Metrics for Logistic function

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze44.0ms (3%)

Memory

22.9MiB live, 55.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample975.0ms (66.3%)

Memory

-23.8MiB live, 1 335.1MiB allocated

Samples

706.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 512.0ms

ival-div: 133.0ms (26% of total)

const: 120.0ms (23.5% of total)

ival-<=: 70.0ms (13.7% of total)

ival-exp: 66.0ms (12.9% of total)

ival-neg: 50.0ms (9.8% of total)

ival-add: 45.0ms (8.8% of total)

ival-and: 12.0ms (2.3% of total)

exact: 11.0ms (2.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain91.0ms (6.2%)

Memory

19.5MiB live, 133.3MiB allocated

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)))`
6	(-0.0030783144757151604 1.1786364666477311e-5)	-	`(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	6	2

Confusion

	Predicted +	Predicted -
+	0	0
-	6	250

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	6	2	248

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 103 to 36 computations (65% saved)

Precisions

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

ival-div: 7.0ms (40.7% of total)

ival-exp: 4.0ms (23.2% of total)

ival-neg: 3.0ms (17.4% of total)

ival-add: 2.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess3.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

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))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.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)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

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

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

localize24.0ms (1.6%)

Memory

-13.0MiB live, 28.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 x)
accuracy	0.01171875	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.01953125	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.03956751178494127	(exp.f32 (/.f32 (neg.f32 x) s))

Samples

15.0ms

256×

valid

Compiler

Compiled 62 to 18 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (36% of total)

ival-exp: 2.0ms (24% of total)

ival-add: 1.0ms (12% of total)

ival-neg: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.6%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

5 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

simplify1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

29 → 5

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 1.1MiB live, 1.1MiB allocated
Compiler: Compiled 122 to 20 computations (83.6% saved)

prune2.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	6	4	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	5	11

Accuracy

99.9%

Counts

11 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	6.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
▶	4.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s))
▶	44.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	10.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp.f32 (/.f32 (neg.f32 x) s)))

Compiler

Compiled 67 to 56 computations (16.4% saved)

simplify1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Calls

Call 1

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

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

localize27.0ms (1.9%)

Memory

-1.7MiB live, 35.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 x)
accuracy	0.01953125	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
accuracy	30.082787599724327	#s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))
accuracy	0.0	(/.f32 (neg.f32 x) s)
accuracy	0.0	(neg.f32 x)
accuracy	30.475246606736228	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s))
accuracy	0.0	(neg.f32 x)
accuracy	0.01171875	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.03956751178494127	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	17.866151139313658	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.0	(/.f32 (neg.f32 x) s)
accuracy	0.0	(neg.f32 x)
accuracy	0.03956751178494127	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	28.620083851275144	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

17.0ms

256×

valid

Compiler

Compiled 205 to 28 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (35.6% of total)

ival-exp: 2.0ms (23.7% of total)

ival-add: 1.0ms (11.9% of total)

ival-neg: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

9 → 29

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))))
1.0ms	x	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))))
1.0ms	s	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))))
1.0ms	x	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))))
0.0ms	s	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))))

simplify1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Counts

29 → 9

Calls

Call 1

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

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

rewrite2.0ms (0.1%)

Memory

-36.7MiB live, 1.1MiB allocated

Counts

9 → 9

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 3.0MiB live, 3.0MiB allocated
Compiler: Compiled 575 to 42 computations (92.7% saved)

prune4.0ms (0.3%)

Memory

7.6MiB live, 7.6MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	23	5	28
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	24	9	33

Accuracy

99.9%

Counts

33 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	6.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
✓	4.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s))
✓	44.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	34.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))
▶	25.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))
▶	9.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s)))))
▶	5.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg.f32 x))
▶	22.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))

Compiler

Compiled 308 to 180 computations (41.6% saved)

simplify1.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Calls

Call 1

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

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

localize31.0ms (2.1%)

Memory

12.6MiB live, 50.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03956751178494127	(exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))
accuracy	26.39342152925406	#s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
accuracy	28.620083851275144	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))
accuracy	30.082787599724327	#s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))
accuracy	0.01953125	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
accuracy	17.866151139313658	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))
accuracy	28.620083851275144	#s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))
accuracy	30.082787599724327	#s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))
accuracy	0.01171875	(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s))))
accuracy	17.866151139313658	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s)))))
accuracy	28.620083851275144	#s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s)))
accuracy	30.475246606736228	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s))
accuracy	0.0	(neg.f32 x)
accuracy	30.39022400645069	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg.f32 x))
accuracy	0.03956751178494127	(exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))
accuracy	17.866151139313658	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))
accuracy	26.39342152925406	#s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
accuracy	30.082787599724327	#s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))

Samples

20.0ms

256×

valid

Compiler

Compiled 525 to 36 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (30.2% of total)

ival-neg: 3.0ms (30.2% of total)

ival-exp: 2.0ms (20.1% of total)

ival-add: 1.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.7%)

Memory

-22.1MiB live, 18.7MiB allocated

Counts

16 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

simplify1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Counts

29 → 16

Calls

Call 1

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

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

rewrite1.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

16 → 16

Calls

Call 1

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

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

eval2.0ms (0.2%)

Memory: 7.4MiB live, 7.4MiB allocated
Compiler: Compiled 1 380 to 73 computations (94.7% saved)

prune6.0ms (0.4%)

Memory

14.8MiB live, 14.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	42	10	52

Accuracy

99.9%

Counts

52 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	6.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
✓	4.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s))
✓	44.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	34.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))
✓	25.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))
▶	22.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))))
✓	9.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s)))))
✓	5.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg.f32 x))
✓	22.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))

Compiler

Compiled 223 to 130 computations (41.7% saved)

simplify1.0ms (0%)

Memory

1.5MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

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

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

localize25.0ms (1.7%)

Memory

4.0MiB live, 41.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	28.620083851275144	#s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))
accuracy	30.082787599724327	#s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))
accuracy	30.082787599724327	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))
accuracy	30.39022400645069	#s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))

Samples

18.0ms

256×

valid

Compiler

Compiled 257 to 28 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 6.0ms (52.6% of total)

ival-exp: 2.0ms (17.5% of total)

ival-add: 1.0ms (8.8% of total)

ival-neg: 1.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

7 → 28

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg x) (+ 1 (exp (/ (neg x) s))) (+ 1 (exp (/ (neg x) s))))
0.0ms	x	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg x) (+ 1 (exp (/ (neg x) s))) (+ 1 (exp (/ (neg x) s))))
0.0ms	s	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg x) (+ 1 (exp (/ (neg x) s))) (+ 1 (exp (/ (neg x) s))))
0.0ms	x	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg x) (+ 1 (exp (/ (neg x) s))) (+ 1 (exp (/ (neg x) s))))
0.0ms	s	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg x) (+ 1 (exp (/ (neg x) s))) (+ 1 (exp (/ (neg x) s))))

simplify1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Counts

28 → 7

Calls

Call 1

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

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

rewrite1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

7 → 7

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.7MiB live, 1.7MiB allocated
Compiler: Compiled 489 to 26 computations (94.7% saved)

prune9.0ms (0.6%)

Memory

-27.1MiB live, 9.8MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	11	11	22

Accuracy

99.9%

Counts

22 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	6.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
✓	4.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s))
	5.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))
✓	44.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	34.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))
✓	25.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))
✓	22.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))))
✓	9.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s)))))
✓	5.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg.f32 x))
✓	22.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))

Compiler

Compiled 531 to 184 computations (65.3% saved)

regimes28.0ms (1.9%)

Memory

9.1MiB live, 46.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes36.0ms (2.4%)

Memory

-4.1MiB live, 44.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

7 calls:

15.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms	s
4.0ms	(neg.f32 x)
4.0ms	x
3.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
44.2%	1	`x`
44.2%	1	`s`
44.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
44.2%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
44.2%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
44.2%	1	`(/.f32 (neg.f32 x) s)`
44.2%	1	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes25.0ms (1.7%)

Memory

4.5MiB live, 42.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
34.2%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
34.2%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
40.0%	2	`(/.f32 (neg.f32 x) s)`
44.0%	2	`(neg.f32 x)`
34.2%	1	`s`
34.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
44.0%	2	`x`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes6.0ms (0.4%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(neg.f32 x)

Results

Accuracy	Segments	Branch
43.2%	2	`(neg.f32 x)`
43.2%	2	`x`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes20.0ms (1.3%)

Memory

-31.6MiB live, 46.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

5.0ms	x
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms	s
2.0ms	(neg.f32 x)
2.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
30.4%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
30.4%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
30.4%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
25.5%	1	`s`
30.4%	2	`(/.f32 (neg.f32 x) s)`
30.4%	2	`(neg.f32 x)`
30.4%	2	`x`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes13.0ms (0.9%)

Memory

30.5MiB live, 30.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
9.3%	1	`s`
9.3%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
9.3%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
9.3%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
9.3%	1	`(/.f32 (neg.f32 x) s)`
9.3%	1	`(neg.f32 x)`
9.3%	1	`x`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes13.0ms (0.9%)

Memory

-15.2MiB live, 28.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
6.1%	1	`s`
6.1%	1	`(neg.f32 x)`
6.1%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
6.1%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
6.1%	1	`(/.f32 (neg.f32 x) s)`
6.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
6.1%	1	`x`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes10.0ms (0.7%)

Memory

-15.2MiB live, 24.2MiB allocated

Accuracy

Total -0.3b remaining (-1.1%)

Threshold costs -0.3b (-1.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	x
1.0ms	(neg.f32 x)
1.0ms	s
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
5.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
5.0%	1	`x`
5.0%	1	`s`
5.0%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
5.0%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
5.0%	1	`(/.f32 (neg.f32 x) s)`
5.0%	1	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.20152753591537476	351.4359436035156

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.20152753591537476	351.4359436035156

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.79114941451553e-8	1.0005204842400417e-7

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify5.0ms (0.4%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 x #s(literal 13421773/33554432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))))) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))
(if (<=.f32 x #s(literal 13421773/33554432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))))) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))
(if (<=.f32 x #s(literal 14073749/140737488355328 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s))))) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg.f32 x))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 x #s(literal 13421773/33554432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))))) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 #s(approx (/ (neg x) s) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))
(if (<=.f32 x #s(literal 13421773/33554432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (neg x) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x))))))))) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))
(if (<=.f32 x #s(literal 14073749/140737488355328 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s))))) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (neg.f32 x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (neg.f32 x))

soundness2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 300 to 42 computations (86% saved)

preprocess29.0ms (2%)

Memory: -8.8MiB live, 68.3MiB allocated
Compiler: Compiled 618 to 100 computations (83.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze44.0ms (3%)

sample975.0ms (66.3%)

explain91.0ms (6.2%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize24.0ms (1.6%)

series9.0ms (0.6%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0%)

prune2.0ms (0.1%)

simplify1.0ms (0%)

localize27.0ms (1.9%)

series4.0ms (0.3%)

simplify1.0ms (0%)

rewrite2.0ms (0.1%)

eval2.0ms (0.1%)

prune4.0ms (0.3%)

simplify1.0ms (0.1%)

localize31.0ms (2.1%)

series10.0ms (0.7%)

simplify1.0ms (0.1%)

rewrite1.0ms (0.1%)

eval2.0ms (0.2%)

prune6.0ms (0.4%)

simplify1.0ms (0%)

localize25.0ms (1.7%)

series3.0ms (0.2%)

simplify1.0ms (0%)

rewrite1.0ms (0%)

eval1.0ms (0.1%)

prune9.0ms (0.6%)

regimes28.0ms (1.9%)

regimes36.0ms (2.4%)

regimes25.0ms (1.7%)

regimes6.0ms (0.4%)

regimes20.0ms (1.3%)

regimes13.0ms (0.9%)

regimes13.0ms (0.9%)

regimes10.0ms (0.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify5.0ms (0.4%)

soundness2.0ms (0.1%)

preprocess29.0ms (2%)

end0.0ms (0%)

Profiling