Metrics for Logistic function

start0.0ms (0%)

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

analyze60.0ms (1.8%)

Memory

-1.5MiB live, 51.4MiB allocated; 39ms 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)

sample717.0ms (21.8%)

Memory

4.7MiB live, 1 126.4MiB allocated; 169ms collecting garbage

Samples

455.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-div: 111.0ms (40.3% of total)

ival-exp: 70.0ms (25.4% of total)

ival-neg: 41.0ms (14.9% of total)

ival-add: 37.0ms (13.4% of total)

exact: 6.0ms (2.2% of total)

const: 4.0ms (1.5% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

ival-<=: 2.0ms (0.7% of total)

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

Bogosity

explain363.0ms (11%)

Memory

-2.2MiB live, 140.7MiB allocated; 4ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`s`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
5	(-8.922833618320022e-21 3.3308443188050425e-23)	-	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	-	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	-	-	`(neg.f32 x)`
0	-	-	`(/.f32 (neg.f32 x) s)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	5	1

Confusion

	Predicted +	Predicted -
+	0	1
-	5	250

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	5	0	250

Precision?

0.16666666666666666

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

122.0ms

512×

valid

Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (41.5% of total)

ival-exp: 4.0ms (23.7% of total)

ival-neg: 3.0ms (17.8% of total)

ival-add: 2.0ms (11.9% 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)

preprocess197.0ms (6%)

Memory

15.8MiB live, 302.3MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	50
1	59	50
2	118	50
3	335	50
4	1619	50
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

series11.0ms (0.3%)

Memory

-21.4MiB live, 25.9MiB allocated; 1ms collecting garbage

Counts

8 → 31

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
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	s	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
2.0ms	x	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
2.0ms	x	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
2.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
1.0ms	s	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)

rewrite155.0ms (4.7%)

Memory

20.6MiB live, 250.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	784
0	188	698
1	1084	691
0	8359	664

Stop Event

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

Counts

39 → 79

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
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))

Outputs
(*.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 (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)))
#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 (+.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) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.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 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.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 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(-.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 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.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 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 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)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (.f32 #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 2 binary32) s))
(/.f32 (*.f32 x #s(literal 1 binary32)) (neg.f32 s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(neg.f32 (*.f32 (/.f32 x s) #s(literal 1 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 (*.f32 x #s(literal 1 binary32)))
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#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 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 x 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)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 x (.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 x (.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/24 binary32) (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))
#s(approx (exp (/ (neg x) s)) (-.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.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(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.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(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))

eval7.0ms (0.2%)

Memory: 16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 453 to 357 computations (75.4% saved)

prune44.0ms (1.3%)

Memory

-10.3MiB live, 88.7MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	4	81

Accuracy

99.9%

Counts

81 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
✓	99.7%	(/.f32 #s(literal 1 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)))
▶	26.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))

Compiler

Compiled 83 to 58 computations (30.1% saved)

series132.0ms (4%)

Memory

3.6MiB live, 229.0MiB allocated; 35ms collecting garbage

Counts

38 → 116

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))
(/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s)
(fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x))
(/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (*.f32 x x) #s(literal 0 binary32)))) s)
(fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (*.f32 x x) #s(literal 0 binary32))))
(.f32 x (.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32)))
x
(.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))
(/.f32 (*.f32 x x) s)
(*.f32 x x)
s
#s(literal 0 binary32)
#s(literal -1/2 binary32)
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))
(/.f32 (pow.f32 x #s(literal 3 binary32)) s)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal -1/48 binary32)
(.f32 (.f32 x x) #s(literal 0 binary32))
#s(literal -1 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
#s(literal 1/2 binary32)
(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)
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 #s(literal -1 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
#s(literal 2 binary32)

Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) #s(hole binary32 (* -1/4 (/ x s))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) #s(hole binary32 (* x (- (* 1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) #s(hole binary32 (* -1/4 x)))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) #s(hole binary32 (* x (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4))))
#s(approx (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 2)))))
#s(approx (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) #s(hole binary32 (* -1/48 (/ (pow x 3) s))))
#s(approx (* x (* (/ (* x x) s) 0)) #s(hole binary32 0))
#s(approx x #s(hole binary32 x))
#s(approx (* (/ (* x x) s) 0) #s(hole binary32 0))
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0)) #s(hole binary32 (* -1/48 (/ (pow x 3) s))))
#s(approx (/ (pow x 3) s) #s(hole binary32 (/ (pow x 3) s)))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (* (* x x) 0) #s(hole binary32 0))
#s(approx (* -1/4 x) #s(hole binary32 (* -1/4 x)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole 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)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole 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)))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) #s(hole binary32 (* 1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) #s(hole binary32 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2))))))))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) #s(hole binary32 (* 1/48 (/ (pow x 3) (pow s 2)))))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) #s(hole binary32 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (pow (exp (* -1/2 (/ x s))) 2))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ x s)))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2))))))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) #s(hole binary32 (/ (+ (* -1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 3))))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) #s(hole binary32 (/ (+ (* -1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 2))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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))))))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) #s(hole binary32 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) #s(hole binary32 (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2))))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole 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))))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole 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)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole 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))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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))))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) #s(hole binary32 (* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole 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)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole 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)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole 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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) (* x (* (/ (* x x) s) 0)) x (* (/ (* x x) s) 0) (/ (* x x) s) (* x x) s 0 -1/2 (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0)) (/ (pow x 3) s) (pow x 3) 3 -1/48 (* (* x x) 0) -1 (* -1/4 x) -1/4 1/2 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) (/ x s) 2)
39.0ms	x	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) (* x (* (/ (* x x) s) 0)) x (* (/ (* x x) s) 0) (/ (* x x) s) (* x x) s 0 -1/2 (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0)) (/ (pow x 3) s) (pow x 3) 3 -1/48 (* (* x x) 0) -1 (* -1/4 x) -1/4 1/2 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) (/ x s) 2)
23.0ms	s	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) (* x (* (/ (* x x) s) 0)) x (* (/ (* x x) s) 0) (/ (* x x) s) (* x x) s 0 -1/2 (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0)) (/ (pow x 3) s) (pow x 3) 3 -1/48 (* (* x x) 0) -1 (* -1/4 x) -1/4 1/2 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) (/ x s) 2)
7.0ms	s	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) (* x (* (/ (* x x) s) 0)) x (* (/ (* x x) s) 0) (/ (* x x) s) (* x x) s 0 -1/2 (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0)) (/ (pow x 3) s) (pow x 3) 3 -1/48 (* (* x x) 0) -1 (* -1/4 x) -1/4 1/2 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) (/ x s) 2)
7.0ms	x	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) (* x (* (/ (* x x) s) 0)) x (* (/ (* x x) s) 0) (/ (* x x) s) (* x x) s 0 -1/2 (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0)) (/ (pow x 3) s) (pow x 3) 3 -1/48 (* (* x x) 0) -1 (* -1/4 x) -1/4 1/2 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) (/ x s) 2)

rewrite214.0ms (6.5%)

Memory

13.0MiB live, 302.4MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	541	4332
0	591	3262
1	3300	3222
0	8092	3092

Stop Event

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

Counts

154 → 335

Calls

Call 1

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

Outputs
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 1/8 binary32)) (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal 1/2 binary32))
(+.f32 (.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.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))) s)) s (.f32 s (.f32 #s(literal -1/4 binary32) x))) (.f32 s s))
(/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (*.f32 #s(literal -1/4 binary32) x))) (neg.f32 s))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.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))) s) (*.f32 #s(literal -1/4 binary32) x)) s)
(+.f32 (/.f32 (.f32 #s(literal -1 binary32) (/.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))) s)) s) (.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -1 binary32) (/.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))) s)) #s(literal 2 binary32)) (pow.f32 (.f32 #s(literal -1/4 binary32) x) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal -1 binary32) (/.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))) s)) (.f32 #s(literal -1/4 binary32) x)))
(/.f32 (fma.f32 (pow.f32 (/.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))) s) #s(literal 3 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (pow.f32 (.f32 #s(literal -1 binary32) (/.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))) s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal -1/4 binary32) x) #s(literal 2 binary32)) (.f32 (.f32 #s(literal -1 binary32) (/.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))) s)) (.f32 #s(literal -1/4 binary32) x)))))
(-.f32 (.f32 #s(literal -1 binary32) (/.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))) s)) (.f32 #s(literal 1/4 binary32) x))
(fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal -1 binary32) (/.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))) s)))
(fma.f32 #s(literal -1 binary32) (/.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))) s) (*.f32 #s(literal -1/4 binary32) x))
(fma.f32 (/.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))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x))
(fma.f32 x #s(literal -1/4 binary32) (*.f32 #s(literal -1 binary32) (/.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))) s)))
(+.f32 (.f32 #s(literal -1 binary32) (/.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))) s)) (.f32 #s(literal -1/4 binary32) x))
(+.f32 (.f32 #s(literal -1/4 binary32) x) (.f32 #s(literal -1 binary32) (/.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))) s)))
(/.f32 (fma.f32 (neg.f32 (.f32 #s(literal 0 binary32) x)) s (.f32 (neg.f32 s) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32)))) (*.f32 (neg.f32 s) s))
(/.f32 (fma.f32 (.f32 #s(literal 0 binary32) x) s (.f32 s (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32)))) (*.f32 s s))
(/.f32 (neg.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))
(/.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))) s)
(fma.f32 (.f32 x (.f32 x (/.f32 x s))) #s(literal 0 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32)) s))
(fma.f32 (*.f32 #s(literal 0 binary32) x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32)) s))
(fma.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 0 binary32) x) (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32)) s))
(fma.f32 #s(literal 0 binary32) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32)) s))
(fma.f32 x #s(literal 0 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32)) s))
(+.f32 (*.f32 #s(literal 0 binary32) x) (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32)) s))
(/.f32 (fma.f32 (-.f32 (pow.f32 (.f32 #s(literal 0 binary32) x) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) (.f32 #s(literal 1/8 binary32) (.f32 x x))) s) (.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (-.f32 (pow.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (/.f32 x s))) #s(literal 2 binary32)) (pow.f32 (.f32 #s(literal 1/8 binary32) (.f32 x (/.f32 x s))) #s(literal 2 binary32))))) (.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (/.f32 (-.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) (.f32 #s(literal 1/8 binary32) (.f32 x x))) s)))
(/.f32 (fma.f32 (-.f32 (pow.f32 (.f32 #s(literal 0 binary32) x) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32)) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (-.f32 (pow.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal 2 binary32)) (pow.f32 (.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 2 binary32))))) (.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (-.f32 (.f32 #s(literal -1/8 binary32) (.f32 x x)) (.f32 #s(literal 1/8 binary32) (.f32 x x)))))
(/.f32 (fma.f32 (-.f32 (pow.f32 (.f32 #s(literal 0 binary32) x) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32)) #s(literal 2 binary32))) (+.f32 (pow.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (/.f32 x s))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal 1/8 binary32) (.f32 x (/.f32 x s))) #s(literal 2 binary32)) (.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (/.f32 x s))) (.f32 #s(literal 1/8 binary32) (.f32 x (/.f32 x s)))))) (.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (fma.f32 #s(literal -1/512 binary32) (pow.f32 (.f32 x (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/8 binary32) (.f32 x (/.f32 x s))) #s(literal 3 binary32))))) (.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (+.f32 (pow.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (/.f32 x s))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal 1/8 binary32) (.f32 x (/.f32 x s))) #s(literal 2 binary32)) (.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (/.f32 x s))) (.f32 #s(literal 1/8 binary32) (*.f32 x (/.f32 x s))))))))
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#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (neg.f32 (.f32 (-.f32 (.f32 (pow.f32 s #s(literal -3 binary32)) #s(literal 1/48 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (neg.f32 (.f32 (fma.f32 (pow.f32 s #s(literal -3 binary32)) #s(literal 1/48 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) (.f32 x x)))) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) (neg.f32 (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s)) (.f32 (pow.f32 s #s(literal -3 binary32)) #s(literal 1/48 binary32))) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) (neg.f32 (.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -2 binary32)))) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (/.f32 (fma.f32 (.f32 (.f32 s s) x) #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))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (/.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) x (.f32 #s(literal 1/2 binary32) s)) (.f32 s s) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32))))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) (/.f32 (fma.f32 (.f32 (.f32 s s) x) #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))))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) (/.f32 (fma.f32 (.f32 (.f32 s s) x) #s(literal -1/4 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (.f32 s s)))
#s(approx s s)
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) (.f32 s s)) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) #s(literal -1/4 binary32))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 #s(literal 0 binary32) x))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s s)))))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 s s)) #s(literal 1/48 binary32) (.f32 #s(literal -1/4 binary32) x)) s))
#s(approx (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 s s)) #s(literal 1/48 binary32) (.f32 #s(literal -1/4 binary32) x)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) (.f32 s s)) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) #s(literal -1/4 binary32))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 #s(literal 0 binary32) x))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (.f32 s s)) #s(literal -1/2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (.f32 s s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))) (log.f32 #s(literal 1/2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (.f32 s s)) #s(literal 1/2 binary32) (.f32 (/.f32 x s) #s(literal -1/2 binary32))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)) (*.f32 s s)))) (log.f32 #s(literal 2 binary32))))
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) (.f32 s s)) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) #s(literal -1/4 binary32))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32)) (-.f32 (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) #s(literal 1/4 binary32)) (.f32 #s(literal 0 binary32) x))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) (/.f32 #s(literal 0 binary32) (.f32 s s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/8 binary32) (fma.f32 #s(literal -1/24 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 x x)) (*.f32 s s))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 x x)) (*.f32 s s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (fma.f32 (/.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)) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) -1) 1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 s s)) #s(literal 1/48 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (+ (* (/ (+ (* (* x (* (/ (* x x) s) 0)) -1/2) (+ (* (/ (pow x 3) s) -1/48) (* (* x x) 0))) s) -1) (* -1/4 x)) s) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 s s)) #s(literal -1/48 binary32) (.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (fma.f32 (/.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)) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)) s) #s(literal 1/4 binary32) (.f32 #s(literal -1/16 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)))) #s(literal 0 binary32)) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)) s))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x (/.f32 x s)) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x x) (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) s))) s) #s(literal -1 binary32) #s(literal 1 binary32)))

eval48.0ms (1.5%)

Memory: 18.6MiB live, 109.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 18 488 to 2 284 computations (87.6% saved)

prune449.0ms (13.7%)

Memory

-2.7MiB live, 860.5MiB allocated; 41ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	406	1	407
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	406	5	411

Accuracy

99.9%

Counts

411 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
✓	99.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
✓	99.7%	(/.f32 #s(literal 1 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)))
✓	26.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))

Compiler

Compiled 106 to 73 computations (31.1% saved)

series40.0ms (1.2%)

Memory

-27.0MiB live, 67.9MiB allocated; 3ms collecting garbage

Counts

15 → 44

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(cosh.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(sinh.f32 #s(literal 1 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 #s(literal -1 binary32))

Outputs
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (* x (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))))) (* 1/4 (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s)))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))
5.0ms	s	@	-inf	((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))
4.0ms	s	@	inf	((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))
4.0ms	x	@	0	((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))
2.0ms	x	@	-inf	((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))

rewrite162.0ms (4.9%)

Memory

21.1MiB live, 254.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	374	4462
0	388	3344
1	2544	3134
0	8510	3022

Stop Event

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

Counts

59 → 126

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(cosh.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(sinh.f32 #s(literal 1 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (* x (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))))) (* 1/4 (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s)))))))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))) (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))) (+ (* -1/8 (* (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))) (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))) (* 1/4 (- (+ (* -1/16 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 3))) (+ (* 1/48 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3) (pow s 3))) (* 1/16 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 3))))) (* 1/48 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))))) (* 1/4 (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s)))))))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))) (* x (- (+ (* -1/16 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 3))) (+ (* 1/48 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3) (pow s 3))) (* 1/16 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 3))))) (* 1/48 (/ 1 (pow s 3)))))))))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)))))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* 1/48 (/ (* x (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) (pow s 3))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))))))
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (/ (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s)))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s)))))
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#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))
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#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))))
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#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) s)))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) 2) s)) (* 1/4 (/ (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))) s))) (* 1/4 (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)))) s)))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) (+ (* -1/8 (pow (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))))) s)) (+ (* -1/8 (/ (* (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))) s)) (* 1/4 (/ (+ (* -1/16 (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* -1/48 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3))) (+ (* 1/48 (pow x 3)) (* 1/16 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))))) s)))) (+ (* -1/8 (pow (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))))) s)) (* 1/4 (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)))) s)))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) s)))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))) s)) (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x))) s)))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* -1/48 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3))) (+ (* 1/48 (pow x 3)) (* 1/16 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))))) s)) (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))) s)) (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x))) s)))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* -1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) s))) s)))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))) s)) (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))

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

eval60.0ms (1.8%)

Memory: -26.2MiB live, 36.1MiB allocated; 73ms collecting garbage
Compiler: Compiled 5 428 to 625 computations (88.5% saved)

prune129.0ms (3.9%)

Memory

7.6MiB live, 201.3MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	120	5	125

Accuracy

100.0%

Counts

125 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
▶	99.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (E.f32) (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
✓	99.7%	(/.f32 #s(literal 1 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)))
✓	26.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))

Compiler

Compiled 107 to 76 computations (29% saved)

series19.0ms (0.6%)

Memory

-15.1MiB live, 32.3MiB allocated; 1ms collecting garbage

Counts

14 → 45

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (E.f32) (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (E.f32) (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (E.f32) (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(E.f32)
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
#s(literal -1 binary32)
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 #s(literal -1 binary32))

Outputs
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (* x (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))))))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (+ (* 1/4 (/ (log (E)) (pow s 2))) (* 1/8 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s)))))))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/4 (/ (log (E)) (pow s 2))))))) (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))))) (+ (* -1/8 (* (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (+ (* 1/4 (/ (log (E)) (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))))) (* 1/4 (- (+ (* -1/16 (/ (log (E)) (pow s 3))) (+ (* -1/16 (/ (pow (log (E)) 2) (pow s 3))) (* -1/48 (/ (pow (log (E)) 3) (pow s 3))))) (* 1/48 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (+ (* 1/4 (/ (log (E)) (pow s 2))) (* 1/8 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s)))))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* -1/2 (/ (log (E)) s)) (* x (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/4 (/ (log (E)) (pow s 2))))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* -1/2 (/ (log (E)) s)) (* x (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (+ (* 1/4 (/ (log (E)) (pow s 2))) (* x (- (+ (* -1/16 (/ (log (E)) (pow s 3))) (+ (* -1/16 (/ (pow (log (E)) 2) (pow s 3))) (* -1/48 (/ (pow (log (E)) 3) (pow s 3))))) (* 1/48 (/ 1 (pow s 3)))))))))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 1))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* -1/2 (/ (* x (log (E))) s)))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* x (+ (* -1/2 (/ (log (E)) s)) (* 1/8 (/ (* x (pow (log (E)) 2)) (pow s 2))))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* x (+ (* -1/2 (/ (log (E)) s)) (* x (+ (* -1/48 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))))))))
#s(approx (* -1 (/ (/ x s) 2)) #s(hole binary32 (* -1/2 (/ x s))))
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* -1/2 (/ (* x (log (E))) s))))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* -1/2 (/ (* x (log (E))) s)))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (exp (* -1/2 (/ (* x (log (E))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (/ (+ (* -1/2 x) (* -1/2 (* x (log (E))))) s)))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 x) (* -1/2 (* x (log (E))))) 2)) (* 1/4 (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 x) (* -1/2 (* x (log (E))))) s)))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -1/2 x) (* -1/2 (* x (log (E))))) (+ (* -1/8 (pow (+ (* -1/2 x) (* -1/2 (* x (log (E))))) 2)) (* 1/4 (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))))))) (+ (* -1/8 (* (+ (* -1/2 x) (* -1/2 (* x (log (E))))) (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))))) (* 1/4 (+ (* -1/16 (* (pow x 3) (log (E)))) (+ (* -1/16 (* (pow x 3) (pow (log (E)) 2))) (+ (* -1/48 (* (pow x 3) (pow (log (E)) 3))) (* -1/48 (pow x 3)))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -1/2 x) (* -1/2 (* x (log (E))))) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -1/2 x) (* -1/2 (* x (log (E))))) s)) (* 1/4 (/ (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))) (pow s 2))))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (* -1/2 (/ (* x (log (E))) s))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (+ (* -1/2 (/ (* x (log (E))) s)) (+ (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (* (pow x 2) (log (E))) (pow s 2))))))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (+ (* -1/2 (/ (* x (log (E))) s)) (+ (* -1/16 (/ (* (pow x 3) (log (E))) (pow s 3))) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 2)) (pow s 3))) (+ (* -1/48 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (* (pow x 2) (log (E))) (pow s 2))))))))))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (* x (log (E))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (* x (log (E))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ (+ (* 1/2 x) (* 1/2 (* x (log (E))))) s)))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* 1/2 x) (* 1/2 (* x (log (E))))) 2) s)) (* 1/4 (/ (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))) s))) (* 1/4 (+ (* 1/2 x) (* 1/2 (* x (log (E))))))) s)))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (+ (* 1/2 x) (* 1/2 (* x (log (E))))) 2)) (* 1/4 (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))))) (+ (* 1/2 x) (* 1/2 (* x (log (E)))))) s)) (+ (* -1/8 (/ (* (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))) (+ (* 1/2 x) (* 1/2 (* x (log (E)))))) s)) (* 1/4 (/ (+ (* 1/48 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/48 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (* 1/16 (* (pow x 3) (pow (log (E)) 2)))))) s)))) (+ (* -1/8 (pow (+ (* 1/2 x) (* 1/2 (* x (log (E))))) 2)) (* 1/4 (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E))))))))) s)) (* 1/4 (+ (* 1/2 x) (* 1/2 (* x (log (E))))))) s)))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* 1/2 x) (* 1/2 (* x (log (E))))) s)))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))) s)) (+ (* 1/2 x) (* 1/2 (* x (log (E)))))) s)))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/48 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (* 1/16 (* (pow x 3) (pow (log (E)) 2)))))) s)) (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E))))))) s)) (+ (* 1/2 x) (* 1/2 (* x (log (E)))))) s)))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/2 (* x (log (E))))) s)))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) s)) (* 1/2 (* x (log (E))))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	s	@	inf	((/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (E) (* -1 (/ (/ x s) 2))) (E) (* -1 (/ (/ x s) 2)) -1 (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))
4.0ms	s	@	-inf	((/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (E) (* -1 (/ (/ x s) 2))) (E) (* -1 (/ (/ x s) 2)) -1 (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))
3.0ms	x	@	0	((/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (E) (* -1 (/ (/ x s) 2))) (E) (* -1 (/ (/ x s) 2)) -1 (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))
2.0ms	x	@	inf	((/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (E) (* -1 (/ (/ x s) 2))) (E) (* -1 (/ (/ x s) 2)) -1 (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))
2.0ms	x	@	-inf	((/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (E) (* -1 (/ (/ x s) 2))) (E) (* -1 (/ (/ x s) 2)) -1 (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1))

rewrite155.0ms (4.7%)

Memory

10.3MiB live, 244.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	2498
0	386	2023
1	2662	1865
0	8644	1761

Stop Event

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

Counts

59 → 138

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (E.f32) (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (E.f32) (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (E.f32) (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(E.f32)
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
#s(literal -1 binary32)
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (* x (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))))))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (+ (* 1/4 (/ (log (E)) (pow s 2))) (* 1/8 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s)))))))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/4 (/ (log (E)) (pow s 2))))))) (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))))) (+ (* -1/8 (* (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (+ (* 1/4 (/ (log (E)) (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))))) (* 1/4 (- (+ (* -1/16 (/ (log (E)) (pow s 3))) (+ (* -1/16 (/ (pow (log (E)) 2) (pow s 3))) (* -1/48 (/ (pow (log (E)) 3) (pow s 3))))) (* 1/48 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (+ (* 1/4 (/ (log (E)) (pow s 2))) (* 1/8 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s)))))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* -1/2 (/ (log (E)) s)) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* -1/2 (/ (log (E)) s)) (* x (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/4 (/ (log (E)) (pow s 2))))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* -1/2 (/ (log (E)) s)) (* x (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (E)) 2) (pow s 2))) (+ (* 1/4 (/ (log (E)) (pow s 2))) (* x (- (+ (* -1/16 (/ (log (E)) (pow s 3))) (+ (* -1/16 (/ (pow (log (E)) 2) (pow s 3))) (* -1/48 (/ (pow (log (E)) 3) (pow s 3))))) (* 1/48 (/ 1 (pow s 3)))))))))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 1))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* -1/2 (/ (* x (log (E))) s)))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* x (+ (* -1/2 (/ (log (E)) s)) (* 1/8 (/ (* x (pow (log (E)) 2)) (pow s 2))))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* x (+ (* -1/2 (/ (log (E)) s)) (* x (+ (* -1/48 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))))))))
#s(approx (* -1 (/ (/ x s) 2)) #s(hole binary32 (* -1/2 (/ x s))))
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* -1/2 (/ (* x (log (E))) s))))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* -1/2 (/ (* x (log (E))) s)))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (exp (* -1/2 (/ (* x (log (E))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (/ (+ (* -1/2 x) (* -1/2 (* x (log (E))))) s)))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 x) (* -1/2 (* x (log (E))))) 2)) (* 1/4 (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 x) (* -1/2 (* x (log (E))))) s)))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -1/2 x) (* -1/2 (* x (log (E))))) (+ (* -1/8 (pow (+ (* -1/2 x) (* -1/2 (* x (log (E))))) 2)) (* 1/4 (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))))))) (+ (* -1/8 (* (+ (* -1/2 x) (* -1/2 (* x (log (E))))) (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))))) (* 1/4 (+ (* -1/16 (* (pow x 3) (log (E)))) (+ (* -1/16 (* (pow x 3) (pow (log (E)) 2))) (+ (* -1/48 (* (pow x 3) (pow (log (E)) 3))) (* -1/48 (pow x 3)))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -1/2 x) (* -1/2 (* x (log (E))))) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -1/2 x) (* -1/2 (* x (log (E))))) s)) (* 1/4 (/ (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))) (pow s 2))))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (* -1/2 (/ (* x (log (E))) s))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (+ (* -1/2 (/ (* x (log (E))) s)) (+ (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (* (pow x 2) (log (E))) (pow s 2))))))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (+ (* -1/2 (/ (* x (log (E))) s)) (+ (* -1/16 (/ (* (pow x 3) (log (E))) (pow s 3))) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 2)) (pow s 3))) (+ (* -1/48 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (* (pow x 2) (log (E))) (pow s 2))))))))))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (* x (log (E))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (* x (log (E))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ (+ (* 1/2 x) (* 1/2 (* x (log (E))))) s)))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* 1/2 x) (* 1/2 (* x (log (E))))) 2) s)) (* 1/4 (/ (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))) s))) (* 1/4 (+ (* 1/2 x) (* 1/2 (* x (log (E))))))) s)))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (+ (* 1/2 x) (* 1/2 (* x (log (E))))) 2)) (* 1/4 (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))))) (+ (* 1/2 x) (* 1/2 (* x (log (E)))))) s)) (+ (* -1/8 (/ (* (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))) (+ (* 1/2 x) (* 1/2 (* x (log (E)))))) s)) (* 1/4 (/ (+ (* 1/48 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/48 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (* 1/16 (* (pow x 3) (pow (log (E)) 2)))))) s)))) (+ (* -1/8 (pow (+ (* 1/2 x) (* 1/2 (* x (log (E))))) 2)) (* 1/4 (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E))))))))) s)) (* 1/4 (+ (* 1/2 x) (* 1/2 (* x (log (E))))))) s)))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* 1/2 x) (* 1/2 (* x (log (E))))) s)))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E)))))) s)) (+ (* 1/2 x) (* 1/2 (* x (log (E)))))) s)))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/48 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (* 1/16 (* (pow x 3) (pow (log (E)) 2)))))) s)) (+ (* 1/8 (* (pow x 2) (pow (log (E)) 2))) (+ (* 1/8 (pow x 2)) (* 1/4 (* (pow x 2) (log (E))))))) s)) (+ (* 1/2 x) (* 1/2 (* x (log (E)))))) s)))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/2 (* x (log (E))))) s)))))
#s(approx (pow (E) (* -1 (/ (/ x s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) s)) (* 1/2 (* x (log (E))))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))

Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (.f32 (log1p.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (pow.f32 (.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(fma.f32 (sqrt.f32 (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 x s)))) (sqrt.f32 (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(+.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(*.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (pow.f32 (E.f32) (/.f32 (neg.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (E.f32) (/.f32 (neg.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(*.f32 (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))))
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#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 x (.f32 x #s(literal 1 binary32))) #s(literal 2 binary32))) #s(literal -1/8 binary32) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) #s(literal 1/4 binary32))) (.f32 s s)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 x (*.f32 x #s(literal 1 binary32)))) s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32))))) (fma.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 x (.f32 x #s(literal 1 binary32))) #s(literal 2 binary32))) #s(literal -1/8 binary32) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) #s(literal 1/4 binary32))) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) (.f32 #s(literal -1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32))))) #s(literal -1/8 binary32) (.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32) (fma.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32) (.f32 #s(literal -1/48 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/4 binary32)))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 (pow.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) s) #s(literal 2 binary32)) #s(literal -1/8 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) s) (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) (*.f32 s s)))))))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) s) #s(literal 2 binary32)))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) s) (fma.f32 (.f32 (.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/8 binary32) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32))))) #s(literal 2 binary32)))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) s) (fma.f32 (pow.f32 (.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 3 binary32)) #s(literal -1/16 binary32) (fma.f32 (pow.f32 (.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 3 binary32)) #s(literal -1/16 binary32) (fma.f32 (pow.f32 (.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (.f32 (.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/8 binary32) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/8 binary32) (.f32 (.f32 (.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32))))))))) #s(literal 2 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 (.f32 (.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/8 binary32) (.f32 (.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 (.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/8 binary32) (.f32 (pow.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 3 binary32)) #s(literal -1/48 binary32)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 x x) #s(literal 1/8 binary32)) (*.f32 s s))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/8 binary32)) (*.f32 s s)))))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) s) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 x (.f32 x #s(literal 1 binary32))) #s(literal 2 binary32))) s) #s(literal -1/8 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) #s(literal 1/4 binary32))) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 x (.f32 x #s(literal 1 binary32))) #s(literal 2 binary32))) #s(literal -1/8 binary32) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) #s(literal 1/4 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) s)) #s(literal -1/2 binary32) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) s)) #s(literal -1/8 binary32) (.f32 (/.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)))) s) #s(literal 1/4 binary32)))) (fma.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 x (.f32 x #s(literal 1 binary32))) #s(literal 2 binary32))) #s(literal -1/8 binary32) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32)))) #s(literal 1/4 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 x (*.f32 x #s(literal 1 binary32)))))) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32)))) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (*.f32 x x) #s(literal 1/8 binary32)))) s))) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (pow (E) (* -1 (/ (/ x s) 2))) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 x (.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)))) s) #s(literal -1 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/4 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32))))) s))) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) s) #s(literal -1/8 binary32) (.f32 (.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32))) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1 binary32)) #s(literal 1/8 binary32) (.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) s) #s(literal -1/48 binary32))) s))) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/8 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 1/8 binary32))) s))) s) #s(literal -1 binary32) #s(literal 1 binary32)))

eval14.0ms (0.4%)

Memory: 32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 159 to 612 computations (85.3% saved)

prune169.0ms (5.1%)

Memory

-41.7MiB live, 300.2MiB allocated; 8ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	127	5	132

Accuracy

100.0%

Counts

132 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
✓	99.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (E.f32) (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
✓	99.7%	(/.f32 #s(literal 1 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)))
✓	26.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))

Compiler

Compiled 234 to 133 computations (43.2% saved)

regimes22.0ms (0.7%)

Memory

3.2MiB live, 50.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (E.f32) (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))

Outputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))

Calls

7 calls:

4.0ms	s
4.0ms	x
3.0ms	(+.f32 #s(literal 1 binary32) (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))))
2.0ms	(/.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)

regimes8.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

7 calls:

2.0ms	s
1.0ms	(neg.f32 x)
1.0ms	x
1.0ms	(/.f32 (neg.f32 x) s)
1.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
26.2%	1	`(neg.f32 x)`
26.2%	1	`(/.f32 (neg.f32 x) s)`
26.2%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
26.2%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
26.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
26.2%	1	`x`
26.2%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

simplify40.0ms (1.2%)

Memory

-11.1MiB live, 36.6MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	54
1	48	54
2	76	54
3	161	54
4	465	54
5	4318	54

Stop Event

1×	node limit

Calls

Call 1

Inputs

(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))

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

Outputs

(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))

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

derivations51.0ms (1.6%)

Memory

-18.1MiB live, 78.8MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 54 to 36 computations (33.3% saved)

preprocess16.0ms (0.5%)

Memory: 41.5MiB live, 41.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 126 to 88 computations (30.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze60.0ms (1.8%)

sample717.0ms (21.8%)

explain363.0ms (11%)

preprocess197.0ms (6%)

eval0.0ms (0%)

prune0.0ms (0%)

series11.0ms (0.3%)

rewrite155.0ms (4.7%)

eval7.0ms (0.2%)

prune44.0ms (1.3%)

series132.0ms (4%)

rewrite214.0ms (6.5%)

eval48.0ms (1.5%)

prune449.0ms (13.7%)

series40.0ms (1.2%)

rewrite162.0ms (4.9%)

eval60.0ms (1.8%)

prune129.0ms (3.9%)

series19.0ms (0.6%)

rewrite155.0ms (4.7%)

eval14.0ms (0.4%)

prune169.0ms (5.1%)

regimes22.0ms (0.7%)

regimes8.0ms (0.2%)

simplify40.0ms (1.2%)

derivations51.0ms (1.6%)

preprocess16.0ms (0.5%)

end0.0ms (0%)

Profiling