))) (* 1/2 (/ (* x (* (sqrt 2) (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6))) (sqrt 1/2))))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/6 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) x (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #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 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #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 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #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 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -4/3 (pow x 3))
(.f64 (.f64 #s(literal -4/3 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) (*.f64 x x))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (.f64 (*.f64 x x) x))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64))) (.f64 (.f64 x x) x))
(* -4/3 (pow x 3))
(.f64 (.f64 #s(literal -4/3 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) (*.f64 x x))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (.f64 (*.f64 x x) x))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) x) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 x) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(.f64 (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x #s(literal -1 binary64)) x) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(+.f64 (+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(+.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) x) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #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 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #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 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)

rewrite197.0ms (2.3%)

Memory

-20.1MiB live, 294.9MiB allocated

Rules

4 692×	`lower-*.f32`
4 684×	`lower-*.f64`
3 770×	`lower-/.f32`
3 756×	`lower-/.f64`
3 722×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	378
0	84	338
1	379	276
2	3047	275
0	9031	263

Stop Event

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

Counts

24 → 966

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (pow.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))) (+.f64 (pow.f64 (.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))) (+.f64 (pow.f64 (.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(+.f64 (.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64))))) (sqrt.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
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(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
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(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))

eval373.0ms (4.3%)

Memory: -179.6MiB live, 452.6MiB allocated
Compiler: Compiled 37 081 to 2 701 computations (92.7% saved)

prune248.0ms (2.9%)

Memory

35.2MiB live, 460.8MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 482	17	1 499
Fresh	4	1	5
Picked	3	2	5
Done	2	4	6
Total	1 491	24	1 515

Accuracy

100.0%

Counts

1 515 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.5%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64))
✓	57.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	26.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))
	5.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x 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 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64))
	9.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x 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 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
	5.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
	5.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
	29.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
	5.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
	4.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(approx (+ (* -1 x) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
	5.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
	30.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
	4.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	4.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(approx (/ (* x x) (- x 1)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
✓	7.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
	7.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))))) #s(literal 1 binary64))
	48.4%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓	46.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
✓	48.9%	#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

Compiler

Compiled 1 077 to 382 computations (64.5% saved)

regimes141.0ms (1.6%)

Memory

-12.6MiB live, 185.2MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) 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)))) (+.f64 #s(literal 1 binary64) 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)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #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 #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 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(approx (/ (* x x) (- x 1)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #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))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #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) (/.f64 (fma.f64 x x #s(approx (+ (* -1 x) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) #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 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #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 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (+.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 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))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) #s(approx (pow ( 1/2 (+ (exp (* x -2)) 1)) -1/2) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(approx (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #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))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))

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

Calls

7 calls:

46.0ms	x
34.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
13.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
12.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
11.0ms	y

Results

Accuracy	Segments	Branch
100.0%	3	`x`
64.0%	4	`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)

regimes68.0ms (0.8%)

Memory

-5.7MiB live, 128.5MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) 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)))) (+.f64 #s(literal 1 binary64) 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)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #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 #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 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(approx (/ (* x x) (- x 1)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #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))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #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) (/.f64 (fma.f64 x x #s(approx (+ (* -1 x) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) #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 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #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 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (+.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal 1 binary64))

Outputs

#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

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

Calls

6 calls:

15.0ms	(*.f64 #s(literal -2 binary64) x)
12.0ms	(+.f64 #s(literal 1 binary64) (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))
10.0ms	x
9.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
73.4%	2	`x`
73.4%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
73.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
73.4%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
73.4%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
73.4%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes34.0ms (0.4%)

Memory

4.5MiB live, 85.7MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) 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)))) (+.f64 #s(literal 1 binary64) 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)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #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 #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 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(approx (/ (* x x) (- x 1)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #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))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))

Outputs

#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.4%	2	`x`
73.4%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
73.4%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
73.4%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
73.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
73.4%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes31.0ms (0.4%)

Memory

1.1MiB live, 78.9MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) 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)))) (+.f64 #s(literal 1 binary64) 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)))) 1) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #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 #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 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(approx (/ (* x x) (- x 1)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #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))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))

Outputs

#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.3%	2	`x`
73.3%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
73.3%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
73.3%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
73.3%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
73.3%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes24.0ms (0.3%)

Memory

-27.7MiB live, 54.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.0%	2	`x`
73.0%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
73.0%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
73.0%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
73.0%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
73.0%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes17.0ms (0.2%)

Memory

6.5MiB live, 45.4MiB allocated

Accuracy

Total -29.4b remaining (-89.9%)

Threshold costs -29.4b (-89.9%)

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
48.9%	1	`y`
48.9%	1	`x`
48.9%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
48.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
48.9%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
48.9%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
48.9%	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	5.390584644054938e-5	15175167.30222187
0.0ms	-30.939272376238325	-0.0033308263828605795

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.625797616442786e-7	5.390584644054938e-5

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	5.390584644054938e-5	15175167.30222187

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	5.390584644054938e-5	15175167.30222187

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.390584644054938e-5	15175167.30222187

Compiler

Compiled 15 to 15 computations (0% saved)

simplify9.0ms (0.1%)

Memory

-17.1MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`*-commutative_binary64`
2×	`mul-1-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	339
1	96	339
2	104	339
3	111	339

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(literal -4/3 binary64) (*.f64 x x)) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) x)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(literal -4/3 binary64) (*.f64 x x)) x)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) (+ (* -1 x) 1)) (+ (* (* x x) x) 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ ( (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (* (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2) (pow (* 1/2 (+ (exp (* x -2)) 1)) -1/2)) -1) x)

soundness1.3s (15.4%)

Memory

47.6MiB live, 872.0MiB allocated

Rules

18 646×	`lower-fma.f64`
18 646×	`lower-fma.f32`
15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
9 078×	`lower-fma.f64`

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
0	214	2667
1	598	2123
2	1863	2034
3	5267	2020
0	8509	1938
0	171	2768
1	463	2084
2	1455	1986
3	3579	1982
0	8322	1866
0	56	320
0	81	306
1	334	302
2	2106	298
0	9447	278
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 328 to 192 computations (41.5% saved)

preprocess107.0ms (1.2%)

Memory: -33.2MiB live, 215.0MiB allocated
Remove: (abs y)
Compiler: Compiled 394 to 164 computations (58.4% 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%)

sample2.5s (28.4%)

explain167.0ms (1.9%)

preprocess30.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize52.0ms (0.6%)

series5.0ms (0.1%)

simplify205.0ms (2.4%)

rewrite163.0ms (1.9%)

eval42.0ms (0.5%)

prune75.0ms (0.9%)

simplify214.0ms (2.5%)

localize211.0ms (2.4%)

series22.0ms (0.3%)

simplify176.0ms (2%)

rewrite187.0ms (2.2%)

eval124.0ms (1.4%)

prune169.0ms (1.9%)

simplify244.0ms (2.8%)

localize247.0ms (2.8%)

series12.0ms (0.1%)

simplify188.0ms (2.2%)

rewrite220.0ms (2.5%)

eval116.0ms (1.3%)

prune181.0ms (2.1%)

simplify152.0ms (1.8%)

localize263.0ms (3%)

series19.0ms (0.2%)

simplify145.0ms (1.7%)

rewrite197.0ms (2.3%)

eval373.0ms (4.3%)

prune248.0ms (2.9%)

regimes141.0ms (1.6%)

regimes68.0ms (0.8%)

regimes34.0ms (0.4%)

regimes31.0ms (0.4%)

regimes24.0ms (0.3%)

regimes17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.3s (15.4%)

preprocess107.0ms (1.2%)

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