Metrics for Logistic distribution

analyze59.0ms (0.4%)

Memory

-15.7MiB live, 71.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	24.7%	75.3%	0%	0%	0%	0
0%	0%	24.7%	75.3%	0%	0%	0%	1
0%	0%	24.7%	75.3%	0%	0%	0%	2
0%	0%	24.7%	75.3%	0%	0%	0%	3
0%	0%	24.7%	75.3%	0%	0%	0%	4
50%	12.4%	12.4%	75.3%	0%	0%	0%	5
50%	12.4%	12.4%	75.3%	0%	0%	0%	6
75%	18.5%	6.2%	75.3%	0%	0%	0%	7
75%	18.5%	6.2%	75.3%	0%	0%	0%	8
87.5%	21.6%	3.1%	75.3%	0%	0%	0%	9
87.5%	21.6%	3.1%	75.3%	0%	0%	0%	10
93.7%	23.2%	1.5%	75.3%	0%	0%	0%	11
93.7%	23.2%	1.5%	75.3%	0%	0%	0%	12

Compiler

Compiled 34 to 17 computations (50% saved)

sample1.8s (13.7%)

Memory

20.5MiB live, 2 515.2MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-div: 217.0ms (20.5% of total)

ival-mult: 201.0ms (18.9% of total)

const: 163.0ms (15.4% of total)

ival-exp: 158.0ms (14.9% of total)

ival-add: 147.0ms (13.9% of total)

ival-fabs: 75.0ms (7.1% of total)

ival-<=: 45.0ms (4.2% of total)

ival-neg: 30.0ms (2.8% of total)

ival-and: 12.0ms (1.1% of total)

exact: 10.0ms (0.9% of total)

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

Bogosity

preprocess367.0ms (2.8%)

Memory

29.2MiB live, 542.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 930×	`accelerator-lowering-fma.f32`
10 930×	`accelerator-lowering-fma.f64`
3 522×	`-lowering-.f32`
3 522×	`-lowering-.f64`
1 474×	`/-lowering-/.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	31	140
1	123	128
2	442	123
3	1364	121
4	3823	121
5	6461	121
0	11	26
1	37	26
2	106	25
3	220	25
4	372	25
5	663	19
6	1239	18
7	2497	18
8	4629	18
0	8183	18

Stop Event

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

Calls

Call 1

Inputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))

Outputs

(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))

(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))

Symmetry

(abs x)

explain135.0ms (1%)

Memory

-37.1MiB live, 248.3MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))`
0	-	-	`#s(literal 1 binary32)`
1	(3.539701897477959e-14 2.578475494049477e-16)	-	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
2	(3.539701897477959e-14 2.578475494049477e-16)	-	`(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))`
0	-	-	`s`
0	-	-	`(neg.f32 (fabs.f32 x))`
0	-	-	`(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))`
0	-	-	`(/.f32 (neg.f32 (fabs.f32 x)) s)`
0	-	-	`(.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))`
0	-	-	`x`
0	-	-	`(fabs.f32 x)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))`	sensitivity	2	0
`/.f32`	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`	u/n	1	0
↳	`(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))`	underflow	184

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	0	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	1
2	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

39.0ms

512×

valid

Compiler

Compiled 224 to 48 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 7.0ms (28.4% of total)

ival-exp: 5.0ms (20.3% of total)

ival-mult: 5.0ms (20.3% of total)

ival-fabs: 3.0ms (12.2% of total)

ival-add: 2.0ms (8.1% of total)

ival-neg: 2.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Status

Accuracy

Program

▶

99.7%

(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Compiler

Compiled 28 to 11 computations (60.7% saved)

simplify282.0ms (2.1%)

Memory

35.8MiB live, 422.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (neg.f32 (fabs.f32 x)) s)
✓	cost-diff	0	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓	cost-diff	64	(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	cost-diff	3840	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Rules

10 930×	`accelerator-lowering-fma.f32`
10 930×	`accelerator-lowering-fma.f64`
3 522×	`-lowering-.f32`
3 522×	`-lowering-.f64`
1 474×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	37	82
2	106	79
3	220	79
4	372	79
5	663	73
6	1239	72
7	2497	72
8	4629	72
0	8183	71

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(exp (/ (neg (fabs x)) s))
(/ (neg (fabs x)) s)
(neg (fabs x))
(fabs x)
x
s
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(+ 1 (exp (/ (neg (fabs x)) s)))
1

Outputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(exp (/ (neg (fabs x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/ (neg (fabs x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(neg (fabs x))
(neg.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
s
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
(fma.f32 s (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(+ 1 (exp (/ (neg (fabs x)) s)))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
1
#s(literal 1 binary32)

localize42.0ms (0.3%)

Memory

-35.7MiB live, 68.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	accuracy	99.9%	(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	accuracy	99.9%	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
✓	accuracy	99.9%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Samples

28.0ms

256×

valid

Compiler

Compiled 84 to 13 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-fabs: 10.0ms (47.1% of total)

ival-div: 3.0ms (14.1% of total)

ival-mult: 3.0ms (14.1% of total)

ival-exp: 2.0ms (9.4% of total)

ival-add: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-1.3MiB live, 35.8MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))>
#<alt (* s (+ 1 (exp (/ (neg (fabs x)) s))))>
#<alt (exp (/ (neg (fabs x)) s))>
#<alt (/ (neg (fabs x)) s)>
#<alt (+ 1 (exp (/ (neg (fabs x)) s)))>
#<alt (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))>

Outputs
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* 2 s)>
#<alt (* s (+ 2 (* -1 (/ (fabs x) s))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))>
#<alt (* 2 s)>
#<alt (* -1 (* s (- (/ (fabs x) s) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* 4 s)>
#<alt (* s (+ 4 (* -4 (/ (fabs x) s))))>
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))>
#<alt (* 4 s)>
#<alt (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	s	@	-inf	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
3.0ms	x	@	-inf	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms	x	@	inf	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms	s	@	inf	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms	x	@	0	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))

rewrite336.0ms (2.6%)

Memory

12.7MiB live, 607.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 988×	`-lowering-.f32`
4 988×	`-lowering-.f64`
3 732×	`accelerator-lowering-fma.f32`
3 732×	`accelerator-lowering-fma.f64`
2 684×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	74
1	66	60
2	465	59
3	5272	58
0	8217	58

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 607

Calls

Call 1

Inputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(exp (/ (neg (fabs x)) s))
(/ (neg (fabs x)) s)
(+ 1 (exp (/ (neg (fabs x)) s)))
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))

Outputs
(neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))
(+.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32)) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(+.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) #s(literal 1 binary32)) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))) (.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))))
(+.f32 (.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))) (.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))) (.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))))
(fma.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(-.f32 #s(literal 0 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal -1 binary32) (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))) (neg.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
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(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32) (+.f32 s (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))))
(fma.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32) (fma.f32 s (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(fma.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 1 binary32) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (fma.f32 (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) (.f32 s (.f32 s s)) (.f32 s (.f32 s s))) (/.f32 #s(literal 1 binary32) (fma.f32 s s (.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)))) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (-.f32 (.f32 s s) (.f32 (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) (.f32 s s))) (/.f32 #s(literal 1 binary32) (-.f32 s (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) s (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (/.f32 (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)))) (fma.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (/.f32 (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (/.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (/.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (/.f32 (pow.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 2 binary32)) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32))) (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))))
(/.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(/.f32 (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32))) (fma.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) (*.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32))) (.f32 #s(literal 1 binary32) (fma.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)))))
(/.f32 (.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (.f32 #s(literal 1 binary32) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)) (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (fma.f32 s s (.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)))))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (.f32 s s) (.f32 (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) (.f32 s s)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (.f32 (fma.f32 (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) (.f32 s (.f32 s s)) (.f32 s (.f32 s s))) #s(literal 1 binary32)) (.f32 (fma.f32 s s (.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 (.f32 s s) (.f32 (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) (.f32 s s))) #s(literal 1 binary32)) (.f32 (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
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(/.f32 (.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal -1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (.f32 (.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (expm1.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) (neg.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (neg.f32 (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (+.f32 #s(literal -1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (-.f32 (pow.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 2 binary32)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32))) (-.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 (.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) #s(literal 2 binary32))) (pow.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (.f32 s (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (.f32 s (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(/.f32 (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (fma.f32 s s (.f32 (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s))))
(/.f32 (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (-.f32 (.f32 s s) (.f32 (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) (.f32 s s)))) (-.f32 s (.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))))) (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (+.f32 #s(literal -1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (expm1.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) #s(literal 2 binary32)) s) (pow.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) s) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) #s(literal 2 binary32)) s) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 s (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.f32 s (neg.f32 (neg.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(.f32 #s(literal 1 binary32) (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (neg.f32 (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))))
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (/.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 1 binary32)))
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 (neg.f32 s) (neg.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (/.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(.f32 #s(literal -1 binary32) (neg.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(*.f32 (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (neg.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(*.f32 (neg.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(.f32 (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)))))
(.f32 (.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(.f32 (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (neg.f32 (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)))) (fma.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)) (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(.f32 (/.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))

simplify611.0ms (4.6%)

Memory

5.0MiB live, 1 353.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26 522×	`accelerator-lowering-fma.f32`
26 522×	`accelerator-lowering-fma.f64`
5 264×	`+-lowering-+.f64`
5 264×	`+-lowering-+.f32`
5 254×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	2020
1	701	1883
2	2302	1718
0	9060	1661

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(* 2 s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* 4 s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))

Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/.f32 (+.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s (neg.f32 s)))) (/.f32 (.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal -5/48 binary32)) (.f32 s (.f32 s s)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/.f32 (-.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s s))) (fma.f32 #s(literal 1/96 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) (pow.f32 s #s(literal 4 binary32))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 s s)) #s(literal 1/4 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 1/16 binary32) (.f32 (.f32 x x) #s(literal -1/16 binary32)))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s)))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) (pow.f32 s #s(literal 4 binary32))) (fma.f32 (/.f32 #s(literal 1/16 binary32) (.f32 s s)) (fma.f32 (.f32 x x) #s(literal 3 binary32) (.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) #s(literal -5/3 binary32))) (/.f32 (.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) (.f32 (*.f32 x x) #s(literal -1/16 binary32))) (pow.f32 s #s(literal 4 binary32))))))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(neg.f32 (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
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(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))

eval123.0ms (0.9%)

Memory: 4.9MiB live, 354.7MiB allocated
Compiler: Compiled 45 277 to 3 372 computations (92.6% saved)

prune204.0ms (1.6%)

Memory

-26.4MiB live, 443.0MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	1 258	13	1 271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 259	13	1 272

Accuracy

100.0%

Counts

1 272 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.4%	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))))) (neg.f32 s))
▶	28.3%	(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	24.5%	(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
▶	99.9%	(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
	32.8%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (fma.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	74.3%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s)) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	98.0%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	96.5%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)))
	96.2%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
▶	29.5%	(/.f32 #s(literal 1/4 binary32) s)
	99.4%	(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)))
▶	99.8%	(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	97.8%	(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))

Compiler

Compiled 730 to 378 computations (48.2% saved)

simplify727.0ms (5.5%)

Memory

22.5MiB live, 1 056.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
✓	cost-diff	0	(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
✓	cost-diff	0	(/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s)
✓	cost-diff	64	(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	cost-diff	0	(/.f32 (fabs.f32 x) s)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
✓	cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
✓	cost-diff	64	(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	cost-diff	64	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))))) (neg.f32 s))
✓	cost-diff	96	(+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (*.f32 s s))) #s(literal 1/4 binary32))))
✓	cost-diff	1248	(fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))
✓	cost-diff	2528	(-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))))
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) s)
✓	cost-diff	0	(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
✓	cost-diff	0	(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
✓	cost-diff	0	(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	cost-diff	64	(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)

Rules

26 624×	`accelerator-lowering-fma.f32`
26 624×	`accelerator-lowering-fma.f64`
4 040×	`-lowering-.f32`
4 040×	`-lowering-.f64`
1 838×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	506
1	150	503
2	515	479
3	2232	435
4	6632	395
0	8328	389

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) s)
(* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s))))
(pow (+ (exp (neg (/ (fabs x) s))) 1) -2)
(+ (exp (neg (/ (fabs x) s))) 1)
(exp (neg (/ (fabs x) s)))
(neg (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
1
-2
(/ 1/4 s)
1/4
s
(/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)))) (neg s))
(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))))
(/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))
(* (fabs x) (* (* x x) 1/24))
(fabs x)
x
(* (* x x) 1/24)
(* x x)
1/24
(* s (* s s))
s
(* s s)
(+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)))
(/ (* (* x x) -1/16) (* s s))
(* (* x x) -1/16)
-1/16
(+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))
5/48
(/ (* (fabs x) (* x x)) (* s (* s s)))
(* (fabs x) (* x x))
(+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)
(/ (* (* x x) -1/16) (* s (* s s)))
1/4
(neg s)
(/ (- 1 (/ (fabs x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(- 1 (/ (fabs x) s))
1
(/ (fabs x) s)
(fabs x)
x
s
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(+ 1 (exp (/ (neg (fabs x)) s)))
(exp (/ (neg (fabs x)) s))
(/ (neg (fabs x)) s)
(neg (fabs x))
(* (/ (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) s) (exp (neg (/ (fabs x) s))))
(/ (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) s)
(pow (+ (exp (neg (/ (fabs x) s))) 1) -2)
(+ (exp (neg (/ (fabs x) s))) 1)
(exp (neg (/ (fabs x) s)))
(neg (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
1
-2

Outputs
(/ (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) s)
(/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s))))
(*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)))
(pow (+ (exp (neg (/ (fabs x) s))) 1) -2)
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
(+ (exp (neg (/ (fabs x) s))) 1)
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
1
#s(literal 1 binary32)
-2
#s(literal -2 binary32)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
(/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)))) (neg s))
(/.f32 (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) #s(literal 1/4 binary32)) s)
(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))))
(fma.f32 x (.f32 #s(literal 1/16 binary32) (/.f32 x (.f32 s s))) #s(literal -1/4 binary32))
(/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))
(/.f32 (.f32 #s(literal 1/24 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s)))
(* (fabs x) (* (* x x) 1/24))
(.f32 #s(literal 1/24 binary32) (.f32 x (*.f32 x (fabs.f32 x))))
(fabs x)
(fabs.f32 x)
x
(* (* x x) 1/24)
(.f32 x (.f32 x #s(literal 1/24 binary32)))
(* x x)
(*.f32 x x)
1/24
#s(literal 1/24 binary32)
(* s (* s s))
(.f32 s (.f32 s s))
s
(* s s)
(*.f32 s s)
(+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)))
(fma.f32 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/16 binary32) s) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 5/48 binary32) #s(literal -1/16 binary32))) #s(literal 1/4 binary32))
(/ (* (* x x) -1/16) (* s s))
(.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (*.f32 s s))))
(* (* x x) -1/16)
(.f32 x (.f32 x #s(literal -1/16 binary32)))
-1/16
#s(literal -1/16 binary32)
(+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))
(fma.f32 (fabs.f32 x) (/.f32 (.f32 x (.f32 x #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))
5/48
#s(literal 5/48 binary32)
(/ (* (fabs x) (* x x)) (* s (* s s)))
(/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s)))
(* (fabs x) (* x x))
(.f32 x (.f32 x (fabs.f32 x)))
(+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)
(fma.f32 (fabs.f32 x) (/.f32 (.f32 x (.f32 x #s(literal -1/16 binary32))) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))
(/ (* (* x x) -1/16) (* s (* s s)))
(/.f32 (.f32 x (.f32 x #s(literal -1/16 binary32))) (.f32 s (.f32 s s)))
1/4
#s(literal 1/4 binary32)
(neg s)
(neg.f32 s)
(/ (- 1 (/ (fabs x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(- 1 (/ (fabs x) s))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
1
#s(literal 1 binary32)
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(+ 1 (exp (/ (neg (fabs x)) s)))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp (/ (neg (fabs x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/ (neg (fabs x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(neg (fabs x))
(neg.f32 (fabs.f32 x))
(* (/ (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) s) (exp (neg (/ (fabs x) s))))
(/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(/ (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) s)
(/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s)
(pow (+ (exp (neg (/ (fabs x) s))) 1) -2)
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
(+ (exp (neg (/ (fabs x) s))) 1)
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
1
#s(literal 1 binary32)
-2
#s(literal -2 binary32)

localize496.0ms (3.8%)

Memory

0.4MiB live, 509.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
✓	accuracy	99.9%	(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
✓	accuracy	99.9%	(/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s)
✓	accuracy	99.8%	(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
✓	accuracy	99.9%	(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	accuracy	99.9%	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
✓	accuracy	99.8%	(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
✓	accuracy	76.8%	(/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (*.f32 s s)))
✓	accuracy	66.3%	(+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (*.f32 s s))) #s(literal 1/4 binary32))))
✓	accuracy	59.0%	(fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))
✓	accuracy	48.2%	(-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))))
✓	accuracy	100.0%	(/.f32 #s(literal 1/4 binary32) s)
✓	accuracy	100.0%	(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
✓	accuracy	99.9%	(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
✓	accuracy	99.9%	(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
✓	accuracy	99.9%	(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))

Samples

198.0ms	130×	2	valid
59.0ms	95×	0	valid
17.0ms	31×	1	valid

Compiler

Compiled 529 to 48 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-div: 111.0ms (51.2% of total)

ival-mult: 34.0ms (15.7% of total)

const: 26.0ms (12% of total)

adjust: 15.0ms (6.9% of total)

ival-add: 9.0ms (4.2% of total)

ival-exp: 6.0ms (2.8% of total)

ival-neg: 5.0ms (2.3% of total)

ival-pow: 4.0ms (1.8% of total)

ival-sub: 3.0ms (1.4% of total)

ival-fabs: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series329.0ms (2.5%)

Memory

3.2MiB live, 131.6MiB allocated

Counts

17 → 396

Calls

Call 1

Inputs
#<alt (/ (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) s)>
#<alt (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s))))>
#<alt (pow (+ (exp (neg (/ (fabs x) s))) 1) -2)>
#<alt (+ (exp (neg (/ (fabs x) s))) 1)>
#<alt (/ 1/4 s)>
#<alt (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))))>
#<alt (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))>
#<alt (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)))>
#<alt (/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)))) (neg s))>
#<alt (* s (+ 1 (exp (/ (neg (fabs x)) s))))>
#<alt (/ (- 1 (/ (fabs x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))>
#<alt (- 1 (/ (fabs x) s))>
#<alt (/ (fabs x) s)>
#<alt (* (/ (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) s) (exp (neg (/ (fabs x) s))))>
#<alt (/ (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) s)>
#<alt (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))>
#<alt (+ 1 (exp (/ (neg (fabs x)) s)))>

Outputs
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))>
#<alt (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))))>
#<alt (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4)))))))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))>
#<alt (- (+ 1/4 (+ (* -1 (/ (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))>
#<alt (- (+ 1/4 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/96 (pow (fabs x) 4)) (+ (* 1/16 (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4))))) (+ (* 1/4 (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))))))) s)) (* 1/24 (pow (fabs x) 3))) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/4 (/ (fabs x) s)))>
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s)))>
#<alt (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/4 (/ (fabs x) s)))>
#<alt (+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s))) (* 1/4 (fabs x))) s)))>
#<alt (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (+ (* -1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt (+ 1 (exp (neg (/ (fabs x) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt -1/4>
#<alt (- (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) 1/4)>
#<alt (- (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) 1/4)>
#<alt (- (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) 1/4)>
#<alt (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))))>
#<alt (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))>
#<alt (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))>
#<alt (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))>
#<alt (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))))>
#<alt (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))>
#<alt (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))>
#<alt (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))>
#<alt (/ (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))>
#<alt (/ (- (+ (* 1/24 (* (pow x 2) (fabs x))) (* 1/16 (* s (pow x 2)))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))>
#<alt (/ (- (+ (* 1/24 (* (pow x 2) (fabs x))) (* s (- (* -1/4 (pow s 2)) (* -1/16 (pow x 2))))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))>
#<alt (/ (- (+ (* 1/24 (* (pow x 2) (fabs x))) (* s (- (* -1/4 (pow s 2)) (* -1/16 (pow x 2))))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))>
#<alt -1/4>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
#<alt (- (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3)))))))>
#<alt (- (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3)))))))>
#<alt -1/4>
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#<alt (- (* -1 (/ (- (* -1/24 (* (pow x 2) (fabs x))) (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x))))) (pow s 3))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))>
#<alt 1/4>
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#<alt (+ 1/4 (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))))>
#<alt (+ 1/4 (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (/ (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))) (pow s 3))>
#<alt (/ (+ (* -1/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (* 1/4 (pow s 3)))) (pow s 3))>
#<alt (/ (+ (* -1/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (* 1/4 (pow s 3)))) (pow s 3))>
#<alt (/ (+ (* -1/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (* 1/4 (pow s 3)))) (pow s 3))>
#<alt 1/4>
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#<alt (+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3)))))>
#<alt (+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3)))))>
#<alt 1/4>
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#<alt (+ 1/4 (* -1 (/ (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x)))) (pow s 3))))>
#<alt (+ 1/4 (* -1 (/ (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x)))) (pow s 3))))>
#<alt 1/4>
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#<alt (+ 1/4 (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (+ 1/4 (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (/ (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))) (pow s 3))>
#<alt (/ (+ (* -1/16 (* s (pow x 2))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))>
#<alt (/ (+ (* -1/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (* s (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2)))))) (pow s 3))>
#<alt (/ (+ (* -1/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (* s (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2)))))) (pow s 3))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3))))))>
#<alt (+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (+ (* -1 (/ (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x)))) (pow s 3))) (* -1/16 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1/4 (+ (* -1 (/ (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x)))) (pow s 3))) (* -1/16 (/ (pow x 2) (pow s 2)))))>
#<alt (/ 1/4 s)>
#<alt (+ (* -1 (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 4))) (* 1/16 (/ 1 (pow s 3)))) (+ (* -1/16 (/ (fabs x) (pow s 4))) (* 5/48 (/ (fabs x) (pow s 4))))))) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1 (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 4))) (* 1/16 (/ 1 (pow s 3)))) (+ (* -1/16 (/ (fabs x) (pow s 4))) (* 5/48 (/ (fabs x) (pow s 4))))))) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1 (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 4))) (* 1/16 (/ 1 (pow s 3)))) (+ (* -1/16 (/ (fabs x) (pow s 4))) (* 5/48 (/ (fabs x) (pow s 4))))))) (* 1/4 (/ 1 s)))>
#<alt (* -1 (/ (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) s))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))>
#<alt (* -1 (/ (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) s))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))>
#<alt (* -1 (/ (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 4)))>
#<alt (/ (+ (* -1 (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))))) (* -1/16 (* s (pow x 2)))) (pow s 4))>
#<alt (/ (+ (* -1 (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))))) (* s (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 4))>
#<alt (/ (+ (* -1 (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))))) (* s (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 4))>
#<alt (/ 1/4 s)>
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#<alt (/ (+ 1/4 (+ (* -1 (/ (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))) (* -1/16 (/ (pow x 2) (pow s 2))))) s)>
#<alt (/ 1/4 s)>
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#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (* (pow x 2) (fabs x))) (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x))))) (pow s 3))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
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#<alt (* 2 s)>
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#<alt (* 2 s)>
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#<alt (/ (+ (* -1 (/ (fabs x) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (pow s 2))>
#<alt (/ (+ (* -1 (/ (fabs x) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (pow s 2))>
#<alt (/ (+ (* -1 (/ (fabs x) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (pow s 2))>
#<alt (/ 1/4 s)>
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#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))) (pow s 3)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) 2)) (+ (* 1/16 (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4))))) (* (fabs x) (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))))))) (pow s 4)))) (+ (* 1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)>
#<alt (/ 1/4 s)>
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#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)))))) (+ (* -1/64 (pow (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) 2)) (* 1/16 (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4))))))) s)) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) 1/4) s))>
#<alt (- 1 (/ (fabs x) s))>
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#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* 1/4 (/ (fabs x) s))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 1/4 (fabs x))) s)) 1/4) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)) 1/4) s))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>

Calls

99 calls:

Time	Variable		Point	Expression
180.0ms	x	@	-inf	(/ (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) s)
15.0ms	x	@	inf	(* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s))))
2.0ms	x	@	0	(/ (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) s)
2.0ms	x	@	inf	(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))))
2.0ms	x	@	0	(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))))

rewrite845.0ms (6.4%)

Memory

10.1MiB live, 519.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 578×	`/-lowering-/.f32`
4 578×	`/-lowering-/.f64`
3 856×	`-lowering-.f32`
3 856×	`-lowering-.f64`
3 128×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	321
1	312	306
2	3194	274
0	8644	260

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 769

Calls

Call 1

Inputs
(/ (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) s)
(* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s))))
(pow (+ (exp (neg (/ (fabs x) s))) 1) -2)
(+ (exp (neg (/ (fabs x) s))) 1)
(/ 1/4 s)
(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))))
(+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4))
(+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)))
(/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (/ (* (* x x) -1/16) (* s s)) (+ (* 5/48 (/ (* (fabs x) (* x x)) (* s (* s s)))) (+ (* (fabs x) (/ (* (* x x) -1/16) (* s (* s s)))) 1/4)))) (neg s))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(/ (- 1 (/ (fabs x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(- 1 (/ (fabs x) s))
(/ (fabs x) s)
(* (/ (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) s) (exp (neg (/ (fabs x) s))))
(/ (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) s)
(/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))
(+ 1 (exp (/ (neg (fabs x)) s)))

Outputs
(neg.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s)))
(exp.f32 (.f32 (log.f32 (.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))
(pow.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s))
(/.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))) (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)))) (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 s)))
(/.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (.f32 (neg.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 (neg.f32 s) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) s)
(/.f32 (*.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)) s)
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(/.f32 (.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 (/.f32 s (fabs.f32 x)) (*.f32 s s)))
(/.f32 (.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) #s(literal 1 binary32)) (.f32 s (.f32 s s)))
(/.f32 (neg.f32 (.f32 (.f32 x (.f32 x (fabs.f32 x))) #s(literal -1/24 binary32))) (.f32 s (*.f32 s s)))
(/.f32 (neg.f32 (.f32 (.f32 x (.f32 x #s(literal 1/24 binary32))) (/.f32 (fabs.f32 x) s))) (.f32 s (neg.f32 s)))
(/.f32 (.f32 (/.f32 (fabs.f32 x) s) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s s))
(/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))) s)
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))) (/.f32 s (fabs.f32 x)))
(/.f32 (.f32 (neg.f32 (fabs.f32 x)) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))) (neg.f32 s))
(/.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s s)) s)
(/.f32 (/.f32 (.f32 (.f32 x (*.f32 x #s(literal 1/24 binary32))) (/.f32 (fabs.f32 x) s)) s) s)
(/.f32 (neg.f32 (.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) #s(literal 1 binary32))) (.f32 s (.f32 s (neg.f32 s))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/24 binary32))))) (neg.f32 (.f32 (/.f32 s (fabs.f32 x)) (*.f32 s s))))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 x (.f32 x (fabs.f32 x))) #s(literal -1/24 binary32)))) (.f32 s (*.f32 s (neg.f32 s))))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 x (.f32 x #s(literal 1/24 binary32))) (/.f32 (fabs.f32 x) s)))) (neg.f32 (.f32 s (neg.f32 s))))
(/.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) (.f32 x (.f32 x #s(literal 1/24 binary32))))) (.f32 s (neg.f32 s)))
(/.f32 (neg.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s s))))) (neg.f32 s))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s s))))) (neg.f32 (/.f32 s (fabs.f32 x))))
(/.f32 (neg.f32 (.f32 (neg.f32 (fabs.f32 x)) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s s))))) s)
(/.f32 (neg.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s s))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 x (*.f32 x #s(literal 1/24 binary32))) (/.f32 (fabs.f32 x) s)) s)) (neg.f32 s))
(.f32 (fabs.f32 x) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s (*.f32 s s)))))
(.f32 (fabs.f32 x) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))))
(.f32 (/.f32 (fabs.f32 x) s) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s s))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s (.f32 s s))))
(.f32 (.f32 x (.f32 x #s(literal 1/24 binary32))) (.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s)))))
(.f32 (.f32 x (.f32 x #s(literal 1/24 binary32))) (/.f32 (fabs.f32 x) (.f32 s (*.f32 s s))))
(.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s))))
(.f32 (.f32 (.f32 x (.f32 x (fabs.f32 x))) #s(literal -1/24 binary32)) (/.f32 #s(literal -1 binary32) (.f32 s (.f32 s s))))
(.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 (fabs.f32 x) s))
(.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (.f32 s s) (.f32 (fabs.f32 x) (.f32 x (*.f32 x #s(literal 1/24 binary32))))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s))) (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s))) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32))))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s s)) (.f32 (.f32 x (*.f32 x #s(literal 1/24 binary32))) (/.f32 (fabs.f32 x) s)))
(.f32 (.f32 (fabs.f32 x) (.f32 x (/.f32 x s))) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))
(.f32 (.f32 (fabs.f32 x) (.f32 x (/.f32 x s))) (pow.f32 (/.f32 (.f32 s s) #s(literal 1/24 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 (.f32 x (.f32 x #s(literal 1/24 binary32))) (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s (*.f32 s s)))) (fabs.f32 x))
(.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 #s(literal 1/24 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s)))))
(.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/24 binary32) (.f32 s (*.f32 s s))))
(.f32 (/.f32 (fabs.f32 x) (.f32 s s)) (/.f32 (.f32 x (.f32 x #s(literal 1/24 binary32))) s))
(.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/24 binary32))) s) (/.f32 (fabs.f32 x) (.f32 s s)))
(.f32 (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s s)) (/.f32 #s(literal 1/24 binary32) s))
(.f32 (pow.f32 (/.f32 (.f32 s s) (.f32 x (.f32 x (fabs.f32 x)))) #s(literal -1 binary32)) (pow.f32 (/.f32 s #s(literal 1/24 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 s s) (fabs.f32 x)) #s(literal -1 binary32)) (pow.f32 (/.f32 s (.f32 x (.f32 x #s(literal 1/24 binary32)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 s (.f32 x (.f32 x #s(literal 1/24 binary32)))) #s(literal -1 binary32)) (pow.f32 (/.f32 (.f32 s s) (fabs.f32 x)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(pow.f32 (/.f32 (+.f32 (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(-.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))))
(/.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (neg.f32 (+.f32 (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (neg.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (log1p.f32 (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (exp.f32 (log.f32 (+.f32 (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (exp.f32 (log1p.f32 (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (exp.f32 (log1p.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (exp.f32 (log.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (exp.f32 (log.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (log1p.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) (exp.f32 (log1p.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(.f32 (expm1.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))

simplify516.0ms (3.9%)

Memory

-1.5MiB live, 964.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 738×	`accelerator-lowering-fma.f32`
17 738×	`accelerator-lowering-fma.f64`
3 916×	`-lowering-.f32`
3 916×	`-lowering-.f64`
3 376×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	474	7120
1	1486	6351
2	5617	5376
0	8640	5227

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
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2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))

Outputs
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/.f32 (-.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 (fabs.f32 x) #s(literal -1/24 binary32)) (.f32 s (.f32 s s))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 s s)) #s(literal 1/4 binary32))) (+.f32 (fma.f32 (fabs.f32 x) (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) (.f32 s (.f32 s s))) (/.f32 (.f32 #s(literal 3/16 binary32) (.f32 x x)) (.f32 s s))) (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -5/48 binary32))) (.f32 s (.f32 s s))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/.f32 (+.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x x)) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 s s)) (/.f32 (.f32 (fabs.f32 x) (.f32 #s(literal -1/24 binary32) (.f32 x x))) (.f32 s (.f32 s s))))) (-.f32 #s(literal 1/4 binary32) (fma.f32 (fabs.f32 x) (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 #s(literal 1/16 binary32) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -5/3 binary32) (.f32 s (.f32 s s))) (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 3/4 binary32)) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (pow.f32 s #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 3/16 binary32) (.f32 x x)) (*.f32 s s))))))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 7/192 binary32)) s)) (fma.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s) #s(literal 0 binary32))) (.f32 s (.f32 s s))))) (neg.f32 s))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
1/4
#s(literal 1/4 binary32)
(- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32))
(- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))))
(-.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 (fabs.f32 x) #s(literal -1/24 binary32)) (.f32 s (.f32 s s))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 s s)) #s(literal 1/4 binary32))) (+.f32 (fma.f32 (fabs.f32 x) (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) (.f32 s (.f32 s s))) (/.f32 (.f32 #s(literal 3/16 binary32) (.f32 x x)) (.f32 s s))) (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -5/48 binary32))) (.f32 s (.f32 s s)))))
(- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4)))))))))
(+.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x x)) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 s s)) (/.f32 (.f32 (fabs.f32 x) (.f32 #s(literal -1/24 binary32) (.f32 x x))) (.f32 s (.f32 s s))))) (-.f32 #s(literal 1/4 binary32) (fma.f32 (fabs.f32 x) (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 #s(literal 1/16 binary32) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -5/3 binary32) (.f32 s (.f32 s s))) (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 3/4 binary32)) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (pow.f32 s #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 3/16 binary32) (.f32 x x)) (*.f32 s s)))))))
1/4
#s(literal 1/4 binary32)
(- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32))
(- (+ 1/4 (+ (* -1 (/ (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32))
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(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 (fabs.f32 x))) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 (fabs.f32 x))) s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fabs.f32 x) (/.f32 (.f32 x x) s)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))

eval156.0ms (1.2%)

Memory: 11.5MiB live, 444.3MiB allocated
Compiler: Compiled 69 670 to 3 400 computations (95.1% saved)

prune208.0ms (1.6%)

Memory

-3.7MiB live, 428.9MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 514	12	1 526
Fresh	4	4	8
Picked	3	2	5
Done	0	0	0
Total	1 521	18	1 539

Accuracy

100.0%

Counts

1 539 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.3%	(fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s s))) #s(literal 0 binary32)) (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) s))
	23.4%	(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
	18.8%	(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
▶	17.4%	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
▶	17.0%	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (.f32 s s)))))) (neg.f32 s))
	16.6%	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s))))))) (neg.f32 s))
	16.2%	(/.f32 (-.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s (.f32 s s))) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) (neg.f32 s))
	96.2%	(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
▶	99.8%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
▶	74.3%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s)) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	96.5%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)))
✓	29.5%	(/.f32 #s(literal 1/4 binary32) s)
	99.4%	(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)))
	51.3%	(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	99.8%	(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	32.6%	(.f32 (neg.f32 (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 x x) (fma.f32 #s(literal 3/16 binary32) (.f32 x x) (neg.f32 (/.f32 (fma.f32 (fabs.f32 x) (fma.f32 #s(literal 1/4 binary32) (.f32 x x) (.f32 #s(literal -3/16 binary32) (.f32 x x))) (fma.f32 (fabs.f32 x) (.f32 #s(literal -3/16 binary32) (.f32 x x)) (.f32 (fabs.f32 x) (.f32 (*.f32 x x) #s(literal 5/48 binary32))))) s)))) (neg.f32 s))) s)) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	97.8%	(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))
▶	73.3%	#s(literal 0 binary32)

Compiler

Compiled 1 070 to 544 computations (49.2% saved)

simplify560.0ms (4.3%)

Memory

18.8MiB live, 1 167.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s)) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
✓	cost-diff	64	(.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s)) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	cost-diff	320	(fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))
✓	cost-diff	64	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (.f32 s s)))))) (neg.f32 s))
✓	cost-diff	480	(fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s))))
✓	cost-diff	1472	(+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s)))))
✓	cost-diff	1920	(-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (.f32 s s))))))
✓	cost-diff	0	(/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (*.f32 s s)))
✓	cost-diff	64	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
✓	cost-diff	320	(.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (.f32 s s))))
✓	cost-diff	1920	(-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32)))
✓	cost-diff	0	(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	cost-diff	0	(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
✓	cost-diff	0	(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	cost-diff	0	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)

Rules

28 342×	`accelerator-lowering-fma.f32`
28 342×	`accelerator-lowering-fma.f64`
4 504×	`-lowering-.f32`
4 504×	`-lowering-.f64`
2 744×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	732
1	193	730
2	652	728
3	2576	596
4	7856	596
0	8434	570

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)
(exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))
-2
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(exp (neg (/ (fabs x) s)))
(neg (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
0
(/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4)) (neg s))
(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4))
(/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))
(* (fabs x) (* (* x x) 1/24))
(fabs x)
x
(* (* x x) 1/24)
(* x x)
1/24
(* s (* s s))
s
(* s s)
(+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4)
(* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))
(+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s)))
(/ (fabs x) (* s (* s s)))
(/ -1/16 (* s s))
-1/16
1/4
(neg s)
(/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))))) (neg s))
(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s))))))
(/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))
(* (fabs x) (* (* x x) 1/24))
(fabs x)
x
(* (* x x) 1/24)
(* x x)
1/24
(* s (* s s))
s
(* s s)
(+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))))
(+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4)
(* x (* x (fabs x)))
(* x (fabs x))
(/ -1/16 (* s (* s s)))
-1/16
1/4
(+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s))))
(* x (/ -1/16 (* s s)))
(/ -1/16 (* s s))
(/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))
(* 5/48 (* x (* x (fabs x))))
5/48
(neg s)
(/ (exp (/ (neg (fabs x)) s)) (* (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(exp (/ (neg (fabs x)) s))
(/ (neg (fabs x)) s)
(neg (fabs x))
(fabs x)
x
s
(* (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))) (+ 1 (exp (/ (neg (fabs x)) s))))
(* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s)))
(- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))
2
(/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s)
(+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s))
(/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)
(+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2))
1/6
(/ (* (fabs x) (* x x)) s)
(* (fabs x) (* x x))
(* x x)
(* (* x x) -1/2)
-1/2
(+ 1 (exp (/ (neg (fabs x)) s)))
1

Outputs
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
-2
#s(literal -2 binary32)
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
0
#s(literal 0 binary32)
(/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4)) (neg s))
(/.f32 (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) #s(literal 1/4 binary32)) s)
(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4))
(fma.f32 (.f32 x x) (/.f32 #s(literal 1/16 binary32) (.f32 s s)) #s(literal -1/4 binary32))
(/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))
(/.f32 (.f32 x (.f32 #s(literal 1/24 binary32) (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s)))
(* (fabs x) (* (* x x) 1/24))
(.f32 x (.f32 #s(literal 1/24 binary32) (*.f32 x (fabs.f32 x))))
(fabs x)
(fabs.f32 x)
x
(* (* x x) 1/24)
(.f32 (.f32 x x) #s(literal 1/24 binary32))
(* x x)
(*.f32 x x)
1/24
#s(literal 1/24 binary32)
(* s (* s s))
(.f32 s (.f32 s s))
s
(* s s)
(*.f32 s s)
(+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4)
(fma.f32 x (.f32 (/.f32 x (.f32 s s)) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/24 binary32) s) #s(literal -1/16 binary32))) #s(literal 1/4 binary32))
(* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))
(.f32 (/.f32 x (.f32 s s)) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/24 binary32) s) #s(literal -1/16 binary32)))
(+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s)))
(fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))
(/ (fabs x) (* s (* s s)))
(/.f32 (fabs.f32 x) (.f32 s (.f32 s s)))
(/ -1/16 (* s s))
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
-1/16
#s(literal -1/16 binary32)
1/4
#s(literal 1/4 binary32)
(neg s)
(neg.f32 s)
(/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))))) (neg s))
(/.f32 (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) #s(literal 1/4 binary32)) s)
(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s))))))
(fma.f32 (.f32 x x) (/.f32 #s(literal 1/16 binary32) (.f32 s s)) #s(literal -1/4 binary32))
(/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))
(/.f32 (.f32 x (.f32 #s(literal 1/24 binary32) (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s)))
(* (fabs x) (* (* x x) 1/24))
(.f32 x (.f32 #s(literal 1/24 binary32) (*.f32 x (fabs.f32 x))))
(fabs x)
(fabs.f32 x)
x
(* (* x x) 1/24)
(.f32 (.f32 x x) #s(literal 1/24 binary32))
(* x x)
(*.f32 x x)
1/24
#s(literal 1/24 binary32)
(* s (* s s))
(.f32 s (.f32 s s))
s
(* s s)
(*.f32 s s)
(+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))))
(fma.f32 x (.f32 (/.f32 x (.f32 s s)) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/24 binary32) s) #s(literal -1/16 binary32))) #s(literal 1/4 binary32))
(+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4)
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))
(* x (* x (fabs x)))
(.f32 x (.f32 x (fabs.f32 x)))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(/ -1/16 (* s (* s s)))
(/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s)))
-1/16
#s(literal -1/16 binary32)
1/4
#s(literal 1/4 binary32)
(+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s))))
(.f32 (/.f32 x (.f32 s s)) (fma.f32 x #s(literal -1/16 binary32) (.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal 5/48 binary32))))
(* x (/ -1/16 (* s s)))
(.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s)))
(/ -1/16 (* s s))
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
(/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))
(/.f32 (.f32 x (.f32 x (.f32 (fabs.f32 x) #s(literal 5/48 binary32)))) (.f32 s (*.f32 s s)))
(* 5/48 (* x (* x (fabs x))))
(.f32 x (.f32 x (*.f32 (fabs.f32 x) #s(literal 5/48 binary32))))
5/48
#s(literal 5/48 binary32)
(neg s)
(neg.f32 s)
(/ (exp (/ (neg (fabs x)) s)) (* (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(exp (/ (neg (fabs x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/ (neg (fabs x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(neg (fabs x))
(neg.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
s
(* (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))) (+ 1 (exp (/ (neg (fabs x)) s))))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s)))
(.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)) s)))
(- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)) s))
2
#s(literal 2 binary32)
(/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)) s)
(+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s))
(+.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s))
(/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2))
(.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32)))
1/6
#s(literal 1/6 binary32)
(/ (* (fabs x) (* x x)) s)
(/.f32 (.f32 x (.f32 x (fabs.f32 x))) s)
(* (fabs x) (* x x))
(.f32 x (.f32 x (fabs.f32 x)))
(* x x)
(*.f32 x x)
(* (* x x) -1/2)
(.f32 x (.f32 x #s(literal -1/2 binary32)))
-1/2
#s(literal -1/2 binary32)
(+ 1 (exp (/ (neg (fabs x)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)

localize398.0ms (3%)

Memory

8.6MiB live, 725.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.8%	(/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s)
✓	accuracy	92.8%	(.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (*.f32 x x) #s(literal -1/2 binary32))) s)) s)))
✓	accuracy	90.8%	(/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s)
✓	accuracy	83.4%	(fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))
✓	accuracy	76.8%	(/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (*.f32 s s)))
✓	accuracy	66.3%	(fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s))))
✓	accuracy	59.4%	(+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s)))))
✓	accuracy	48.2%	(-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (.f32 s s))))))
✓	accuracy	91.5%	(.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (.f32 s s))))
✓	accuracy	76.8%	(/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (*.f32 s s)))
✓	accuracy	66.3%	(fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))
✓	accuracy	48.2%	(-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32)))
✓	accuracy	100.0%	(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
✓	accuracy	100.0%	(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	accuracy	99.9%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
✓	accuracy	99.9%	(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))

Samples

197.0ms	130×	2	valid
47.0ms	95×	0	valid
25.0ms	31×	1	valid

Compiler

Compiled 801 to 68 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult: 57.0ms (25.5% of total)

ival-div: 56.0ms (25.1% of total)

const: 26.0ms (11.6% of total)

adjust: 25.0ms (11.2% of total)

ival-add: 25.0ms (11.2% of total)

ival-exp: 12.0ms (5.4% of total)

ival-sub: 8.0ms (3.6% of total)

ival-neg: 6.0ms (2.7% of total)

ival-log1p: 4.0ms (1.8% of total)

ival-fabs: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series183.0ms (1.4%)

Memory

-4.1MiB live, 229.8MiB allocated

Counts

20 → 480

Calls

Call 1

Inputs
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))>
#<alt (log (+ 1 (exp (neg (/ (fabs x) s)))))>
#<alt (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4))>
#<alt (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))>
#<alt (/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4)) (neg s))>
#<alt (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))>
#<alt (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s))))))>
#<alt (+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))))>
#<alt (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s))))>
#<alt (/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))))) (neg s))>
#<alt (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2))>
#<alt (* (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))) (+ 1 (exp (/ (neg (fabs x)) s))))>
#<alt (/ (exp (/ (neg (fabs x)) s)) (* (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))) (+ 1 (exp (/ (neg (fabs x)) s)))))>
#<alt (exp (/ (neg (fabs x)) s))>
#<alt (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s)))>
#<alt (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)>
#<alt (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s)))>
#<alt (/ (* (fabs x) (* x x)) s)>

Outputs
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2)))) s)>
#<alt (/ (+ 1/4 (+ (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (* -1/12 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))))) s)>
#<alt (/ (+ 1/4 (+ (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (+ (* -1/12 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1/12 (+ (* -1 (pow (fabs x) 4)) (+ (* -3/4 (pow (fabs x) 4)) (+ (* -3/8 (pow (fabs x) 4)) (+ (* 1/2 (pow (fabs x) 4)) (* 3/2 (pow (fabs x) 4))))))) (* 1/2 (pow (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) 2))) (pow s 4)))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1/12 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/12 (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3))))) (* 1/4 (/ (+ (* -1/12 (+ (* -1 (pow (fabs x) 4)) (+ (* -3/4 (pow (fabs x) 4)) (+ (* -3/8 (pow (fabs x) 4)) (+ (* 1/2 (pow (fabs x) 4)) (* 3/2 (pow (fabs x) 4))))))) (* 1/2 (pow (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) 2))) s))) (pow s 3))) (* 1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2)))) 1/4) s))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
#<alt (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))>
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#<alt (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))))>
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#<alt (/ (- (+ (* 1/24 (* (pow x 2) (fabs x))) (* s (- (* -1/4 (pow s 2)) (* -1/16 (pow x 2))))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))>
#<alt (/ (- (+ (* 1/24 (* (pow x 2) (fabs x))) (* s (- (* -1/4 (pow s 2)) (* -1/16 (pow x 2))))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))>
#<alt -1/4>
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#<alt (- (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3)))))))>
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#<alt (- (* -1 (/ (- (* -1/24 (* (pow x 2) (fabs x))) (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x))))) (pow s 3))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))>
#<alt 1/4>
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#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))>
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#<alt (/ 1/4 s)>
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#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))>
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#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))>
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#<alt (* -1 (/ (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 4)))>
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#<alt (/ (+ (* -1 (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))))) (* s (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 4))>
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#<alt (/ 1/4 s)>
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#<alt (* -1/6 (/ (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s)))))) (pow s 2)))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* 1/2 (* s (* (pow x 2) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* s (+ (* -1 (* s (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* 1/2 (* (pow x 2) (+ 1 (exp (* -1 (/ (fabs x) s))))))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* s (+ (* 1/2 (* (pow x 2) (+ 1 (exp (* -1 (/ (fabs x) s)))))) (* s (+ (* -1 (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s)))))) (* 2 (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))))))) (pow s 2))>
#<alt (* 4 s)>
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#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1/2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/3 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))))>
#<alt (* 4 s)>
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#<alt (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))))>
#<alt (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))))>
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#<alt (* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))>
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#<alt (* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))))>
#<alt (+ (* -1 (/ (* (pow x 2) (* (exp (* -1 (/ (fabs x) s))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- 2 (/ (fabs x) s)) 2))))) (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s))))))>
#<alt (+ (* (pow x 2) (- (/ (* (pow x 2) (* (exp (* -1 (/ (fabs x) s))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 2))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- 2 (/ (fabs x) s)) 3)))) (/ (* (exp (* -1 (/ (fabs x) s))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- 2 (/ (fabs x) s)) 2)))))) (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s))))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (exp (* -1 (/ (fabs x) s))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 3))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- 2 (/ (fabs x) s)) 4))))) (* -1 (/ (* (exp (* -1 (/ (fabs x) s))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 2)) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- 2 (/ (fabs x) s)) 3))))))) (/ (* (exp (* -1 (/ (fabs x) s))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- 2 (/ (fabs x) s)) 2)))))) (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))))>
#<alt (/ (+ (* -1 (/ (* (exp (* -1 (/ (fabs x) s))) (- 2 (/ (fabs x) s))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 2)))))) (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))))) (pow x 2))>
#<alt (/ (- (+ (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))) (/ (* (exp (* -1 (/ (fabs x) s))) (pow (- 2 (/ (fabs x) s)) 2)) (* s (* (pow x 4) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 3)))))) (/ (* (exp (* -1 (/ (fabs x) s))) (- 2 (/ (fabs x) s))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 2)))))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (* (exp (* -1 (/ (fabs x) s))) (pow (- 2 (/ (fabs x) s)) 3)) (* s (* (pow x 6) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 4)))))) (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))))) (+ (* -1 (/ (* (exp (* -1 (/ (fabs x) s))) (pow (- 2 (/ (fabs x) s)) 2)) (* s (* (pow x 4) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 3)))))) (/ (* (exp (* -1 (/ (fabs x) s))) (- 2 (/ (fabs x) s))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 2))))))) (pow x 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))))>
#<alt (/ (+ (* -1 (/ (* (exp (* -1 (/ (fabs x) s))) (- 2 (/ (fabs x) s))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 2)))))) (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))))) (pow x 2))>
#<alt (/ (- (+ (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))) (/ (* (exp (* -1 (/ (fabs x) s))) (pow (- 2 (/ (fabs x) s)) 2)) (* s (* (pow x 4) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 3)))))) (/ (* (exp (* -1 (/ (fabs x) s))) (- 2 (/ (fabs x) s))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 2)))))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (* (exp (* -1 (/ (fabs x) s))) (pow (- 2 (/ (fabs x) s)) 3)) (* s (* (pow x 6) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 4)))))) (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))))) (+ (* -1 (/ (* (exp (* -1 (/ (fabs x) s))) (pow (- 2 (/ (fabs x) s)) 2)) (* s (* (pow x 4) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 3)))))) (/ (* (exp (* -1 (/ (fabs x) s))) (- 2 (/ (fabs x) s))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 2))))))) (pow x 2))>
#<alt (* -6 (/ (* (pow s 2) (exp (* -1 (/ (fabs x) s)))) (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (* (pow s 2) (+ (* -18 (/ (* s (exp (* -1 (/ (fabs x) s)))) (* (pow x 2) (* (pow (fabs x) 2) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) (* -6 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))))))>
#<alt (* (pow s 2) (+ (* -6 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) (* s (- (* -1 (* s (+ (* -36 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 4) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) (* 54 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 2) (* (pow (fabs x) 3) (+ 1 (exp (* -1 (/ (fabs x) s))))))))))) (* 18 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 2) (* (pow (fabs x) 2) (+ 1 (exp (* -1 (/ (fabs x) s))))))))))))>
#<alt (* (pow s 2) (+ (* -6 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) (* s (- (* s (- (* -1 (* s (+ (* -108 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 4) (* (pow (fabs x) 2) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) (+ (* 3 (/ (+ (* -36 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 4) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) (* 54 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 2) (* (pow (fabs x) 3) (+ 1 (exp (* -1 (/ (fabs x) s))))))))) (fabs x))) (* 72 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 4) (* (pow (fabs x) 2) (+ 1 (exp (* -1 (/ (fabs x) s)))))))))))) (+ (* -36 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 4) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) (* 54 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 2) (* (pow (fabs x) 3) (+ 1 (exp (* -1 (/ (fabs x) s))))))))))) (* 18 (/ (exp (* -1 (/ (fabs x) s))) (* (pow x 2) (* (pow (fabs x) 2) (+ 1 (exp (* -1 (/ (fabs x) s))))))))))))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow x 2)) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/3 (* (pow x 2) (fabs x))) (* -1/3 (pow (fabs x) 3))))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow x 2)) (pow s 2)))))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2)))))) (* 1/16 (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/3 (* (pow x 2) (fabs x))) (* -1/3 (pow (fabs x) 3))))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/3 (* (pow x 2) (fabs x))) (* -1/3 (pow (fabs x) 3))))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/12 (pow (fabs x) 4)) (+ (* 1/6 (* (pow x 2) (pow (fabs x) 2))) (+ (* 1/6 (pow (fabs x) 4)) (* 1/4 (* (pow x 2) (pow (fabs x) 2)))))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow x 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2))))) (pow s 4))))))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2)))) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 1/3 (* (pow x 2) (fabs x))) (+ (* 1/3 (pow (fabs x) 3)) (+ (* 1/2 (* (pow x 2) (fabs x))) (* 1/2 (pow (fabs x) 3))))) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2))))) (pow s 3))))) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 1/3 (* (pow x 2) (fabs x))) (+ (* 1/3 (pow (fabs x) 3)) (+ (* 1/2 (* (pow x 2) (fabs x))) (* 1/2 (pow (fabs x) 3)))))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/12 (pow (fabs x) 4)) (+ (* 1/6 (* (pow x 2) (pow (fabs x) 2))) (+ (* 1/6 (pow (fabs x) 4)) (* 1/4 (* (pow x 2) (pow (fabs x) 2)))))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow x 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 1/3 (* (pow x 2) (fabs x))) (+ (* 1/3 (pow (fabs x) 3)) (+ (* 1/2 (* (pow x 2) (fabs x))) (* 1/2 (pow (fabs x) 3)))))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2)))))))) s)))) (pow s 3)))) 1/4) s))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))>
#<alt (* 1/24 (/ (fabs x) (pow s 3)))>
#<alt (/ (+ (* -1/16 s) (* 1/24 (fabs x))) (pow s 3))>
#<alt (/ (+ (* -1/16 s) (* 1/24 (fabs x))) (pow s 3))>
#<alt (/ (+ (* -1/16 s) (* 1/24 (fabs x))) (pow s 3))>
#<alt (/ -1/16 (pow s 2))>
#<alt (/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))>
#<alt (/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))>
#<alt (/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))>
#<alt (/ -1/16 (pow s 2))>
#<alt (/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))>
#<alt (/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))>
#<alt (/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)>
#<alt (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 2))>
#<alt (/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 2))>
#<alt (/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 2))>
#<alt (* -1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s)>
#<alt (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s)>
#<alt (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s)>
#<alt (* -1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s))>
#<alt (* -1 (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s))>
#<alt (* -1 (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 (fabs x)) (* 2 s)))))) (pow s 2))>
#<alt (* 2 s)>
#<alt (* s (+ 2 (* -1 (/ (fabs x) s))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))>
#<alt (* 2 s)>
#<alt (* -1 (* s (- (/ (fabs x) s) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow x 2) s))) s)) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))) s)) 2)))>
#<alt (* s (- 2 (/ (fabs x) s)))>
#<alt (+ (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (- 2 (/ (fabs x) s))))>
#<alt (+ (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (- 2 (/ (fabs x) s))))>
#<alt (+ (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (- 2 (/ (fabs x) s))))>
#<alt (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))>
#<alt (* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))>
#<alt (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))>
#<alt (* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>

Calls

120 calls:

Time	Variable		Point	Expression
42.0ms	x	@	-inf	(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)
42.0ms	x	@	0	(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)
23.0ms	x	@	-inf	(/ (exp (/ (neg (fabs x)) s)) (* (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))) (+ 1 (exp (/ (neg (fabs x)) s)))))
16.0ms	x	@	inf	(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)
5.0ms	s	@	0	(log (+ 1 (exp (neg (/ (fabs x) s)))))

rewrite704.0ms (5.3%)

Memory

-250.1MiB live, 672.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 482×	`-lowering-.f32`
5 482×	`-lowering-.f64`
5 152×	`accelerator-lowering-fma.f32`
5 152×	`accelerator-lowering-fma.f64`
3 830×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	488
1	432	450
2	4450	436
0	9364	409

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 668

Calls

Call 1

Inputs
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)
(exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4))
(* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))
(/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (* x (* x (+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s))))) 1/4)) (neg s))
(/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s)))
(- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s))))))
(+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))))
(+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s))))
(/ (- (/ (* (fabs x) (* (* x x) 1/24)) (* s (* s s))) (+ (+ (* (* x (* x (fabs x))) (/ -1/16 (* s (* s s)))) 1/4) (+ (* x (* x (/ -1/16 (* s s)))) (/ (* 5/48 (* x (* x (fabs x)))) (* s (* s s)))))) (neg s))
(+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2))
(* (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))) (+ 1 (exp (/ (neg (fabs x)) s))))
(/ (exp (/ (neg (fabs x)) s)) (* (* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(exp (/ (neg (fabs x)) s))
(+ (* 1/24 (/ (fabs x) (* s (* s s)))) (/ -1/16 (* s s)))
(/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)
(* s (- 2 (/ (+ (fabs x) (/ (+ (* 1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) -1/2)) s)) s)))
(/ (* (fabs x) (* x x)) s)

Outputs
(neg.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s)))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) s))
(exp.f32 (.f32 (log.f32 (.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) s)
(/.f32 (*.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)) s)
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s))
(*.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) s))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32)) (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(*.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(pow.f32 (exp.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (neg.f32 (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (neg.f32 (/.f32 (.f32 x x) (.f32 (neg.f32 s) (neg.f32 s)))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (fabs.f32 x) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32)) #s(literal 1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (exp.f32 (/.f32 (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (/.f32 (.f32 x x) (*.f32 (neg.f32 s) (neg.f32 s))) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 0 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(+.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(pow.f32 (/.f32 (fma.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))) (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (neg.f32 (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (neg.f32 (/.f32 (.f32 x x) (.f32 (neg.f32 s) (neg.f32 s)))))) #s(literal -1 binary32))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(fma.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 (fabs.f32 x) s) (log.f32 (exp.f32 #s(literal -1 binary32))) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32) (neg.f32 (/.f32 (fabs.f32 x) s)))
(fma.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (log.f32 (exp.f32 (neg.f32 (fabs.f32 x)))) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fabs.f32 x))) #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 #s(literal -1 binary32) (log.f32 (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(-.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (fabs.f32 x) s))
(-.f32 #s(literal 0 binary32) (-.f32 (/.f32 (fabs.f32 x) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(-.f32 (/.f32 (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s))) (/.f32 (/.f32 (.f32 x x) (*.f32 (neg.f32 s) (neg.f32 s))) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s))))
(-.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 0 binary32)) (/.f32 (fabs.f32 x) s))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))) (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (neg.f32 (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (neg.f32 (/.f32 (.f32 x x) (.f32 (neg.f32 s) (neg.f32 s)))))))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (neg.f32 (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))))) (fma.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (neg.f32 (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))))) (+.f32 (/.f32 (.f32 x x) (.f32 (neg.f32 s) (neg.f32 s))) (-.f32 (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (neg.f32 (/.f32 (.f32 x x) (.f32 (neg.f32 s) (neg.f32 s))))) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)))
(/.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (neg.f32 (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s)))))) (neg.f32 (fma.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (neg.f32 (/.f32 (.f32 x x) (.f32 (neg.f32 s) (neg.f32 s)))))) (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s))))
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 3 binary32)) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s)))) (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (+.f32 (/.f32 (.f32 x x) (.f32 (neg.f32 s) (neg.f32 s))) (.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (fabs.f32 x) s)))))
(/.f32 (-.f32 (/.f32 (.f32 x x) (.f32 (neg.f32 s) (neg.f32 s))) (pow.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
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(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))))
(+.f32 (log1p.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
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(.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (.f32 (.f32 #s(literal 1/6 binary32) (fabs.f32 x)) (/.f32 (*.f32 x x) s))) s)) s)) s)
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (.f32 (.f32 #s(literal 1/6 binary32) (fabs.f32 x)) (/.f32 (.f32 x x) s))) s)) s)) (.f32 s #s(literal 1 binary32)))
(.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (.f32 (.f32 #s(literal 1/6 binary32) (fabs.f32 x)) (/.f32 (.f32 x x) s))) s)) s))) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (.f32 (.f32 #s(literal 1/6 binary32) (fabs.f32 x)) (/.f32 (.f32 x x) s))) s)) s))) s)
(neg.f32 (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (neg.f32 s)))
(neg.f32 (/.f32 (neg.f32 (.f32 x (.f32 x (fabs.f32 x)))) s))
(exp.f32 (.f32 (log.f32 (/.f32 s (.f32 x (*.f32 x (fabs.f32 x))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (.f32 x (.f32 x (fabs.f32 x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (.f32 x (.f32 x (fabs.f32 x)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (.f32 x (.f32 x (fabs.f32 x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (.f32 x (.f32 x (fabs.f32 x)))) #s(literal 1 binary32)))
(/.f32 (.f32 x (.f32 x (fabs.f32 x))) s)
(/.f32 (neg.f32 (.f32 x (.f32 x (fabs.f32 x)))) (neg.f32 s))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (.f32 x (.f32 x (fabs.f32 x))))))
(/.f32 (neg.f32 (neg.f32 (.f32 x (.f32 x (fabs.f32 x))))) s)
(/.f32 (.f32 (.f32 x (*.f32 x (fabs.f32 x))) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (neg.f32 (.f32 x (.f32 x (fabs.f32 x)))) #s(literal -1 binary32)) s)
(.f32 #s(literal 1 binary32) (/.f32 (.f32 x (*.f32 x (fabs.f32 x))) s))
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(.f32 x (.f32 (*.f32 x (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s)))
(.f32 (fabs.f32 x) (/.f32 (.f32 x x) s))
(.f32 (.f32 x x) (/.f32 (fabs.f32 x) s))
(.f32 (.f32 x (fabs.f32 x)) (/.f32 x s))
(.f32 (.f32 x (fabs.f32 x)) (*.f32 x (/.f32 #s(literal 1 binary32) s)))
(.f32 (.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))
(.f32 (neg.f32 (.f32 x (*.f32 x (fabs.f32 x)))) (/.f32 #s(literal -1 binary32) s))
(.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (*.f32 x (fabs.f32 x))))
(.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x (fabs.f32 x)))) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 x x) s) (fabs.f32 x))

simplify433.0ms (3.3%)

Memory

22.6MiB live, 791.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 586×	`accelerator-lowering-fma.f32`
10 586×	`accelerator-lowering-fma.f64`
5 992×	`-lowering-.f32`
5 992×	`-lowering-.f64`
3 956×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	750	10386
1	2305	9395
0	8754	8956

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/ 1/4 s)
(/ (+ 1/4 (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2)))) s)
(/ (+ 1/4 (+ (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (* -1/12 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))))) s)
(/ (+ 1/4 (+ (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (+ (* -1/12 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1/12 (+ (* -1 (pow (fabs x) 4)) (+ (* -3/4 (pow (fabs x) 4)) (+ (* -3/8 (pow (fabs x) 4)) (+ (* 1/2 (pow (fabs x) 4)) (* 3/2 (pow (fabs x) 4))))))) (* 1/2 (pow (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) 2))) (pow s 4)))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1/12 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2)))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/12 (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3))))) (* 1/4 (/ (+ (* -1/12 (+ (* -1 (pow (fabs x) 4)) (+ (* -3/4 (pow (fabs x) 4)) (+ (* -3/8 (pow (fabs x) 4)) (+ (* 1/2 (pow (fabs x) 4)) (* 3/2 (pow (fabs x) 4))))))) (* 1/2 (pow (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) 2))) s))) (pow s 3))) (* 1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2)))) 1/4) s))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
(exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s)))
1/4
(+ 1/4 (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))))
(+ 1/4 (+ (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (* -1/12 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3)))))
(+ 1/4 (+ (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (+ (* -1/12 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1/12 (+ (* -1 (pow (fabs x) 4)) (+ (* -3/4 (pow (fabs x) 4)) (+ (* -3/8 (pow (fabs x) 4)) (+ (* 1/2 (pow (fabs x) 4)) (* 3/2 (pow (fabs x) 4))))))) (* 1/2 (pow (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) 2))) (pow s 4))))))
1/4
(+ 1/4 (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))))
(+ 1/4 (+ (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (* 1/12 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) (pow s 3)))))
(+ 1/4 (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/12 (+ (* -1 (pow (fabs x) 4)) (+ (* -3/4 (pow (fabs x) 4)) (+ (* -3/8 (pow (fabs x) 4)) (+ (* 1/2 (pow (fabs x) 4)) (* 3/2 (pow (fabs x) 4))))))) (* 1/2 (pow (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) 2))) s)) (* -1/12 (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))))) (pow s 3))) (* -1/4 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2)))))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ (- (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (fabs x)) s)
(/ (- (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (fabs x)) s)
(/ (- (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (fabs x)) s)
(* -2 (log 2))
(+ (* -2 (log 2)) (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))))
(+ (* -2 (log 2)) (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (* -1/3 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3)))))
(+ (* -2 (log 2)) (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (+ (* -1/3 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (* -1/12 (/ (+ (* -1 (pow (fabs x) 4)) (+ (* -3/4 (pow (fabs x) 4)) (+ (* -3/8 (pow (fabs x) 4)) (+ (* 1/2 (pow (fabs x) 4)) (* 3/2 (pow (fabs x) 4)))))) (pow s 4))))))
(* -2 (log 2))
(+ (* -2 (log 2)) (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))))
(+ (* -2 (log 2)) (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (* 1/3 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) (pow s 3)))))
(+ (* -2 (log 2)) (+ (* -1 (/ (+ (* -1/3 (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3))))) (* 1/12 (/ (+ (* -1 (pow (fabs x) 4)) (+ (* -3/4 (pow (fabs x) 4)) (+ (* -3/8 (pow (fabs x) 4)) (+ (* 1/2 (pow (fabs x) 4)) (* 3/2 (pow (fabs x) 4)))))) s))) (pow s 3))) (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log (+ 1 (exp (neg (/ (fabs x) s)))))
(log 2)
(+ (log 2) (* -1/2 (/ (fabs x) s)))
(+ (log 2) (+ (* -1/2 (/ (fabs x) s)) (* 1/2 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ (fabs x) s)) (+ (* 1/6 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ (fabs x) s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) s)) (* 1/2 (fabs x))) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) s)) (* 1/2 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) s)) (* 1/2 (fabs x))) s)))
-1/4
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(* 1/16 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* 1/16 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* 1/16 (/ (pow x 2) (pow s 2)))
(/ (- (* -1/4 (pow s 2)) (* -1/16 (pow x 2))) (pow s 2))
(/ (- (* -1/4 (pow s 2)) (* -1/16 (pow x 2))) (pow s 2))
(/ (- (* -1/4 (pow s 2)) (* -1/16 (pow x 2))) (pow s 2))
-1/4
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
-1/4
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* x (- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* 1/24 (/ (* x (fabs x)) (pow s 3)))
(/ (+ (* -1/16 (* s x)) (* 1/24 (* x (fabs x)))) (pow s 3))
(/ (+ (* -1/16 (* s x)) (* 1/24 (* x (fabs x)))) (pow s 3))
(/ (+ (* -1/16 (* s x)) (* 1/24 (* x (fabs x)))) (pow s 3))
(* -1/16 (/ x (pow s 2)))
(/ (+ (* -1/16 x) (* 1/24 (/ (* x (fabs x)) s))) (pow s 2))
(/ (+ (* -1/16 x) (* 1/24 (/ (* x (fabs x)) s))) (pow s 2))
(/ (+ (* -1/16 x) (* 1/24 (/ (* x (fabs x)) s))) (pow s 2))
(* -1/16 (/ x (pow s 2)))
(/ (+ (* -1/16 x) (* 1/24 (/ (* x (fabs x)) s))) (pow s 2))
(/ (+ (* -1/16 x) (* 1/24 (/ (* x (fabs x)) s))) (pow s 2))
(/ (+ (* -1/16 x) (* 1/24 (/ (* x (fabs x)) s))) (pow s 2))
(/ 1/4 s)
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(* -1/16 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(* -1/16 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(* -1/16 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))
(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
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(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
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(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
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(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
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(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
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(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
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(* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3)))
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-1/4
(- (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) 1/4)
(- (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) 1/4)
(- (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) 1/4)
(* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))))
(* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))
(* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))
(* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))
(* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))))
(* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))
(* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))
(* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2)))))))
(/ (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))
(/ (- (+ (* 1/24 (* (pow x 2) (fabs x))) (* 1/16 (* s (pow x 2)))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))
(/ (- (+ (* 1/24 (* (pow x 2) (fabs x))) (* s (- (* -1/4 (pow s 2)) (* -1/16 (pow x 2))))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))
(/ (- (+ (* 1/24 (* (pow x 2) (fabs x))) (* s (- (* -1/4 (pow s 2)) (* -1/16 (pow x 2))))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))
-1/4
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3)))))))
(- (* 1/24 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3)))))))
-1/4
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* -1 (/ (- (* -1/24 (* (pow x 2) (fabs x))) (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x))))) (pow s 3))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))
(- (* -1 (/ (- (* -1/24 (* (pow x 2) (fabs x))) (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x))))) (pow s 3))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))
1/4
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(* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (+ (* -1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow s 2)))))
(/ (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))) (pow s 3))
(/ (+ (* -1/16 (* s (pow x 2))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))
(/ (+ (* -1/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (* s (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2)))))) (pow s 3))
(/ (+ (* -1/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (* s (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2)))))) (pow s 3))
1/4
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(+ 1/4 (+ (* -1/16 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3))))))
1/4
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(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 5/48 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))))
(* 5/48 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(/ (+ (* -1/16 (* s (pow x 2))) (* 5/48 (* (pow x 2) (fabs x)))) (pow s 3))
(/ (+ (* -1/16 (* s (pow x 2))) (* 5/48 (* (pow x 2) (fabs x)))) (pow s 3))
(/ (+ (* -1/16 (* s (pow x 2))) (* 5/48 (* (pow x 2) (fabs x)))) (pow s 3))
(* -1/16 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/16 (pow x 2)) (* 5/48 (/ (* (pow x 2) (fabs x)) s))) (pow s 2))
(/ (+ (* -1/16 (pow x 2)) (* 5/48 (/ (* (pow x 2) (fabs x)) s))) (pow s 2))
(/ (+ (* -1/16 (pow x 2)) (* 5/48 (/ (* (pow x 2) (fabs x)) s))) (pow s 2))
(* -1/16 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/16 (pow x 2)) (* 5/48 (/ (* (pow x 2) (fabs x)) s))) (pow s 2))
(/ (+ (* -1/16 (pow x 2)) (* 5/48 (/ (* (pow x 2) (fabs x)) s))) (pow s 2))
(/ (+ (* -1/16 (pow x 2)) (* 5/48 (/ (* (pow x 2) (fabs x)) s))) (pow s 2))
(/ 1/4 s)
(+ (* -1 (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 4))) (* 1/16 (/ 1 (pow s 3)))) (+ (* -1/16 (/ (fabs x) (pow s 4))) (* 5/48 (/ (fabs x) (pow s 4))))))) (* 1/4 (/ 1 s)))
(+ (* -1 (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 4))) (* 1/16 (/ 1 (pow s 3)))) (+ (* -1/16 (/ (fabs x) (pow s 4))) (* 5/48 (/ (fabs x) (pow s 4))))))) (* 1/4 (/ 1 s)))
(+ (* -1 (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 4))) (* 1/16 (/ 1 (pow s 3)))) (+ (* -1/16 (/ (fabs x) (pow s 4))) (* 5/48 (/ (fabs x) (pow s 4))))))) (* 1/4 (/ 1 s)))
(* -1 (/ (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) s))
(* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))
(* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))
(* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))
(* -1 (/ (* (pow x 2) (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3)))))) s))
(* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))
(* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))
(* (pow x 2) (+ (* -1 (/ (- (+ (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2)))) (+ (* -1/16 (/ (fabs x) (pow s 3))) (* 5/48 (/ (fabs x) (pow s 3))))) s)) (* 1/4 (/ 1 (* s (pow x 2))))))
(* -1 (/ (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 4)))
(/ (+ (* -1 (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))))) (* -1/16 (* s (pow x 2)))) (pow s 4))
(/ (+ (* -1 (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))))) (* s (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 4))
(/ (+ (* -1 (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x)))))) (* s (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 4))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)
(/ (+ 1/4 (+ (* -1 (/ (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))) (* -1/16 (/ (pow x 2) (pow s 2))))) s)
(/ (+ 1/4 (+ (* -1 (/ (- (* 1/24 (* (pow x 2) (fabs x))) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 5/48 (* (pow x 2) (fabs x))))) (pow s 3))) (* -1/16 (/ (pow x 2) (pow s 2))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (* (pow x 2) (fabs x))) (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x))))) (pow s 3))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (* (pow x 2) (fabs x))) (+ (* -5/48 (* (pow x 2) (fabs x))) (* 1/16 (* (pow x 2) (fabs x))))) (pow s 3))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2))
(* 1/6 (/ (* (pow x 2) (fabs x)) s))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) s)
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) s)
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) s)
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s)))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s)))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s)))
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s)))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s)))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s)))
(* -1/6 (/ (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s)))))) (pow s 2)))
(/ (+ (* -1/6 (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* 1/2 (* s (* (pow x 2) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) (pow s 2))
(/ (+ (* -1/6 (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* s (+ (* -1 (* s (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* 1/2 (* (pow x 2) (+ 1 (exp (* -1 (/ (fabs x) s))))))))) (pow s 2))
(/ (+ (* -1/6 (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* s (+ (* 1/2 (* (pow x 2) (+ 1 (exp (* -1 (/ (fabs x) s)))))) (* s (+ (* -1 (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s)))))) (* 2 (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))))))) (pow s 2))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1/2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/3 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))))
(* 4 s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow x 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow x 2) (fabs x)) s)) (+ (* 1/3 (/ (pow (fabs x) 3) s)) (+ (* 1/2 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (/ (pow (fabs x) 3) s)))))) s))) s)) 4)))
(* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s))))
(+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))))
(+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))))
(+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))))
(* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))))
(* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))
(* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))
(* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))
(* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))))
(* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))
(* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))
(* (pow x 2) (+ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))) (pow x 2))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s)))))
(+ (* -1 (/ (* (pow x 2) (* (exp (* -1 (/ (fabs x) s))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- 2 (/ (fabs x) s)) 2))))) (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 2 (/ (fabs x) s))))))
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(/ (- (+ (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))) (/ (* (exp (* -1 (/ (fabs x) s))) (pow (- 2 (/ (fabs x) s)) 2)) (* s (* (pow x 4) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 3)))))) (/ (* (exp (* -1 (/ (fabs x) s))) (- 2 (/ (fabs x) s))) (* s (* (pow x 2) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (pow (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))) 2)))))) (pow x 2))
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(* -6 (/ (* (pow s 2) (exp (* -1 (/ (fabs x) s)))) (* (pow x 2) (* (fabs x) (+ 1 (exp (* -1 (/ (fabs x) s))))))))
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(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow x 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/3 (* (pow x 2) (fabs x))) (* -1/3 (pow (fabs x) 3))))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow x 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2)))))) (* 1/16 (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/3 (* (pow x 2) (fabs x))) (* -1/3 (pow (fabs x) 3))))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/3 (* (pow x 2) (fabs x))) (* -1/3 (pow (fabs x) 3))))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/12 (pow (fabs x) 4)) (+ (* 1/6 (* (pow x 2) (pow (fabs x) 2))) (+ (* 1/6 (pow (fabs x) 4)) (* 1/4 (* (pow x 2) (pow (fabs x) 2)))))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow x 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2))))) (pow s 4))))))))) s)
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow x 2)))) (pow s 2))) 1/4) s))
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(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
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(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
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(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
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(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(* 1/24 (/ (fabs x) (pow s 3)))
(/ (+ (* -1/16 s) (* 1/24 (fabs x))) (pow s 3))
(/ (+ (* -1/16 s) (* 1/24 (fabs x))) (pow s 3))
(/ (+ (* -1/16 s) (* 1/24 (fabs x))) (pow s 3))
(/ -1/16 (pow s 2))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
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(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
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(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 2))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 2))
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(/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s)
(/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s)
(/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s)
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(* -1 (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s))
(* -1 (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s))
(* -1 (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 (fabs x)) (* 2 s)))))) (pow s 2))
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow x 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
(* 2 s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow x 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))) s)) 2)))
(* s (- 2 (/ (fabs x) s)))
(+ (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (- 2 (/ (fabs x) s))))
(+ (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (- 2 (/ (fabs x) s))))
(+ (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (- 2 (/ (fabs x) s))))
(* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)

Outputs
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) (neg.f32 s)))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) (neg.f32 s)))) s)
(/ (exp (- (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (/ (fabs x) s))) s)
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(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(- (* 1/24 (/ (fabs x) (pow s 3))) (* 1/16 (/ 1 (pow s 2))))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(* 1/24 (/ (fabs x) (pow s 3)))
(/.f32 (.f32 (fabs.f32 x) #s(literal 1/24 binary32)) (.f32 s (*.f32 s s)))
(/ (+ (* -1/16 s) (* 1/24 (fabs x))) (pow s 3))
(/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(/ (+ (* -1/16 s) (* 1/24 (fabs x))) (pow s 3))
(/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(/ (+ (* -1/16 s) (* 1/24 (fabs x))) (pow s 3))
(/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(/ -1/16 (pow s 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(/ -1/16 (pow s 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(/ (- (* 1/24 (/ (fabs x) s)) 1/16) (pow s 2))
(/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/24 binary32) #s(literal -1/16 binary32)) (*.f32 s s))
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (* (pow x 2) (- (* 1/6 (/ (fabs x) s)) 1/2)) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s s))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 2))
(/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/6 binary32)) (.f32 s (.f32 #s(literal -1/2 binary32) (.f32 x x)))) (.f32 s s))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 2))
(/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/6 binary32)) (.f32 s (.f32 #s(literal -1/2 binary32) (.f32 x x)))) (.f32 s s))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 2))
(/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/6 binary32)) (.f32 s (.f32 #s(literal -1/2 binary32) (.f32 x x)))) (.f32 s s))
(* -1/2 (/ (pow x 2) s))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) s)
(/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))) s)
(* -1/2 (/ (pow x 2) s))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) s)
(* -1 (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s))
(/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -1/6 binary32))) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s))
(/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -1/6 binary32))) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s))
(/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -1/6 binary32))) s)) (neg.f32 s))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -1/6 binary32))) (.f32 s s))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 s (.f32 #s(literal 1/2 binary32) (.f32 x x)))) (.f32 s s))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))))) (pow s 2))
(/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 s (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (.f32 (fabs.f32 x) (neg.f32 s))))) (.f32 s s))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 (fabs x)) (* 2 s)))))) (pow s 2))
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 (fabs.f32 x))) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 s s))
(* 2 s)
(*.f32 s #s(literal 2 binary32))
(* s (+ 2 (* -1 (/ (fabs x) s))))
(*.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow x 2) (pow s 2))))))
(.f32 s (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
(.f32 s (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 s s)))))
(* 2 s)
(*.f32 s #s(literal 2 binary32))
(* -1 (* s (- (/ (fabs x) s) 2)))
(*.f32 (+.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)) (neg.f32 s))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow x 2) s))) s)) 2)))
(neg.f32 (.f32 s (+.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x x) s) (neg.f32 (fabs.f32 x))) (neg.f32 s)) #s(literal -2 binary32))))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))) s)) 2)))
(.f32 (+.f32 (/.f32 (neg.f32 (fma.f32 (.f32 x x) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32) #s(literal -1/2 binary32)) s) (fabs.f32 x))) (neg.f32 s)) #s(literal -2 binary32)) (neg.f32 s))
(* s (- 2 (/ (fabs x) s)))
(*.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(+ (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (- 2 (/ (fabs x) s))))
(.f32 s (fma.f32 x (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (.f32 s s))))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(+ (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (- 2 (/ (fabs x) s))))
(.f32 s (fma.f32 x (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (.f32 s s))))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(+ (* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3)))))) (* s (- 2 (/ (fabs x) s))))
(.f32 s (fma.f32 x (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (.f32 s s))))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))
(.f32 s (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (*.f32 s s))))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(.f32 (.f32 x x) (.f32 s (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (.f32 s s)))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) (.f32 x x)))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(.f32 (.f32 x x) (.f32 s (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (.f32 s s)))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) (.f32 x x)))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(.f32 (.f32 x x) (.f32 s (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (.f32 s s)))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) (.f32 x x)))))
(* s (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))))
(.f32 s (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (*.f32 s s))))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(.f32 (.f32 x x) (.f32 s (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (.f32 s s)))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) (.f32 x x)))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(.f32 (.f32 x x) (.f32 s (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (.f32 s s)))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) (.f32 x x)))))
(* (pow x 2) (+ (* s (- (* 1/2 (/ 1 (pow s 2))) (* 1/6 (/ (fabs x) (pow s 3))))) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(.f32 (.f32 x x) (.f32 s (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (fabs.f32 x)) (.f32 s (.f32 s s)))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) (.f32 x x)))))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))
(/ (* (pow x 2) (fabs x)) s)
(.f32 x (/.f32 (.f32 x (fabs.f32 x)) s))

eval151.0ms (1.1%)

Memory: 33.5MiB live, 364.9MiB allocated
Compiler: Compiled 68 836 to 3 813 computations (94.5% saved)

prune220.0ms (1.7%)

Memory

-2.7MiB live, 370.7MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	1 256	9	1 265
Fresh	6	5	11
Picked	3	2	5
Done	0	2	2
Total	1 265	18	1 283

Accuracy

100.0%

Counts

1 283 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.4%	(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
▶	24.5%	(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
	19.3%	(/.f32 (fma.f32 s (.f32 s #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
▶	18.8%	(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
	98.5%	(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (.f32 (.f32 #s(literal 1/6 binary32) (fabs.f32 x)) (/.f32 (*.f32 x x) s))) s)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
	17.8%	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
	17.0%	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 5/48 binary32)) (.f32 s (.f32 (.f32 x x) #s(literal -1/16 binary32)))) (.f32 s (.f32 s s))))) (neg.f32 s))
	16.2%	(/.f32 (-.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s (.f32 s s))) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) (neg.f32 s))
	68.4%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/8 binary32) #s(literal 0 binary32)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
✓	99.8%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
▶	90.3%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s))))) s)
	79.2%	(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
✓	29.5%	(/.f32 #s(literal 1/4 binary32) s)
▶	99.4%	(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)))
▶	51.3%	(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	99.8%	(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	97.8%	(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))
✓	73.3%	#s(literal 0 binary32)

Compiler

Compiled 874 to 476 computations (45.5% saved)

simplify236.0ms (1.8%)

Memory

-5.0MiB live, 392.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s))))
✓	cost-diff	0	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s))))) s)
✓	cost-diff	64	(/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s)))
✓	cost-diff	3232	(exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s)))))
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s)
✓	cost-diff	64	(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	cost-diff	0	(fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (*.f32 x x)))
✓	cost-diff	0	(.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x))))
✓	cost-diff	256	(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
✓	cost-diff	320	(/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s)))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(/.f32 (.f32 x x) (.f32 s s))
✓	cost-diff	0	(fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
✓	cost-diff	0	(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
✓	cost-diff	0	(pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))
✓	cost-diff	3264	(.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
✓	cost-diff	13952	(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)))

Rules

3 520×	`accelerator-lowering-fma.f32`
3 520×	`accelerator-lowering-fma.f64`
3 414×	`/-lowering-/.f32`
3 414×	`/-lowering-/.f64`
3 296×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	371
1	128	358
2	360	353
3	1031	353
4	2561	352
5	4976	352
6	6565	352
0	8569	340

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2) (pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2))
(pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2)
(* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s))))
(pow (+ (exp (neg (/ (fabs x) s))) 1) 2)
(+ (exp (neg (/ (fabs x) s))) 1)
(exp (neg (/ (fabs x) s)))
(neg (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
1
2
(* s (exp (/ (fabs x) s)))
(exp (/ (fabs x) s))
-1/2
(/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s)
(+ (* (/ (* x x) (* s s)) -1/16) 1/4)
(/ (* x x) (* s s))
(* x x)
x
(* s s)
s
-1/16
1/4
(/ (/ (* s (+ (* (* s s) -1/4) (* 1/16 (* x x)))) (* s (* s s))) (neg s))
(/ (* s (+ (* (* s s) -1/4) (* 1/16 (* x x)))) (* s (* s s)))
(* s (+ (* (* s s) -1/4) (* 1/16 (* x x))))
s
(+ (* (* s s) -1/4) (* 1/16 (* x x)))
(* s s)
-1/4
(* 1/16 (* x x))
1/16
(* x x)
x
(* s (* s s))
(neg s)
(* (/ (+ (* (fabs x) (/ 1/4 s)) 1/4) s) (exp (neg (/ (fabs x) s))))
(/ (+ (* (fabs x) (/ 1/4 s)) 1/4) s)
(+ (* (fabs x) (/ 1/4 s)) 1/4)
(fabs x)
x
(/ 1/4 s)
1/4
s
(exp (neg (/ (fabs x) s)))
(neg (/ (fabs x) s))
(/ (fabs x) s)
(/ (exp (+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s))))) s)
(exp (+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s)))))
(+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s))))
-2
(log 2)
2
(/ (* 1/4 (* x x)) (neg (* s s)))
(* 1/4 (* x x))
1/4
(* x x)
x
(neg (* s s))
(* s s)
s

Outputs
(* (pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2) (pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2))
(/.f32 #s(literal 1 binary32) (+.f32 s (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)))
(pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2)
(pow.f32 (+.f32 s (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)) #s(literal -1/2 binary32))
(* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s))))
(+.f32 s (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s))
(pow (+ (exp (neg (/ (fabs x) s))) 1) 2)
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (exp (neg (/ (fabs x) s))) 1)
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
1
#s(literal 1 binary32)
2
#s(literal 2 binary32)
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
-1/2
#s(literal -1/2 binary32)
(/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s)
(/.f32 (fma.f32 (.f32 x (/.f32 x (.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(+ (* (/ (* x x) (* s s)) -1/16) 1/4)
(fma.f32 (.f32 x (/.f32 x (.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32))
(/ (* x x) (* s s))
(.f32 x (/.f32 x (.f32 s s)))
(* x x)
(*.f32 x x)
x
(* s s)
(*.f32 s s)
s
-1/16
#s(literal -1/16 binary32)
1/4
#s(literal 1/4 binary32)
(/ (/ (* s (+ (* (* s s) -1/4) (* 1/16 (* x x)))) (* s (* s s))) (neg s))
(/.f32 (fma.f32 (.f32 s s) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(/ (* s (+ (* (* s s) -1/4) (* 1/16 (* x x)))) (* s (* s s)))
(/.f32 (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s s))
(* s (+ (* (* s s) -1/4) (* 1/16 (* x x))))
(.f32 s (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32))))
s
(+ (* (* s s) -1/4) (* 1/16 (* x x)))
(fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (*.f32 s s) #s(literal -1/4 binary32)))
(* s s)
(*.f32 s s)
-1/4
#s(literal -1/4 binary32)
(* 1/16 (* x x))
(.f32 x (.f32 x #s(literal 1/16 binary32)))
1/16
#s(literal 1/16 binary32)
(* x x)
(*.f32 x x)
x
(* s (* s s))
(.f32 s (.f32 s s))
(neg s)
(neg.f32 s)
(* (/ (+ (* (fabs x) (/ 1/4 s)) 1/4) s) (exp (neg (/ (fabs x) s))))
(/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(/ (+ (* (fabs x) (/ 1/4 s)) 1/4) s)
(/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s)
(+ (* (fabs x) (/ 1/4 s)) 1/4)
(fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))
(fabs x)
(fabs.f32 x)
x
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(/ (exp (+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s))))) s)
(.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (.f32 x (.f32 x (/.f32 #s(literal -1/4 binary32) (.f32 s s))))))
(exp (+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s)))))
(.f32 #s(literal 1/4 binary32) (exp.f32 (.f32 x (.f32 x (/.f32 #s(literal -1/4 binary32) (.f32 s s))))))
(+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s))))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 x (.f32 x (/.f32 #s(literal -1/4 binary32) (*.f32 s s)))))
-2
#s(literal -2 binary32)
(log 2)
(log.f32 #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (* 1/4 (* x x)) (neg (* s s)))
(.f32 x (.f32 x (/.f32 #s(literal -1/4 binary32) (*.f32 s s))))
(* 1/4 (* x x))
(.f32 x (.f32 x #s(literal 1/4 binary32)))
1/4
#s(literal 1/4 binary32)
(* x x)
(*.f32 x x)
x
(neg (* s s))
(*.f32 s (neg.f32 s))
(* s s)
(*.f32 s s)
s

localize184.0ms (1.4%)

Memory

20.2MiB live, 247.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s)))))
✓	accuracy	99.9%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s))))) s)
✓	accuracy	99.1%	(.f32 #s(literal 1/4 binary32) (.f32 x x))
✓	accuracy	78.8%	(/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s)))
✓	accuracy	100.0%	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
✓	accuracy	99.7%	(/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s)
✓	accuracy	99.6%	(fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))
✓	accuracy	54.3%	(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	accuracy	99.7%	(.f32 s (.f32 s s))
✓	accuracy	98.8%	(.f32 #s(literal 1/16 binary32) (.f32 x x))
✓	accuracy	90.4%	(.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x))))
✓	accuracy	73.9%	(/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s)))
✓	accuracy	100.0%	(*.f32 s s)
✓	accuracy	99.9%	(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
✓	accuracy	99.7%	(fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32))
✓	accuracy	79.3%	(/.f32 (.f32 x x) (.f32 s s))
✓	accuracy	99.9%	(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
✓	accuracy	99.8%	(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
✓	accuracy	99.6%	(pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))
✓	accuracy	99.5%	(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)))

Samples

83.0ms

256×

valid

Compiler

Compiled 388 to 50 computations (87.1% saved)

Precisions

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

ival-mult: 17.0ms (27.8% of total)

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

ival-exp: 7.0ms (11.4% of total)

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

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

ival-log: 3.0ms (4.9% of total)

ival-neg: 3.0ms (4.9% of total)

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

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

exact: 1.0ms (1.6% of total)

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

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

series63.0ms (0.5%)

Memory

-10.7MiB live, 104.7MiB allocated

Counts

26 → 552

Calls

Call 1

Inputs
#<alt (* (pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2) (pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2))>
#<alt (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s))))>
#<alt (pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2)>
#<alt (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)>
#<alt (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s)>
#<alt (+ (* (/ (* x x) (* s s)) -1/16) 1/4)>
#<alt (/ (* x x) (* s s))>
#<alt (* x x)>
#<alt (/ (* s (+ (* (* s s) -1/4) (* 1/16 (* x x)))) (* s (* s s)))>
#<alt (/ (/ (* s (+ (* (* s s) -1/4) (* 1/16 (* x x)))) (* s (* s s))) (neg s))>
#<alt (* s (+ (* (* s s) -1/4) (* 1/16 (* x x))))>
#<alt (+ (* (* s s) -1/4) (* 1/16 (* x x)))>
#<alt (* (/ (+ (* (fabs x) (/ 1/4 s)) 1/4) s) (exp (neg (/ (fabs x) s))))>
#<alt (/ (+ (* (fabs x) (/ 1/4 s)) 1/4) s)>
#<alt (+ (* (fabs x) (/ 1/4 s)) 1/4)>
#<alt (fabs x)>
#<alt (exp (+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s)))))>
#<alt (/ (* 1/4 (* x x)) (neg (* s s)))>
#<alt (/ (exp (+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s))))) s)>
#<alt (+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s))))>
#<alt (* s (exp (/ (fabs x) s)))>
#<alt (* s s)>
#<alt (* 1/16 (* x x))>
#<alt (* s (* s s))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (* 1/4 (* x x))>

Outputs
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/16 (+ (* -2 (pow (fabs x) 3)) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 2)))))) s)>
#<alt (* -1/4 (/ (pow (sqrt -1) 2) s))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow (sqrt -1) 2) (+ (* -4 (fabs x)) (* 4 (fabs x)))) s)) (* 1/4 (pow (sqrt -1) 2))) s))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (sqrt -1) 2) (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) s)) (* 1/16 (/ (* (pow (sqrt -1) 2) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2)))) s))) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (fabs x)) (* 4 (fabs x)))))) s)) (* 1/4 (pow (sqrt -1) 2))) s))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -1/64 (* (pow (sqrt -1) 2) (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2))) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (+ (* -1/64 (/ (* (pow (sqrt -1) 2) (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/16 (/ (* (pow (sqrt -1) 2) (+ (* -1 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (pow (fabs x) 3)) (pow (fabs x) 3)))))) s)))) (+ (* -1/64 (* (pow (sqrt -1) 2) (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2))) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (fabs x)) (* 4 (fabs x)))))) s)) (* 1/4 (pow (sqrt -1) 2))) s))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (* 4 s)>
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s)))))>
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))>
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (+ (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))>
#<alt (* 4 s)>
#<alt (* -1 (* s (- (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s))) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -4 (/ (pow (fabs x) 2) s)) (+ (* -1 (+ (* -4 (fabs x)) (* 4 (fabs x)))) (+ (* 4 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s)))) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* -4 (fabs x)) (* 4 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -1 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (+ (* -2/3 (/ (pow (fabs x) 3) s)) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (+ (* 2 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s)))))) s))) s)) 4)))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))>
#<alt (* 1/2 (sqrt (/ 1 s)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (* 1/2 (sqrt (/ 1 s))))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow s 5))) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))) (+ (* -1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (* 1/2 (sqrt (/ 1 s))))))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow s 5))) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))) (+ (* -1 (* (sqrt (/ 1 (pow s 7))) (+ (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (pow (fabs x) 3)) (* 1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))))))) (+ (* -1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (+ (* -1/4 (* (sqrt (/ 1 (pow s 5))) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow s 5))) (pow (fabs x) 2))) (+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (* 1/2 (sqrt (/ 1 s)))))))))>
#<alt (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (* (fabs x) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 s)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2)))))) (* -1/4 (* (sqrt s) (fabs x)))) s)) (* -1/4 (* (sqrt (/ 1 s)) (* (fabs x) (pow (sqrt -1) 2))))) s)) (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 s)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2)))))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 s)) (* (pow (sqrt -1) 2) (+ (* -1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))) (+ (* -1/16 (pow (fabs x) 3)) (* 1/24 (pow (fabs x) 3))))))) (+ (* -1/4 (* (sqrt s) (+ (* -1/2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/8 (* (sqrt s) (pow (fabs x) 2))))) s)) (* -1/4 (* (sqrt s) (fabs x))))) s)) (* -1/4 (* (sqrt (/ 1 s)) (* (fabs x) (pow (sqrt -1) 2))))) s)) (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2))))>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)>
#<alt 4>
#<alt (+ 4 (* -4 (/ (fabs x) s)))>
#<alt (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))>
#<alt 4>
#<alt (+ 4 (* -4 (/ (fabs x) s)))>
#<alt (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))>
#<alt (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))>
#<alt (/ 1/4 s)>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (* -1/16 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* -1/16 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* -1/16 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))>
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))>
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))>
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/16 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/4 (pow s 2)) (* 1/16 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/4 (pow s 2)) (* 1/16 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/4 (pow s 2)) (* 1/16 (pow x 2))) (pow s 2))>
#<alt -1/4>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
#<alt -1/4>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
#<alt -1/4>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
#<alt (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)>
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#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (* 1/16 (pow x 2))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>

Calls

138 calls:

Time	Variable		Point	Expression
6.0ms	s	@	-inf	(* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s))))
3.0ms	x	@	0	(+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s))))
3.0ms	s	@	inf	(* (/ (+ (* (fabs x) (/ 1/4 s)) 1/4) s) (exp (neg (/ (fabs x) s))))
2.0ms	x	@	inf	(pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2)
2.0ms	x	@	-inf	(pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2)

rewrite413.0ms (3.1%)

Memory

41.9MiB live, 547.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 312×	`-lowering-.f32`
4 312×	`-lowering-.f64`
3 844×	`/-lowering-/.f32`
3 844×	`/-lowering-/.f64`
3 806×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	288
1	262	260
2	2075	260
0	8184	244

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 737

Calls

Call 1

Inputs
(* (pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2) (pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2))
(* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s))))
(pow (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (* s (exp (/ (fabs x) s)))) -1/2)
(pow (+ (exp (neg (/ (fabs x) s))) 1) 2)
(/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s)
(+ (* (/ (* x x) (* s s)) -1/16) 1/4)
(/ (* x x) (* s s))
(* x x)
(/ (* s (+ (* (* s s) -1/4) (* 1/16 (* x x)))) (* s (* s s)))
(/ (/ (* s (+ (* (* s s) -1/4) (* 1/16 (* x x)))) (* s (* s s))) (neg s))
(* s (+ (* (* s s) -1/4) (* 1/16 (* x x))))
(+ (* (* s s) -1/4) (* 1/16 (* x x)))
(* (/ (+ (* (fabs x) (/ 1/4 s)) 1/4) s) (exp (neg (/ (fabs x) s))))
(/ (+ (* (fabs x) (/ 1/4 s)) 1/4) s)
(+ (* (fabs x) (/ 1/4 s)) 1/4)
(fabs x)
(exp (+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s)))))
(/ (* 1/4 (* x x)) (neg (* s s)))
(/ (exp (+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s))))) s)
(+ (* -2 (log 2)) (/ (* 1/4 (* x x)) (neg (* s s))))
(* s (exp (/ (fabs x) s)))
(* s s)
(* 1/16 (* x x))
(* s (* s s))
(exp (neg (/ (fabs x) s)))
(* 1/4 (* x x))

Outputs
(exp.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))) #s(literal -1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s)))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s)))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))) (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))))))
(pow.f32 (*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal -1/4 binary32)) #s(literal 4 binary32))
(pow.f32 (.f32 (pow.f32 (.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s)))
(.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (/.f32 #s(literal 1 binary32) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 (.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s)) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 (.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s)) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (exp.f32 (+.f32 (/.f32 (fabs.f32 x) s) (.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal -1/4 binary32)) (pow.f32 (*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal -3/4 binary32)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s)) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal -2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)))) (pow.f32 (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal -3/4 binary32)) (pow.f32 (*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(.f32 (pow.f32 (.f32 (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))))
(.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 s #s(literal -1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(.f32 (pow.f32 (pow.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (.f32 (.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))))
(.f32 (pow.f32 (.f32 (.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/2 binary32))))
(exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))))
(.f32 s (exp.f32 (+.f32 (/.f32 (fabs.f32 x) s) (.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))))
(.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))))
(.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s)
(.f32 (.f32 (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (exp.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (log.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s)))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s)))) #s(literal -1/4 binary32)))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (/.f32 (fabs.f32 x) s))) s) #s(literal -1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s)))) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) #s(literal -1/2 binary32) (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s)) #s(literal -1/2 binary32))))
(exp.f32 (fma.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s)) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) #s(literal -1/2 binary32))))
(exp.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))) #s(literal -1/4 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))) #s(literal -1/4 binary32))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/4 binary32) (.f32 x (/.f32 x (.f32 s (neg.f32 s))))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal 1/4 binary32))) (.f32 (.f32 s s) (.f32 s s))) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/4 binary32) (.f32 x (/.f32 x (.f32 s (neg.f32 s))))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/4 binary32) (.f32 x (/.f32 x (.f32 s (neg.f32 s))))))) (/.f32 (pow.f32 (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/4 binary32) (.f32 x (/.f32 x (.f32 s (neg.f32 s))))))) (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal 1/4 binary32))) (.f32 (.f32 s s) (.f32 s s))) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/4 binary32) (.f32 x (/.f32 x (.f32 s (neg.f32 s))))))) (/.f32 (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal 1/4 binary32))) (.f32 (.f32 s s) (.f32 s s))) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/4 binary32) (.f32 x (/.f32 x (.f32 s (neg.f32 s))))))) (.f32 (/.f32 (pow.f32 (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/4 binary32) (.f32 x (/.f32 x (.f32 s (neg.f32 s))))))) (/.f32 (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal 1/4 binary32))) (.f32 (.f32 s s) (.f32 s s))) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/4 binary32) (.f32 x (/.f32 x (*.f32 s (neg.f32 s)))))))))))
(.f32 (fma.f32 #s(literal -1/64 binary32) (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (pow.f32 (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 s s)) (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 s s)) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))) (pow.f32 (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)))))
(.f32 (-.f32 (pow.f32 (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal 1/4 binary32))) (.f32 (.f32 s s) (.f32 s s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/4 binary32) (.f32 x (/.f32 x (*.f32 s (neg.f32 s))))))))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(neg.f32 (*.f32 s (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 s) #s(literal 2 binary32)))
(pow.f32 s #s(literal 2 binary32))
(pow.f32 (*.f32 s s) #s(literal 1 binary32))
(pow.f32 (neg.f32 s) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 s)) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 s)))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 s (.f32 s s)) (neg.f32 (.f32 s (.f32 s s))))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 s s) (.f32 s s) (.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 s))))))
(*.f32 s s)
(.f32 #s(literal 1 binary32) (.f32 s s))
(*.f32 (neg.f32 s) (neg.f32 s))
(.f32 #s(literal -1 binary32) (.f32 s (neg.f32 s)))
(*.f32 (exp.f32 (log.f32 s)) (exp.f32 (log.f32 s)))
(.f32 x (.f32 x #s(literal 1/16 binary32)))
(.f32 (.f32 x x) #s(literal 1/16 binary32))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 1/16 binary32)) x)
(neg.f32 (neg.f32 (.f32 s (.f32 s s))))
(exp.f32 (*.f32 (log.f32 s) #s(literal 3 binary32)))
(pow.f32 s #s(literal 3 binary32))
(pow.f32 (*.f32 s s) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 s #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 s)) #s(literal 3 binary32))
(.f32 s (.f32 s s))
(.f32 #s(literal 1 binary32) (.f32 s (*.f32 s s)))
(.f32 (.f32 s s) s)
(.f32 #s(literal -1 binary32) (neg.f32 (.f32 s (*.f32 s s))))
(*.f32 (pow.f32 s #s(literal 3/2 binary32)) (pow.f32 s #s(literal 3/2 binary32)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (fabs.f32 x) s)))
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (fabs.f32 x))) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(.f32 x (.f32 x #s(literal 1/4 binary32)))
(.f32 (.f32 x x) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 1/4 binary32)) x)

simplify373.0ms (2.8%)

Memory

-1.6MiB live, 734.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 174×	`accelerator-lowering-fma.f32`
8 174×	`accelerator-lowering-fma.f64`
4 114×	`-lowering-.f32`
4 114×	`-lowering-.f64`
3 590×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	586	7075
1	1777	6323
2	7647	6296
0	8114	6056

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/16 (+ (* -2 (pow (fabs x) 3)) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 2)))))) s)
(* -1/4 (/ (pow (sqrt -1) 2) s))
(* -1 (/ (+ (* 1/16 (/ (* (pow (sqrt -1) 2) (+ (* -4 (fabs x)) (* 4 (fabs x)))) s)) (* 1/4 (pow (sqrt -1) 2))) s))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (sqrt -1) 2) (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) s)) (* 1/16 (/ (* (pow (sqrt -1) 2) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2)))) s))) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (fabs x)) (* 4 (fabs x)))))) s)) (* 1/4 (pow (sqrt -1) 2))) s))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -1/64 (* (pow (sqrt -1) 2) (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2))) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (+ (* -1/64 (/ (* (pow (sqrt -1) 2) (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/16 (/ (* (pow (sqrt -1) 2) (+ (* -1 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (pow (fabs x) 3)) (pow (fabs x) 3)))))) s)))) (+ (* -1/64 (* (pow (sqrt -1) 2) (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2))) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (fabs x)) (* 4 (fabs x)))))) s)) (* 1/4 (pow (sqrt -1) 2))) s))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* 4 s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s)))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (+ (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))
(* 4 s)
(* -1 (* s (- (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s))) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (/ (pow (fabs x) 2) s)) (+ (* -1 (+ (* -4 (fabs x)) (* 4 (fabs x)))) (+ (* 4 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s)))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* -4 (fabs x)) (* 4 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -1 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (+ (* -2/3 (/ (pow (fabs x) 3) s)) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (+ (* 2 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s)))))) s))) s)) 4)))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(* 1/2 (sqrt (/ 1 s)))
(+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (* 1/2 (sqrt (/ 1 s))))
(+ (* -1 (* (sqrt (/ 1 (pow s 5))) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))) (+ (* -1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (* 1/2 (sqrt (/ 1 s))))))
(+ (* -1 (* (sqrt (/ 1 (pow s 5))) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))) (+ (* -1 (* (sqrt (/ 1 (pow s 7))) (+ (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (pow (fabs x) 3)) (* 1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))))))) (+ (* -1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (+ (* -1/4 (* (sqrt (/ 1 (pow s 5))) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow s 5))) (pow (fabs x) 2))) (+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (* 1/2 (sqrt (/ 1 s)))))))))
(* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2)))
(+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (* (fabs x) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 s)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2)))))) (* -1/4 (* (sqrt s) (fabs x)))) s)) (* -1/4 (* (sqrt (/ 1 s)) (* (fabs x) (pow (sqrt -1) 2))))) s)) (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 s)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2)))))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 s)) (* (pow (sqrt -1) 2) (+ (* -1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))) (+ (* -1/16 (pow (fabs x) 3)) (* 1/24 (pow (fabs x) 3))))))) (+ (* -1/4 (* (sqrt s) (+ (* -1/2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/8 (* (sqrt s) (pow (fabs x) 2))))) s)) (* -1/4 (* (sqrt s) (fabs x))))) s)) (* -1/4 (* (sqrt (/ 1 s)) (* (fabs x) (pow (sqrt -1) 2))))) s)) (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2))))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
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(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)
(/ (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 1/128 (/ (pow x 4) (pow s 4))))) s)
(/ (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (+ (* -1/1536 (/ (pow x 6) (pow s 6))) (* 1/128 (/ (pow x 4) (pow s 4)))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1/128 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))
(* -1 (/ (- (+ (* -1/128 (/ (pow x 4) (pow s 4))) (+ (* 1/1536 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))
(* -2 (log 2))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(* -1/4 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* -2 (/ (log 2) (pow x 2))) (* 1/4 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* -2 (/ (log 2) (pow x 2))) (* 1/4 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* -2 (/ (log 2) (pow x 2))) (* 1/4 (/ 1 (pow s 2)))))
(* -1/4 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* -2 (/ (log 2) (pow x 2))) (* 1/4 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* -2 (/ (log 2) (pow x 2))) (* 1/4 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* -2 (/ (log 2) (pow x 2))) (* 1/4 (/ 1 (pow s 2)))))
(* -1/4 (/ (pow x 2) (pow s 2)))
(/ (+ (* -2 (* (pow s 2) (log 2))) (* -1/4 (pow x 2))) (pow s 2))
(/ (+ (* -2 (* (pow s 2) (log 2))) (* -1/4 (pow x 2))) (pow s 2))
(/ (+ (* -2 (* (pow s 2) (log 2))) (* -1/4 (pow x 2))) (pow s 2))
(* -2 (log 2))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(* -2 (log 2))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
s
(* s (+ 1 (/ (fabs x) s)))
(* s (+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))
(* s (+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))))
s
(* -1 (* s (- (* -1 (/ (fabs x) s)) 1)))
(* -1 (* s (- (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1)))
(* -1 (* s (- (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(* s (exp (/ (fabs x) s)))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(* 1/16 (pow x 2))
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))

Outputs
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/16 binary32) (fma.f32 x x #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 s s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/16 (+ (* -2 (pow (fabs x) 3)) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 2)))))) s)
(/.f32 (-.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/16 binary32) (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal -3 binary32) (fma.f32 (.f32 (fabs.f32 x) #s(literal 3 binary32)) (.f32 x x) #s(literal 0 binary32))) #s(literal 0 binary32)) (.f32 s (.f32 s s)))) (/.f32 (.f32 #s(literal 1/16 binary32) (fma.f32 x x #s(literal 0 binary32))) (.f32 s s))) s)
(* -1/4 (/ (pow (sqrt -1) 2) s))
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (+ (* 1/16 (/ (* (pow (sqrt -1) 2) (+ (* -4 (fabs x)) (* 4 (fabs x)))) s)) (* 1/4 (pow (sqrt -1) 2))) s))
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (sqrt -1) 2) (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) s)) (* 1/16 (/ (* (pow (sqrt -1) 2) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2)))) s))) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (fabs x)) (* 4 (fabs x)))))) s)) (* 1/4 (pow (sqrt -1) 2))) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (fma.f32 x x #s(literal 0 binary32)) s) #s(literal 0 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -1/64 (* (pow (sqrt -1) 2) (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2))) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (+ (* -1/64 (/ (* (pow (sqrt -1) 2) (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/16 (/ (* (pow (sqrt -1) 2) (+ (* -1 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (pow (fabs x) 3)) (pow (fabs x) 3)))))) s)))) (+ (* -1/64 (* (pow (sqrt -1) 2) (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2))) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (* (pow (sqrt -1) 2) (+ (* -4 (fabs x)) (* 4 (fabs x)))))) s)) (* 1/4 (pow (sqrt -1) 2))) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (neg.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (fma.f32 (fabs.f32 x) (.f32 #s(literal -3 binary32) (.f32 x x)) (fma.f32 (.f32 (fabs.f32 x) #s(literal 3 binary32)) (.f32 x x) #s(literal 0 binary32))) s) (neg.f32 (fma.f32 #s(literal -1/16 binary32) (fma.f32 x x #s(literal 0 binary32)) #s(literal 0 binary32))))) (*.f32 s s))) (neg.f32 s))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s)))))
(*.f32 s #s(literal 4 binary32))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(.f32 s (+.f32 #s(literal 4 binary32) (fma.f32 #s(literal -4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (.f32 x x) (.f32 s s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 5 binary32) (/.f32 (.f32 (fabs.f32 x) #s(literal 4 binary32)) s)))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (+ (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))
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(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* -1 (* s (- (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s))) 4)))
(*.f32 s #s(literal 4 binary32))
(* -1 (* s (- (* -1 (/ (+ (* -4 (/ (pow (fabs x) 2) s)) (+ (* -1 (+ (* -4 (fabs x)) (* 4 (fabs x)))) (+ (* 4 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s)))) s)) 4)))
(neg.f32 (.f32 s (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal 5 binary32) (/.f32 (.f32 x x) s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -4 binary32) s) #s(literal 0 binary32))) s))))
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(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* (sqrt (/ 1 (* s (exp (/ (fabs x) s))))) (/ 1 (+ 1 (exp (neg (/ (fabs x) s))))))
(/.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(* 1/2 (sqrt (/ 1 s)))
(*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) s)))
(+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (* 1/2 (sqrt (/ 1 s))))
(fma.f32 (fabs.f32 x) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) s))))
(+ (* -1 (* (sqrt (/ 1 (pow s 5))) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))) (+ (* -1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (fabs x))) (* 1/2 (sqrt (/ 1 s))))))
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(* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal -1/2 binary32))
(+ (* 1/4 (* (sqrt (/ 1 (pow s 3))) (* (fabs x) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s)))) (.f32 (fabs.f32 x) #s(literal -1/4 binary32))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 s)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2)))))) (* -1/4 (* (sqrt s) (fabs x)))) s)) (* -1/4 (* (sqrt (/ 1 s)) (* (fabs x) (pow (sqrt -1) 2))))) s)) (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 s)) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2)))))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 s)) (* (pow (sqrt -1) 2) (+ (* -1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 2)) (* 1/8 (pow (fabs x) 2))))) (+ (* -1/16 (pow (fabs x) 3)) (* 1/24 (pow (fabs x) 3))))))) (+ (* -1/4 (* (sqrt s) (+ (* -1/2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/8 (* (sqrt s) (pow (fabs x) 2))))) s)) (* -1/4 (* (sqrt s) (fabs x))))) s)) (* -1/4 (* (sqrt (/ 1 s)) (* (fabs x) (pow (sqrt -1) 2))))) s)) (* 1/2 (* (sqrt (/ 1 s)) (pow (sqrt -1) 2))))
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(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
4
#s(literal 4 binary32)
(+ 4 (* -4 (/ (fabs x) s)))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))
(fma.f32 #s(literal 3 binary32) (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32)))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))
(+.f32 #s(literal 4 binary32) (fma.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -5/3 binary32) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) (/.f32 (.f32 #s(literal 3 binary32) (.f32 x x)) (*.f32 s s)))))
4
#s(literal 4 binary32)
(+ 4 (* -4 (/ (fabs x) s)))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 4 binary32) (/.f32 (.f32 #s(literal -3 binary32) (.f32 x x)) s)) s))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (/.f32 (.f32 #s(literal -5/3 binary32) (.f32 (fabs.f32 x) (.f32 x x))) s)) (neg.f32 s))) s))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
(* -1/16 (/ (pow x 2) (pow s 3)))
(/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 s (.f32 s s)))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 x x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s)))))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 x x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s)))))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 x x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s)))))
(* -1/16 (/ (pow x 2) (pow s 3)))
(/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 s (.f32 s s)))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 x x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s)))))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 x x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s)))))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 x x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s)))))
(* -1/16 (/ (pow x 2) (pow s 3)))
(/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 s (.f32 s s)))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))
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(* -1 (* s (- (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1)))
(.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) (neg.f32 s))
(* -1 (* s (- (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1)))
(.f32 s (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) #s(literal -1/6 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) s))))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (exp (/ (fabs x) s)))
(*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(* 1/16 (pow x 2))
(.f32 #s(literal 1/16 binary32) (.f32 x x))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(pow s 3)
(.f32 s (.f32 s s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))
(* 1/4 (pow x 2))
(.f32 #s(literal 1/4 binary32) (.f32 x x))

eval223.0ms (1.7%)

Memory: -12.2MiB live, 303.0MiB allocated
Compiler: Compiled 52 059 to 3 651 computations (93% saved)

prune189.0ms (1.4%)

Memory

-1.5MiB live, 471.1MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	1 767	9	1 776
Fresh	4	5	9
Picked	2	3	5
Done	0	4	4
Total	1 773	21	1 794

Accuracy

100.0%

Counts

1 794 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.4%	(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
	99.4%	(pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32))) #s(literal 2 binary32))
	29.3%	(/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
✓	24.5%	(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
	19.3%	(/.f32 (fma.f32 s (.f32 s #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
	19.0%	(/.f32 (/.f32 (/.f32 (.f32 s (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32)))) (*.f32 s s)) s) (neg.f32 s))
✓	18.8%	(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
	17.8%	(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
	27.9%	(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) #s(literal -1/12 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 s)) s)) (neg.f32 s))
	90.3%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 s s))) #s(literal 1/4 binary32)) s)
	98.9%	(/.f32 (exp.f32 (fma.f32 (/.f32 (.f32 x #s(literal 1/4 binary32)) (neg.f32 s)) (/.f32 x s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))) s)
	68.4%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/8 binary32) #s(literal 0 binary32)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
✓	99.8%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
	79.2%	(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
✓	29.5%	(/.f32 #s(literal 1/4 binary32) s)
	28.1%	(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
✓	51.3%	(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
✓	99.8%	(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	19.3%	(.f32 s (.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
	97.4%	(exp.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))) #s(literal -1 binary32)))
✓	73.3%	#s(literal 0 binary32)

Compiler

Compiled 1 533 to 512 computations (66.6% saved)

regimes68.0ms (0.5%)

Memory

-23.3MiB live, 153.3MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
(/.f32 (fma.f32 s (.f32 s #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s s))) #s(literal 0 binary32)) (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
(.f32 s (.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
(/.f32 (/.f32 (/.f32 (.f32 s (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32)))) (*.f32 s s)) s) (neg.f32 s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) #s(literal -1/12 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 s)) s)) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 s s))) #s(literal 1/4 binary32)) s)
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 5/48 binary32)) (.f32 s (.f32 (.f32 x x) #s(literal -1/16 binary32)))) (.f32 s (.f32 s s))))) (neg.f32 s))
(/.f32 (-.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s (.f32 s s))) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (.f32 s s)))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s))))))) (neg.f32 s))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s))))) s)
(/.f32 (exp.f32 (fma.f32 (/.f32 (.f32 x #s(literal 1/4 binary32)) (neg.f32 s)) (/.f32 x s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)))
(.f32 (neg.f32 (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 x x) (fma.f32 #s(literal 3/16 binary32) (.f32 x x) (neg.f32 (/.f32 (fma.f32 (fabs.f32 x) (fma.f32 #s(literal 1/4 binary32) (.f32 x x) (.f32 #s(literal -3/16 binary32) (.f32 x x))) (fma.f32 (fabs.f32 x) (.f32 #s(literal -3/16 binary32) (.f32 x x)) (.f32 (fabs.f32 x) (.f32 (*.f32 x x) #s(literal 5/48 binary32))))) s)))) (neg.f32 s))) s)) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/8 binary32) #s(literal 0 binary32)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s)) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (.f32 (.f32 #s(literal 1/6 binary32) (fabs.f32 x)) (/.f32 (*.f32 x x) s))) s)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (fma.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(exp.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 s))) #s(literal -1 binary32)))
(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))
(pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) (pow.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)))

Outputs
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)

Calls

5 calls:

15.0ms	s
14.0ms	(neg.f32 (fabs.f32 x))
12.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
11.0ms	x
11.0ms	(fabs.f32 x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`s`
99.9%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
99.9%	1	`(neg.f32 (fabs.f32 x))`
99.9%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes56.0ms (0.4%)

Memory

39.4MiB live, 114.4MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
(/.f32 (fma.f32 s (.f32 s #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s s))) #s(literal 0 binary32)) (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
(.f32 s (.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
(/.f32 (/.f32 (/.f32 (.f32 s (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32)))) (*.f32 s s)) s) (neg.f32 s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) #s(literal -1/12 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 s)) s)) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 s s))) #s(literal 1/4 binary32)) s)
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 5/48 binary32)) (.f32 s (.f32 (.f32 x x) #s(literal -1/16 binary32)))) (.f32 s (.f32 s s))))) (neg.f32 s))
(/.f32 (-.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s (.f32 s s))) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (.f32 s s)))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s))))))) (neg.f32 s))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s))))) s)
(/.f32 (exp.f32 (fma.f32 (/.f32 (.f32 x #s(literal 1/4 binary32)) (neg.f32 s)) (/.f32 x s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)))
(.f32 (neg.f32 (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 x x) (fma.f32 #s(literal 3/16 binary32) (.f32 x x) (neg.f32 (/.f32 (fma.f32 (fabs.f32 x) (fma.f32 #s(literal 1/4 binary32) (.f32 x x) (.f32 #s(literal -3/16 binary32) (.f32 x x))) (fma.f32 (fabs.f32 x) (.f32 #s(literal -3/16 binary32) (.f32 x x)) (.f32 (fabs.f32 x) (.f32 (*.f32 x x) #s(literal 5/48 binary32))))) s)))) (neg.f32 s))) s)) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/8 binary32) #s(literal 0 binary32)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s)) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (.f32 (.f32 #s(literal 1/6 binary32) (fabs.f32 x)) (/.f32 (*.f32 x x) s))) s)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (fma.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))

Outputs
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))

Calls

5 calls:

13.0ms	(neg.f32 (fabs.f32 x))
13.0ms	s
10.0ms	x
10.0ms	(fabs.f32 x)
8.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`s`
99.8%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
99.8%	1	`(neg.f32 (fabs.f32 x))`
99.8%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes64.0ms (0.5%)

Memory

-30.9MiB live, 124.3MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
(/.f32 (fma.f32 s (.f32 s #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s s))) #s(literal 0 binary32)) (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
(.f32 s (.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
(/.f32 (/.f32 (/.f32 (.f32 s (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32)))) (*.f32 s s)) s) (neg.f32 s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) #s(literal -1/12 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 s)) s)) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 s s))) #s(literal 1/4 binary32)) s)
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 5/48 binary32)) (.f32 s (.f32 (.f32 x x) #s(literal -1/16 binary32)))) (.f32 s (.f32 s s))))) (neg.f32 s))
(/.f32 (-.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s (.f32 s s))) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (.f32 s s)))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s))))))) (neg.f32 s))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s))))) s)
(/.f32 (exp.f32 (fma.f32 (/.f32 (.f32 x #s(literal 1/4 binary32)) (neg.f32 s)) (/.f32 x s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)))
(.f32 (neg.f32 (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 x x) (fma.f32 #s(literal 3/16 binary32) (.f32 x x) (neg.f32 (/.f32 (fma.f32 (fabs.f32 x) (fma.f32 #s(literal 1/4 binary32) (.f32 x x) (.f32 #s(literal -3/16 binary32) (.f32 x x))) (fma.f32 (fabs.f32 x) (.f32 #s(literal -3/16 binary32) (.f32 x x)) (.f32 (fabs.f32 x) (.f32 (*.f32 x x) #s(literal 5/48 binary32))))) s)))) (neg.f32 s))) s)) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/8 binary32) #s(literal 0 binary32)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s)) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (.f32 (.f32 #s(literal 1/6 binary32) (fabs.f32 x)) (/.f32 (*.f32 x x) s))) s)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (fma.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)

Outputs
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)

Calls

5 calls:

14.0ms	(fabs.f32 x)
13.0ms	(neg.f32 (fabs.f32 x))
13.0ms	s
10.0ms	x
8.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`s`
99.8%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
99.8%	1	`(neg.f32 (fabs.f32 x))`
99.8%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes91.0ms (0.7%)

Memory

6.8MiB live, 88.8MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
(/.f32 (fma.f32 s (.f32 s #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s s))) #s(literal 0 binary32)) (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
(.f32 s (.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
(/.f32 (/.f32 (/.f32 (.f32 s (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32)))) (*.f32 s s)) s) (neg.f32 s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) #s(literal -1/12 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 s)) s)) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 s s))) #s(literal 1/4 binary32)) s)
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 5/48 binary32)) (.f32 s (.f32 (.f32 x x) #s(literal -1/16 binary32)))) (.f32 s (.f32 s s))))) (neg.f32 s))
(/.f32 (-.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s (.f32 s s))) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (.f32 s s)))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s))))))) (neg.f32 s))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s))))) s)
(/.f32 (exp.f32 (fma.f32 (/.f32 (.f32 x #s(literal 1/4 binary32)) (neg.f32 s)) (/.f32 x s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)))
(.f32 (neg.f32 (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 x x) (fma.f32 #s(literal 3/16 binary32) (.f32 x x) (neg.f32 (/.f32 (fma.f32 (fabs.f32 x) (fma.f32 #s(literal 1/4 binary32) (.f32 x x) (.f32 #s(literal -3/16 binary32) (.f32 x x))) (fma.f32 (fabs.f32 x) (.f32 #s(literal -3/16 binary32) (.f32 x x)) (.f32 (fabs.f32 x) (.f32 (*.f32 x x) #s(literal 5/48 binary32))))) s)))) (neg.f32 s))) s)) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/8 binary32) #s(literal 0 binary32)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s)) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (.f32 (.f32 #s(literal 1/6 binary32) (fabs.f32 x)) (/.f32 (*.f32 x x) s))) s)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (fma.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Outputs
(/.f32 (exp.f32 (fma.f32 (/.f32 (.f32 x #s(literal 1/4 binary32)) (neg.f32 s)) (/.f32 x s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))) s)

Calls

5 calls:

36.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
25.0ms	x
9.0ms	s
9.0ms	(fabs.f32 x)
9.0ms	(neg.f32 (fabs.f32 x))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`s`
98.9%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
98.9%	1	`(neg.f32 (fabs.f32 x))`
98.9%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes40.0ms (0.3%)

Memory

20.2MiB live, 95.9MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
(/.f32 (fma.f32 s (.f32 s #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s s))) #s(literal 0 binary32)) (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
(.f32 s (.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
(/.f32 (/.f32 (/.f32 (.f32 s (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32)))) (*.f32 s s)) s) (neg.f32 s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) #s(literal -1/12 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 s)) s)) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 s s))) #s(literal 1/4 binary32)) s)
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 5/48 binary32)) (.f32 s (.f32 (.f32 x x) #s(literal -1/16 binary32)))) (.f32 s (.f32 s s))))) (neg.f32 s))
(/.f32 (-.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 x (.f32 x #s(literal 1/24 binary32)))) (.f32 s (.f32 s s))) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (.f32 s s))) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)))) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) (.f32 s (.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) #s(literal 1/4 binary32))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) #s(literal 1/4 binary32)) (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (.f32 s s)))))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 (.f32 x (.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/16 binary32) (.f32 s (.f32 s s))) (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal 5/48 binary32) (.f32 x (.f32 x (fabs.f32 x)))) (.f32 s (*.f32 s s))))))) (neg.f32 s))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) (neg.f32 (*.f32 s s))))) s)

Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))

Calls

5 calls:

9.0ms	s
8.0ms	(neg.f32 (fabs.f32 x))
8.0ms	(fabs.f32 x)
7.0ms	x
6.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
96.2%	1	`x`
96.2%	1	`s`
96.2%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
96.2%	1	`(neg.f32 (fabs.f32 x))`
96.2%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes31.0ms (0.2%)

Memory

-20.1MiB live, 58.5MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 0 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
(/.f32 (fma.f32 s (.f32 s #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s s))) #s(literal 0 binary32)) (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 (.f32 s (fma.f32 (.f32 s s) #s(literal -1/4 binary32) (.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 s (.f32 s s))) (neg.f32 s))
(.f32 s (.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
(/.f32 (/.f32 (/.f32 (.f32 s (fma.f32 x (.f32 x #s(literal 1/16 binary32)) (.f32 (.f32 s s) #s(literal -1/4 binary32)))) (*.f32 s s)) s) (neg.f32 s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) #s(literal -1/12 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 s)) s)) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/24 binary32) (.f32 s #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal 1/24 binary32))) (.f32 s (.f32 s s))) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)

Outputs
#s(literal 0 binary32)
(/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)

Calls

5 calls:

9.0ms	(fabs.f32 x)
6.0ms	x
5.0ms	(neg.f32 (fabs.f32 x))
5.0ms	s
4.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
89.6%	2	`x`
79.2%	1	`s`
98.8%	2	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
89.6%	2	`(neg.f32 (fabs.f32 x))`
89.6%	2	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 0 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32)) s)
(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
(/.f32 (fma.f32 s (.f32 s #s(literal 1/4 binary32)) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (.f32 s (*.f32 s s)))
(fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))

Outputs
#s(literal 0 binary32)
(/.f32 #s(literal 1/4 binary32) s)

Calls

1 calls:

2.0ms

(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes7.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)

Outputs
#s(literal 0 binary32)

Calls

5 calls:

1.0ms	(neg.f32 (fabs.f32 x))
1.0ms	x
1.0ms	(fabs.f32 x)
1.0ms	s
1.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
73.3%	1	`s`
73.3%	1	`x`
73.3%	1	`(fabs.f32 x)`
73.3%	1	`(neg.f32 (fabs.f32 x))`
73.3%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`

Compiler

Compiled 43 to 22 computations (48.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.3837618827819824

Compiler

Compiled 31 to 16 computations (48.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.3837618827819824

Compiler

Compiled 31 to 16 computations (48.4% saved)

simplify12.0ms (0.1%)

Memory

-9.3MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary32`
18×	`+-commutative_binary32`
14×	`neg-sub0_binary32`
14×	`neg-mul-1_binary32`
14×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	158
1	74	158
2	84	158
3	97	158
4	104	158
5	109	158
6	111	158

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (fma.f32 (/.f32 (.f32 x #s(literal 1/4 binary32)) (neg.f32 s)) (/.f32 x s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(literal 0 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) s))
#s(literal 0 binary32)

Outputs
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))) s)
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (fma.f32 (/.f32 (.f32 x #s(literal 1/4 binary32)) (neg.f32 s)) (/.f32 x s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))) s)
(/.f32 (exp.f32 (fma.f32 (neg.f32 (/.f32 (.f32 x #s(literal 1/4 binary32)) s)) (/.f32 x s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(literal 4 binary32)))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(literal 0 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
(if (<=.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))) #s(literal 0 binary32)) #s(literal 0 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) s))
(if (<=.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))) #s(literal 0 binary32)) #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) s))
#s(literal 0 binary32)

soundness1.2s (8.9%)

Memory

-21.8MiB live, 1 082.5MiB allocated

Rules

26 522×	`accelerator-lowering-fma.f32`
26 522×	`accelerator-lowering-fma.f64`
17 738×	`accelerator-lowering-fma.f32`
17 738×	`accelerator-lowering-fma.f64`
10 586×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	750	10386
1	2305	9395
0	8754	8956
0	11	74
1	66	60
2	465	59
3	5272	58
0	8217	58
0	46	321
1	312	306
2	3194	274
0	8644	260
0	474	7120
1	1486	6351
2	5617	5376
0	8640	5227
0	230	2020
1	701	1883
2	2302	1718
0	9060	1661
0	48	288
1	262	260
2	2075	260
0	8184	244

Stop Event

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

Compiler

Compiled 260 to 121 computations (53.5% saved)

preprocess48.0ms (0.4%)

Memory: -5.6MiB live, 145.5MiB allocated
Remove: (abs x)
Compiler: Compiled 586 to 232 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze59.0ms (0.4%)

sample1.8s (13.7%)

preprocess367.0ms (2.8%)

explain135.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify282.0ms (2.1%)

localize42.0ms (0.3%)

series21.0ms (0.2%)

rewrite336.0ms (2.6%)

simplify611.0ms (4.6%)

eval123.0ms (0.9%)

prune204.0ms (1.6%)

simplify727.0ms (5.5%)

localize496.0ms (3.8%)

series329.0ms (2.5%)

rewrite845.0ms (6.4%)

simplify516.0ms (3.9%)

eval156.0ms (1.2%)

prune208.0ms (1.6%)

simplify560.0ms (4.3%)

localize398.0ms (3%)

series183.0ms (1.4%)

rewrite704.0ms (5.3%)

simplify433.0ms (3.3%)

eval151.0ms (1.1%)

prune220.0ms (1.7%)

simplify236.0ms (1.8%)

localize184.0ms (1.4%)

series63.0ms (0.5%)

rewrite413.0ms (3.1%)

simplify373.0ms (2.8%)

eval223.0ms (1.7%)

prune189.0ms (1.4%)

regimes68.0ms (0.5%)

regimes56.0ms (0.4%)

regimes64.0ms (0.5%)

regimes91.0ms (0.7%)

regimes40.0ms (0.3%)

regimes31.0ms (0.2%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.2s (8.9%)

preprocess48.0ms (0.4%)

end0.0ms (0%)

Profiling