Metrics for Logistic function

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze76.0ms (1.2%)

Memory

-44.7MiB live, 60.7MiB allocated; 50ms collecting garbage

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 17 to 14 computations (17.6% saved)

sample1.4s (22.7%)

Memory

24.8MiB live, 1 187.8MiB allocated; 1.2s collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 906.0ms

ival-exp: 462.0ms (51% of total)

ival-div: 162.0ms (17.9% of total)

const: 116.0ms (12.8% of total)

ival-<=: 49.0ms (5.4% of total)

ival-add: 46.0ms (5.1% of total)

ival-neg: 43.0ms (4.7% of total)

ival-and: 12.0ms (1.3% of total)

exact: 11.0ms (1.2% of total)

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

adjust: 2.0ms (0.2% of total)

Bogosity

explain94.0ms (1.5%)

Memory

3.2MiB live, 94.0MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
1	0	-	0	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
1	1	(5.742688161252933e-31 5.056455806303273e-33)	1	(3.822336532738304e-22 5.802816248164618e-24)	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	0	-	0	-	`s`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
0	0	-	0	-	`(neg.f32 x)`
0	0	-	0	-	`(/.f32 (neg.f32 x) s)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`	n/o	1	0
↳	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`	overflow	88
↳	`(/.f32 (neg.f32 x) s)`	overflow	63
↳	`(exp.f32 (/.f32 (neg.f32 x) s))`	overflow	88
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	1	4

Confusion

	Predicted +	Predicted -
+	1	0
-	1	254

Precision

0.5

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	1	3	251

Precision?

0.2

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (39.6% of total)

ival-exp: 4.0ms (22.7% of total)

ival-add: 3.0ms (17% of total)

ival-neg: 3.0ms (17% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess193.0ms (3%)

Memory

-7.0MiB live, 128.2MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	50	41
2	104	41
3	247	41
4	883	41
0	8	9
0	13	9
1	21	9
2	43	9
3	118	9
4	427	9
5	4713	9
0	8515	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify177.0ms (2.8%)

Memory

16.6MiB live, 112.8MiB allocated; 17ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	30
1	21	30
2	43	30
3	118	30
4	427	30
5	4713	30
0	8515	30

Stop Event

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

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

-15.7MiB live, 28.6MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 x)
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.056015039073768064	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.06081974847004277	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Samples

18.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 7.0ms (58.9% of total)

ival-exp: 2.0ms (16.8% of total)

ival-add: 1.0ms (8.4% of total)

ival-neg: 1.0ms (8.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

5 → 29

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms	s	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms	s	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms	x	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))

simplify151.0ms (2.4%)

Memory

-20.3MiB live, 122.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	377
1	435	345
2	1799	341
0	9323	313

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))

rewrite43.0ms (0.7%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	27
1	43	27
0	254	27

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 46

Calls

Call 1

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

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (-.f32 (.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 x s))
(neg.f32 x)

eval10.0ms (0.2%)

Memory: -34.1MiB live, 10.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 143 to 253 computations (77.9% saved)

prune7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	56	11	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	12	68

Accuracy

99.9%

Counts

68 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.1%	(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	54.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	51.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
▶	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	43.7%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	99.8%	(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
▶	27.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
	31.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶	37.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 397 to 310 computations (21.9% saved)

simplify95.0ms (1.5%)

Memory

32.6MiB live, 120.8MiB allocated; 12ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 x s)
cost-diff	0	(pow.f32 (/.f32 x s) #s(literal 3 binary32))
cost-diff	0	(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
cost-diff	0	(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
cost-diff	0	(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 x s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff	0	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	0	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff	0	(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
cost-diff	1	(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	239
0	60	239
1	100	235
2	238	235
3	721	235
4	3047	235
0	8353	235

Stop Event

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

Calls

Call 1

Inputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(/.f32 x s)
x
s
#s(literal 3 binary32)
#s(literal -1/48 binary32)
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)

Outputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(/.f32 x s)
x
s
#s(literal 3 binary32)
#s(literal -1/48 binary32)
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)

localize290.0ms (4.5%)

Memory

-12.9MiB live, 231.6MiB allocated; 130ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.16900258791597816	(pow.f32 (/.f32 x s) #s(literal 3 binary32))
accuracy	0.1951367448317225	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
accuracy	4.679075721074003	(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
accuracy	14.313315431483954	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
accuracy	0.1171875	(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
accuracy	1.39090037434391	(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	4.195630860803931	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
accuracy	13.636092003738074	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	0.0	(/.f32 x s)
accuracy	0.03641378162065376	(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy	0.06081974847004277	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy	14.59121224574817	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy	11.82664690277614	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.0	(neg.f32 x)
accuracy	0.015625	(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
accuracy	0.056015039073768064	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	1.986755962978342	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

129.0ms	185×	0	valid
95.0ms	71×	5	exit

Compiler

Compiled 193 to 33 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 79.0ms (40.6% of total)

ival-div: 34.0ms (17.5% of total)

adjust: 31.0ms (15.9% of total)

ival-log1p: 17.0ms (8.7% of total)

ival-exp: 12.0ms (6.2% of total)

ival-pow: 6.0ms (3.1% of total)

ival-add: 6.0ms (3.1% of total)

const: 5.0ms (2.6% of total)

ival-sub: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series103.0ms (1.6%)

Memory

0.2MiB live, 127.8MiB allocated; 31ms collecting garbage

Counts

20 → 79

Calls

Call 1

Inputs
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(neg.f32 x)
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))

Outputs
(* -1 (log 2))
(+ (* -1 (log 2)) (* 1/2 (/ x s)))
(+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ x s)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/ (pow x 3) (pow s 3))
(* -1 x)
(* 1/2 (/ x (pow s 2)))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(+ 1 (exp (* -1 (/ x s))))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(/ (- (* 2 s) x) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ 1/2 (pow s 2))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (neg x) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2))
32.0ms	x	@	-inf	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (neg x) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2))
23.0ms	s	@	0	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (neg x) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2))
5.0ms	x	@	0	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (neg x) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2))
3.0ms	s	@	-inf	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (neg x) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2))

simplify160.0ms (2.5%)

Memory

22.6MiB live, 121.8MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	1167
1	1057	1024
2	4794	998
0	8676	940

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 79

Calls

Call 1

Inputs
(* -1 (log 2))
(+ (* -1 (log 2)) (* 1/2 (/ x s)))
(+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ x s)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/ (pow x 3) (pow s 3))
(* -1 x)
(* 1/2 (/ x (pow s 2)))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(+ 1 (exp (* -1 (/ x s))))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(/ (- (* 2 s) x) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ 1/2 (pow s 2))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))

Outputs
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(+ (* -1 (log 2)) (* 1/2 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x (neg.f32 (log.f32 #s(literal 2 binary32))))
(+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x (neg.f32 (log.f32 #s(literal 2 binary32))))
(+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) #s(literal 1/192 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 s s))) x (/.f32 #s(literal 1/2 binary32) s)) x (neg.f32 (log.f32 #s(literal 2 binary32))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/192 binary32) (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) x (/.f32 #s(literal -1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)
(/ (pow x 3) (pow s 3))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(* -1 x)
(neg.f32 x)
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x)
(* -1/48 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 s x) x)) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (.f32 x x)) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x)) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x)) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 s x) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x) x) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))))
(/ (- (* 2 s) x) s)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)) (*.f32 s s))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/.f32 (fma.f32 (.f32 (.f32 s x) s) #s(literal 1/4 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) x (.f32 #s(literal 1/2 binary32) s)) s) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ 1/2 (pow s 2))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))
(fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x (neg.f32 (log.f32 #s(literal 2 binary32))))
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))
(-.f32 (neg.f32 (log.f32 #s(literal 2 binary32))) (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/6 binary32) (.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(-.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/6 binary32) (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x (neg.f32 (log.f32 #s(literal 2 binary32))))
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))
(-.f32 (neg.f32 (log.f32 #s(literal 2 binary32))) (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/6 binary32) (.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/6 binary32) (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))

rewrite67.0ms (1%)

Memory

-6.2MiB live, 40.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	207
0	60	207
1	198	203
0	1398	203

Stop Event

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

Counts

20 → 192

Calls

Call 1

Inputs
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(neg.f32 x)
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))

Outputs
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(neg.f32 (*.f32 #s(literal 1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
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(/.f32 (-.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) #s(literal 1/4 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32))) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (-.f32 #s(literal 1/4 binary32) (.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/110592 binary32) (pow.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (pow.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(/.f32 (fma.f32 #s(literal -1/110592 binary32) (pow.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)) (.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))))
(/.f32 (fma.f32 #s(literal -1/110592 binary32) (pow.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (pow.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))))
(-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))
(-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal -1/48 binary32)))
(fma.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))))
(fma.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))) (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (/.f32 x s) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 x s)) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) #s(literal -1/48 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/48 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))))
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/48 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 x s)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))))
(+.f32 (fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (pow.f32 (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) #s(literal 1/2 binary32))
(+.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))))
(+.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))
(+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))))
(*.f32 (neg.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 x s))
(*.f32 (/.f32 x s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))
(/.f32 (*.f32 (neg.f32 x) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (neg.f32 s))
(/.f32 (*.f32 x (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s)
(/.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (neg.f32 x)) (neg.f32 s))
(/.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) x) s)
(/.f32 (neg.f32 (pow.f32 x #s(literal 3 binary32))) (neg.f32 (pow.f32 s #s(literal 3 binary32))))
(/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 s #s(literal 3 binary32)))
(pow.f32 (exp.f32 (log.f32 (/.f32 x s))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 (/.f32 x s)) #s(literal 3 binary32))) (sinh.f32 (.f32 (log.f32 (/.f32 x s)) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 x s)) #s(literal 3 binary32)))
(neg.f32 x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)))
(.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(/.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 (neg.f32 s) s))
(/.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) s)
(/.f32 (.f32 x #s(literal -1/2 binary32)) (.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) x)) (.f32 (neg.f32 s) s))
(/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))
(/.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) s)
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 s) s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))
(neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 s) s)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/4 binary32) (/.f32 x s))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))))
(/.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/4 binary32)) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
(-.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))
(fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+.f32 (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))))
(+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))

eval26.0ms (0.4%)

Memory: -12.0MiB live, 34.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 372 to 1 163 computations (84.2% saved)

prune14.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	257	9	266
Fresh	1	5	6
Picked	1	4	5
Done	0	1	1
Total	259	19	278

Accuracy

99.9%

Counts

278 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.1%	(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	54.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	55.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	51.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
✓	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
	16.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
	39.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
▶	31.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
	32.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	43.7%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	99.8%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	27.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
▶	31.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓	37.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 728 to 550 computations (24.5% saved)

simplify155.0ms (2.4%)

Memory

-19.9MiB live, 79.4MiB allocated; 14ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	1	(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
cost-diff	1	(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
cost-diff	2	(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
cost-diff	0	#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
cost-diff	2	(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
cost-diff	0	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	0	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff	0	(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
cost-diff	0	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	430
0	86	430
1	147	419
2	403	405
3	1454	405
4	6340	405
0	8299	388

Stop Event

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

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(-.f32 (*.f32 #s(literal 2 binary32) s) x)
(*.f32 #s(literal 2 binary32) s)
#s(literal 2 binary32)
s
x
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
x
#s(literal 1/2 binary32)
(*.f32 s x)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (.f32 s s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal -1/6 binary32) x) s)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
#s(approx (- 2 (/ x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(-.f32 (*.f32 #s(literal 2 binary32) s) x)
(*.f32 #s(literal 2 binary32) s)
#s(literal 2 binary32)
s
x
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s))
(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x s) (neg.f32 x))
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
x
#s(literal 1/2 binary32)
(*.f32 s x)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (.f32 s s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s)
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal -1/6 binary32) x) s)
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

localize271.0ms (4.2%)

Memory

-16.9MiB live, 154.0MiB allocated; 104ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.265625	(*.f32 #s(literal -1/6 binary32) x)
accuracy	1.2326525097919316	(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	3.9185176940304265	(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
accuracy	14.258895026044154	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	0.09152751984060395	(.f32 (.f32 x x) #s(literal 1/2 binary32))
accuracy	6.350387683673495	(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
accuracy	8.604217408041736	#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
accuracy	13.636092003738074	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
accuracy	0.0	#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
accuracy	0.03515625	(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
accuracy	0.06081974847004277	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
accuracy	14.59121224574817	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))
accuracy	0.0	(/.f32 x s)
accuracy	0.1951367448317225	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
accuracy	13.560098766350547	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
accuracy	0.0	(neg.f32 x)
accuracy	0.015625	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
accuracy	0.056015039073768064	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	1.986755962978342	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

184.0ms	71×	5	exit
55.0ms	185×	0	valid

Compiler

Compiled 281 to 44 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

adjust: 122.0ms (58% of total)

ival-div: 18.0ms (8.6% of total)

ival-log1p: 18.0ms (8.6% of total)

ival-mult: 18.0ms (8.6% of total)

ival-exp: 12.0ms (5.7% of total)

ival-add: 8.0ms (3.8% of total)

ival-sub: 6.0ms (2.9% of total)

const: 5.0ms (2.4% of total)

ival-neg: 4.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (1%)

Memory

-12.5MiB live, 36.0MiB allocated; 14ms collecting garbage

Counts

24 → 102

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(neg.f32 x)
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(*.f32 #s(literal -1/6 binary32) x)

Outputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ x s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (* s x))
(* x (- (* 1/2 x) s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(+ 1/2 (* -1/6 (/ x s)))
(* -1 x)
(* 1/2 (pow x 2))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 x)
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(+ 1 (exp (* -1 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* -1 x) (* 2 s)) s)
(/ (- (* 2 s) x) s)
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(* s (- (* 1/2 (/ (pow x 2) s)) x))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ (- (* 2 s) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x x) 1/2) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
11.0ms	x	@	-inf	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ (- (* 2 s) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x x) 1/2) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
10.0ms	s	@	0	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ (- (* 2 s) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x x) 1/2) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
4.0ms	x	@	0	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ (- (* 2 s) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x x) 1/2) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
3.0ms	s	@	-inf	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ (- (* 2 s) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x x) 1/2) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))

simplify174.0ms (2.7%)

Memory

-7.4MiB live, 135.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	408	1700
1	1372	1346
2	6860	1320
0	8381	1249

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 102

Calls

Call 1

Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ x s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (* s x))
(* x (- (* 1/2 x) s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(+ 1/2 (* -1/6 (/ x s)))
(* -1 x)
(* 1/2 (pow x 2))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 x)
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(+ 1 (exp (* -1 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* -1 x) (* 2 s)) s)
(/ (- (* 2 s) x) s)
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(* s (- (* 1/2 (/ (pow x 2) s)) x))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))

Outputs
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (log.f32 #s(literal 2 binary32)))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) x) s)) s) x) (log.f32 #s(literal 2 binary32)))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(-.f32 (.f32 (fma.f32 (fma.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) #s(literal 1/192 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s s))) x (/.f32 #s(literal 1/2 binary32) s)) x) (log.f32 #s(literal 2 binary32)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/192 binary32) (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) x (/.f32 #s(literal -1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(/ x s)
(/.f32 x s)
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(* -1 (* s x))
(*.f32 (neg.f32 s) x)
(* x (- (* 1/2 x) s))
(.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) s) x)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(.f32 (-.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* -1 x)
(neg.f32 x)
(* 1/2 (pow x 2))
(.f32 (.f32 #s(literal 1/2 binary32) x) x)
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
(* -1/6 x)
(*.f32 #s(literal -1/6 binary32) x)
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(.f32 (.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (.f32 x x))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* -1/6 (/ (pow x 2) (pow s 3)))
(.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/6 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 x))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* -1 x) (* 2 s)) s)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(/ (- (* 2 s) x) s)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(fma.f32 (neg.f32 x) s (.f32 (.f32 #s(literal 1/2 binary32) x) x))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) s) x) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) s) x (.f32 (*.f32 #s(literal -1/6 binary32) x) x)) (pow.f32 s #s(literal 3 binary32)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/4 binary32) (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 s #s(literal 3 binary32)))))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) x) s)) s) x) (log.f32 #s(literal 2 binary32)))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(-.f32 (.f32 #s(literal 0 binary32) x) (-.f32 (log.f32 #s(literal 2 binary32)) (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(-.f32 (log.f32 #s(literal 2 binary32)) (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) x) s)) s) x))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x)) (log.f32 #s(literal 2 binary32)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s)) s))
(* s (- (* 1/2 (/ (pow x 2) s)) x))
(.f32 (-.f32 (.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) x (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32)))) #s(literal 0 binary32)) s) (neg.f32 s))) s))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) x) s)) s) x) (log.f32 #s(literal 2 binary32)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(-.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (.f32 #s(literal -1/8 binary32) (.f32 x x))) s)) s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/8 binary32) x) s)) s) x))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (.f32 #s(literal -1/8 binary32) (.f32 x x))) s)) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s)) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 #s(literal 0 binary32) x)) #s(literal 0 binary32)) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s)) s))
(* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))
(.f32 (neg.f32 s) (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s))

rewrite97.0ms (1.5%)

Memory

11.5MiB live, 55.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	350
0	86	350
1	297	339
0	2212	331

Stop Event

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

Counts

24 → 241

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(neg.f32 x)
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(*.f32 #s(literal -1/6 binary32) x)

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (-.f32 (.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) (-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))
(/.f32 (-.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (fma.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(+.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (log1p.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (log1p.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/4 binary32) (/.f32 x s))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (-.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
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(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/12 binary32) (/.f32 x s)))))
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(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
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(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
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(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x)) (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)) (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) (*.f32 x #s(literal 2 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x)) (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)) (-.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32))))
(-.f32 #s(literal 2 binary32) (.f32 (neg.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s))) x))
(-.f32 #s(literal 2 binary32) (.f32 (neg.f32 x) (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 x (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))
(+.f32 (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x)) (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)))) (/.f32 #s(literal 8 binary32) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x)) (pow.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)))))
(+.f32 (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x)))
(neg.f32 x)
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))
(.f32 (.f32 #s(literal 1/2 binary32) (fabs.f32 x)) (fabs.f32 x))
(.f32 (.f32 #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 x))
(.f32 (.f32 #s(literal 1/2 binary32) x) x)
(.f32 (fabs.f32 x) (.f32 (fabs.f32 x) #s(literal 1/2 binary32)))
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(.f32 (neg.f32 x) (.f32 (neg.f32 x) #s(literal 1/2 binary32)))
(.f32 x (.f32 #s(literal 1/2 binary32) x))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (fabs.f32 s)) (/.f32 x (fabs.f32 s)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))
(*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x)
(.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s)))
(*.f32 x (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s)
(/.f32 (.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) (.f32 (neg.f32 s) s))
(/.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s)
(/.f32 (.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) (.f32 (neg.f32 s) s))
(/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s) (.f32 (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s) (.f32 x (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)) (.f32 (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)) (.f32 x (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (.f32 (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (.f32 x (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x (.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x (.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)) (.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)) (.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (.f32 (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (.f32 x (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 x #s(literal -1/6 binary32))

eval32.0ms (0.5%)

Memory: 0.5MiB live, 46.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 179 to 1 664 computations (85.1% saved)

prune22.0ms (0.3%)

Memory

10.5MiB live, 57.3MiB allocated; 3ms collecting garbage

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	317	12	329
Fresh	1	8	9
Picked	2	3	5
Done	0	5	5
Total	320	28	348

Accuracy

99.9%

Counts

348 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.1%	(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
▶	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	55.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	57.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	55.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	56.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	55.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	51.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
✓	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
	16.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
	28.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (fma.f32 (/.f32 x s) (/.f32 (.f32 #s(literal 1/2 binary32) x) s) (/.f32 (.f32 (neg.f32 s) x) (*.f32 s s))))))
	26.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
	12.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s s)) (.f32 (.f32 s s) (.f32 s x))) (.f32 (.f32 s s) (.f32 s s))))))
	30.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
	22.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
	32.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	43.7%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	99.8%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	27.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
✓	31.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	30.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
▶	30.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
▶	7.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
✓	37.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 315 to 951 computations (27.7% saved)

simplify177.0ms (2.8%)

Memory

-6.3MiB live, 135.1MiB allocated; 30ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
cost-diff	0	(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	0	#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))
cost-diff	0	(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
cost-diff	0	(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
cost-diff	0	(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
cost-diff	0	#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
cost-diff	0	(/.f32 x s)
cost-diff	0	(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
cost-diff	0	#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
cost-diff	0	(exp.f32 (/.f32 x s))
cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
cost-diff	1	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	468
0	82	465
1	130	465
2	247	465
3	593	465
4	1671	465
0	9365	454

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(/.f32 #s(literal -1/4 binary32) s)
#s(literal -1/4 binary32)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x)
(/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(/.f32 #s(literal -1/4 binary32) s)
#s(literal -1/4 binary32)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (/.f32 x s) s) #s(approx (+ 1/2 (/ ( -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (/.f32 x s) s) #s(approx (+ 1/2 (/ ( -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (-.f32 (.f32 (/.f32 (/.f32 x s) s) #s(approx (+ 1/2 (/ ( -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(-.f32 (.f32 (/.f32 (/.f32 x s) s) #s(approx (+ 1/2 (/ ( -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x)
(.f32 (/.f32 (/.f32 x s) s) #s(approx (+ 1/2 (/ ( -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))))
(/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

localize150.0ms (2.4%)

Memory

-16.6MiB live, 130.1MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.2326525097919316	(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	3.9185176940304265	(.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x)
accuracy	9.253398062973378	#s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
accuracy	14.258895026044154	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	0.06640625	(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
accuracy	0.10100773826221708	(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy	1.39090037434391	(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))
accuracy	13.636092003738074	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))
accuracy	0.0	#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))
accuracy	0.0625	(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
accuracy	0.1484375	(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
accuracy	13.560098766350547	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
accuracy	0.0	(/.f32 x s)
accuracy	0.1795117448317225	(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
accuracy	9.183592560700985	#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
accuracy	13.560098766350547	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
accuracy	0.03869879138909578	(exp.f32 (/.f32 x s))
accuracy	0.06081974847004277	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
accuracy	0.11193469781558595	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))

Samples

80.0ms	185×	0	valid
21.0ms	71×	0	exit

Compiler

Compiled 276 to 48 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 38.0ms (45.5% of total)

ival-div: 24.0ms (28.7% of total)

ival-add: 8.0ms (9.6% of total)

ival-exp: 4.0ms (4.8% of total)

const: 4.0ms (4.8% of total)

ival-sub: 3.0ms (3.6% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series59.0ms (0.9%)

Memory

17.3MiB live, 61.4MiB allocated; 8ms collecting garbage

Counts

24 → 100

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/.f32 x s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
#s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
(.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x)

Outputs
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (/ x s))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* 1/4 (/ x s))
(/ x s)
(/ 1/2 x)
(/ (+ 1/2 (* 1/4 (/ x s))) x)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
-1
(- (* 1/2 (/ x s)) 1)
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(/ 1/4 s)
(+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ 1/4 (* 1/2 (/ s x))) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s) (+ 1/2 (/ (* -1/6 x) s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x))
18.0ms	s	@	0	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s) (+ 1/2 (/ (* -1/6 x) s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x))
4.0ms	x	@	-inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s) (+ 1/2 (/ (* -1/6 x) s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x))
4.0ms	x	@	inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s) (+ 1/2 (/ (* -1/6 x) s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x))
4.0ms	s	@	-inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s) (+ 1/2 (/ (* -1/6 x) s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x))

simplify182.0ms (2.9%)

Memory

-20.9MiB live, 171.0MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	1592
1	1340	1371
2	5811	1365
0	8381	1290

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 100

Calls

Call 1

Inputs
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (/ x s))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* 1/4 (/ x s))
(/ x s)
(/ 1/2 x)
(/ (+ 1/2 (* 1/4 (/ x s))) x)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
-1
(- (* 1/2 (/ x s)) 1)
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(/ 1/4 s)
(+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ 1/4 (* 1/2 (/ s x))) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(+ 1 (/ x s))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(* 1/4 (/ x s))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/ x s)
(/.f32 x s)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/4 (/ x s))) x)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s)
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (.f32 x x))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x)
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/6 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (.f32 s s))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (neg.f32 x)) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/ (+ 1/4 (* 1/2 (/ s x))) s)
(/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) s) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) s (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) s (.f32 (*.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s (.f32 (.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32) (neg.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))))))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) (*.f32 #s(literal 0 binary32) x)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) s) (.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) x) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 0 binary32) x (.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/4 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s))) s))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) s) (.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) x) s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))

rewrite96.0ms (1.5%)

Memory

9.2MiB live, 55.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	404
0	82	401
1	291	401
0	1983	391

Stop Event

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

Counts

24 → 218

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/.f32 x s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
#s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
(.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x)

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

eval28.0ms (0.4%)

Memory: 39.1MiB live, 39.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 11 078 to 1 536 computations (86.1% saved)

prune49.0ms (0.8%)

Memory

-33.8MiB live, 69.0MiB allocated; 13ms collecting garbage

Pruning

36 alts after pruning (23 fresh and 13 done)

	Pruned	Kept	Total
New	302	12	314
Fresh	4	11	15
Picked	0	5	5
Done	0	8	8
Total	306	36	342

Accuracy

99.9%

Counts

342 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.1%	(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	60.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
	64.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
	63.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	57.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	51.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	57.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	54.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	55.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	56.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	54.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
✓	55.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
	53.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
✓	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓	39.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
	16.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
	28.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (fma.f32 (/.f32 x s) (/.f32 (.f32 #s(literal 1/2 binary32) x) s) (/.f32 (.f32 (neg.f32 s) x) (*.f32 s s))))))
	26.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
	12.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s s)) (.f32 (.f32 s s) (.f32 s x))) (.f32 (.f32 s s) (.f32 s s))))))
	30.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
	22.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
	32.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	43.7%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	99.8%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	27.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
✓	31.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	30.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
	30.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
✓	30.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
	36.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
✓	7.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
✓	37.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 2 174 to 1 000 computations (54% saved)

regimes77.0ms (1.2%)

Memory

23.5MiB live, 111.9MiB allocated; 14ms collecting garbage

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (fma.f32 (/.f32 x s) (/.f32 (.f32 #s(literal 1/2 binary32) x) s) (/.f32 (.f32 (neg.f32 s) x) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s s)) (.f32 (.f32 s s) (.f32 s x))) (.f32 (.f32 s s) (.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Calls

7 calls:

15.0ms	x
11.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
11.0ms	s
11.0ms	(neg.f32 x)
10.0ms	(/.f32 (neg.f32 x) s)

Results

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

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes78.0ms (1.2%)

Memory

5.0MiB live, 103.0MiB allocated; 20ms collecting garbage

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (fma.f32 (/.f32 x s) (/.f32 (.f32 #s(literal 1/2 binary32) x) s) (/.f32 (.f32 (neg.f32 s) x) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s s)) (.f32 (.f32 s s) (.f32 s x))) (.f32 (.f32 s s) (.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))

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

Calls

7 calls:

18.0ms	s
11.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
11.0ms	x
10.0ms	(neg.f32 x)
10.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
99.7%	1	`(neg.f32 x)`
99.7%	1	`(/.f32 (neg.f32 x) s)`
99.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.7%	1	`x`
99.7%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes97.0ms (1.5%)

Memory

-25.6MiB live, 119.5MiB allocated; 17ms collecting garbage

Counts

38 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (fma.f32 (/.f32 x s) (/.f32 (.f32 #s(literal 1/2 binary32) x) s) (/.f32 (.f32 (neg.f32 s) x) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s s)) (.f32 (.f32 s s) (.f32 s x))) (.f32 (.f32 s s) (.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))

Calls

7 calls:

39.0ms	(/.f32 (neg.f32 x) s)
12.0ms	s
10.0ms	(neg.f32 x)
9.0ms	x
9.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
93.8%	2	`(neg.f32 x)`
94.3%	2	`(/.f32 (neg.f32 x) s)`
94.3%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
94.3%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
94.3%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
93.8%	2	`x`
64.5%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes43.0ms (0.7%)

Memory

-3.7MiB live, 43.6MiB allocated; 2ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (fma.f32 (/.f32 x s) (/.f32 (.f32 #s(literal 1/2 binary32) x) s) (/.f32 (.f32 (neg.f32 s) x) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))

Calls

4 calls:

22.0ms	(/.f32 (neg.f32 x) s)
7.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
94.2%	2	`(/.f32 (neg.f32 x) s)`
94.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
94.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
94.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes64.0ms (1%)

Memory

9.8MiB live, 54.2MiB allocated; 6ms collecting garbage

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (fma.f32 (/.f32 x s) (/.f32 (.f32 #s(literal 1/2 binary32) x) s) (/.f32 (.f32 (neg.f32 s) x) (*.f32 s s))))))

Outputs

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

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))

Calls

6 calls:

30.0ms	(/.f32 (neg.f32 x) s)
7.0ms	x
7.0ms	(neg.f32 x)
6.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
92.8%	2	`(neg.f32 x)`
92.8%	2	`x`
93.8%	2	`(/.f32 (neg.f32 x) s)`
93.8%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
93.8%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
93.8%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes41.0ms (0.6%)

Memory

20.6MiB live, 63.9MiB allocated; 5ms collecting garbage

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))

Outputs

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

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))

Calls

6 calls:

10.0ms	(/.f32 (neg.f32 x) s)
7.0ms	x
7.0ms	(neg.f32 x)
5.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
91.8%	2	`(neg.f32 x)`
91.8%	2	`x`
92.6%	2	`(/.f32 (neg.f32 x) s)`
92.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
92.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
92.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes78.0ms (1.2%)

Memory

-13.1MiB live, 44.5MiB allocated; 22ms collecting garbage

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))

Outputs

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

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))

Calls

6 calls:

47.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms	(neg.f32 x)
7.0ms	x
6.0ms	(/.f32 (neg.f32 x) s)
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
90.1%	2	`(neg.f32 x)`
90.1%	2	`x`
89.9%	2	`(/.f32 (neg.f32 x) s)`
89.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
89.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
89.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes37.0ms (0.6%)

Memory

-6.8MiB live, 39.8MiB allocated; 3ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))

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

Calls

6 calls:

7.0ms	x
7.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms	(neg.f32 x)
6.0ms	(/.f32 (neg.f32 x) s)
5.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
88.2%	2	`(/.f32 (neg.f32 x) s)`
88.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
88.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
88.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
88.1%	2	`(neg.f32 x)`
88.1%	2	`x`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes31.0ms (0.5%)

Memory

0.1MiB live, 46.3MiB allocated; 3ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
87.0%	2	`x`
87.0%	2	`(neg.f32 x)`
87.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
87.8%	2	`(/.f32 (neg.f32 x) s)`
87.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
87.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes26.0ms (0.4%)

Memory

-5.4MiB live, 40.6MiB allocated; 3ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal -1/4 binary32) x)) x) s) x)))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))

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

Calls

6 calls:

7.0ms	x
4.0ms	(neg.f32 x)
4.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
78.1%	2	`(neg.f32 x)`
78.1%	2	`x`
79.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
79.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
79.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
79.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes29.0ms (0.5%)

Memory

-9.2MiB live, 39.4MiB allocated; 7ms collecting garbage

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s)))))

Outputs

#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

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

Calls

7 calls:

8.0ms	x
4.0ms	s
4.0ms	(neg.f32 x)
3.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
44.3%	2	`s`
52.5%	2	`x`
52.5%	2	`(neg.f32 x)`
53.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
53.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
53.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
53.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes21.0ms (0.3%)

Memory

-1.8MiB live, 45.7MiB allocated; 2ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))

Outputs

#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

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

Calls

6 calls:

5.0ms	x
3.0ms	(neg.f32 x)
3.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
47.6%	2	`x`
47.6%	2	`(neg.f32 x)`
48.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
48.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
48.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
48.1%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes9.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))

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

Calls

4 calls:

2.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
48.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
48.1%	2	`(/.f32 (neg.f32 x) s)`
48.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
48.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes13.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))

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

Calls

6 calls:

2.0ms	(neg.f32 x)
2.0ms	x
2.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
46.7%	2	`x`
46.7%	2	`(neg.f32 x)`
46.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
46.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
46.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
46.9%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes21.0ms (0.3%)

Memory

-32.7MiB live, 14.6MiB allocated; 2ms collecting garbage

Accuracy

Total -9.6b remaining (-47.6%)

Threshold costs -9.6b (-47.6%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))

Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Calls

7 calls:

10.0ms	(neg.f32 x)
2.0ms	x
2.0ms	s
2.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
37.1%	1	`s`
37.1%	1	`x`
37.1%	1	`(neg.f32 x)`
37.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
37.1%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
37.1%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
37.1%	1	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.40346163511276245	0.40555334091186523

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4142388506533265e-26	6.3569787016604096e-6

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4142388506533265e-26	6.3569787016604096e-6

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.498278945684433	0.4999849796295166

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-1.2057252002579566e-32	-4.506023229691044e-33

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1710119247436523	1.9941638708114624

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1339.021240234375	22653.533203125

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1339.021240234375	22653.533203125

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1339.021240234375	22653.533203125

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7660222053527832	-0.005853248760104179

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7660222053527832	-0.005853248760104179

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5542907118797302	4.161069869995117

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify54.0ms (0.8%)

Memory

-1.7MiB live, 42.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	692
1	192	688
2	317	688
3	645	688
4	1723	688

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13589545/33554432 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 6490371/162259276829213363391578010288128 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 6490371/162259276829213363391578010288128 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 8371831/16777216 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -13611295/1361129467683753853853498429727072845824 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13589545/33554432 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 6490371/162259276829213363391578010288128 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 6490371/162259276829213363391578010288128 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 8371831/16777216 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -13611295/1361129467683753853853498429727072845824 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 s) x)) (.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

derivations1.1s (16.6%)

Memory

32.3MiB live, 657.6MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	404
0	82	401
1	291	401
0	1983	391
0	323	1167
1	1057	1024
2	4794	998
0	8676	940
0	408	1700
1	1372	1346
2	6860	1320
0	8381	1249
0	140	377
1	435	345
2	1799	341
0	9323	313
0	37	207
0	60	207
1	198	203
0	1398	203
0	55	350
0	86	350
1	297	339
0	2212	331
0	389	1592
1	1340	1371
2	5811	1365
0	8381	1290
0	8	27
0	13	27
1	43	27
0	254	27

Stop Event

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

Compiler

Compiled 692 to 144 computations (79.2% saved)

preprocess55.0ms (0.9%)

Memory: -7.9MiB live, 83.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 402 to 304 computations (78.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze76.0ms (1.2%)

sample1.4s (22.7%)

explain94.0ms (1.5%)

preprocess193.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify177.0ms (2.8%)

localize24.0ms (0.4%)

series9.0ms (0.1%)

simplify151.0ms (2.4%)

rewrite43.0ms (0.7%)

eval10.0ms (0.2%)

prune7.0ms (0.1%)

simplify95.0ms (1.5%)

localize290.0ms (4.5%)

series103.0ms (1.6%)

simplify160.0ms (2.5%)

rewrite67.0ms (1%)

eval26.0ms (0.4%)

prune14.0ms (0.2%)

simplify155.0ms (2.4%)

localize271.0ms (4.2%)

series62.0ms (1%)

simplify174.0ms (2.7%)

rewrite97.0ms (1.5%)

eval32.0ms (0.5%)

prune22.0ms (0.3%)

simplify177.0ms (2.8%)

localize150.0ms (2.4%)

series59.0ms (0.9%)

simplify182.0ms (2.9%)

rewrite96.0ms (1.5%)

eval28.0ms (0.4%)

prune49.0ms (0.8%)

regimes77.0ms (1.2%)

regimes78.0ms (1.2%)

regimes97.0ms (1.5%)

regimes43.0ms (0.7%)

regimes64.0ms (1%)

regimes41.0ms (0.6%)

regimes78.0ms (1.2%)

regimes37.0ms (0.6%)

regimes31.0ms (0.5%)

regimes26.0ms (0.4%)

regimes29.0ms (0.5%)

regimes21.0ms (0.3%)

regimes9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes21.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify54.0ms (0.8%)

derivations1.1s (16.6%)

preprocess55.0ms (0.9%)

end0.0ms (0%)

Profiling