Metrics for Logistic distribution

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze44.0ms (0.4%)

Memory

23.8MiB live, 61.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 34 to 17 computations (50% saved)

sample1.5s (12.4%)

Memory

-84.2MiB live, 1 597.4MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 955.0ms

ival-fabs: 373.0ms (39.1% of total)

ival-div: 146.0ms (15.3% of total)

const: 115.0ms (12% of total)

ival-mult: 98.0ms (10.3% of total)

ival-exp: 63.0ms (6.6% of total)

ival-<=: 59.0ms (6.2% of total)

ival-add: 41.0ms (4.3% of total)

ival-neg: 33.0ms (3.5% of total)

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

exact: 11.0ms (1.2% of total)

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

Bogosity

explain156.0ms (1.3%)

Memory

-2.3MiB live, 289.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	0	-	-	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
0	0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))`
0	0	-	-	`#s(literal 1 binary32)`
0	2	(-1.5097023470492063e-30 5.5414926934433806e-33)	-	`(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))`
0	0	-	-	`s`
0	0	-	-	`(neg.f32 (fabs.f32 x))`
0	0	-	-	`(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))`
0	0	-	-	`(/.f32 (neg.f32 (fabs.f32 x)) s)`
0	0	-	-	`(.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))`
0	0	-	-	`x`
0	0	-	-	`(fabs.f32 x)`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	1	254

Precision

0.5

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	1	2	252

Precision?

0.25

Recall?

1.0

Freqs

test

number	freq
0	254
1	1
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms

512×

valid

Compiler

Compiled 196 to 37 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-fabs: 20.0ms (40.8% of total)

ival-div: 13.0ms (26.6% of total)

ival-mult: 5.0ms (10.2% of total)

ival-exp: 4.0ms (8.2% of total)

ival-neg: 3.0ms (6.1% of total)

ival-add: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess281.0ms (2.4%)

Memory

8.5MiB live, 424.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 930×	`lower-fma.f64`
10 930×	`lower-fma.f32`
3 522×	`lower-*.f64`
3 518×	`lower-*.f32`
1 474×	`lower-/.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	31	140
1	123	128
2	442	123
3	1364	121
4	3823	121
5	6461	121
0	11	26
0	19	26
1	45	26
2	114	25
3	228	25
4	382	25
5	674	19
6	1251	18
7	2511	18
8	4661	18
0	8211	18

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs x)

Compiler

Compiled 28 to 11 computations (60.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Status

Accuracy

Program

▶

99.4%

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

simplify221.0ms (1.9%)

Memory

2.2MiB live, 393.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

10 930×	`lower-fma.f64`
10 930×	`lower-fma.f32`
3 522×	`lower-*.f64`
3 518×	`lower-*.f32`
1 474×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	82
0	19	82
1	45	82
2	114	79
3	228	79
4	382	79
5	674	73
6	1251	72
7	2511	72
8	4661	72
0	8211	71

Stop Event

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

Calls

Call 1

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

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

localize31.0ms (0.3%)

Memory

5.0MiB live, 83.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy	0.02734375	(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy	0.0567250017176708	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.1517060571519453	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Samples

20.0ms

256×

valid

Compiler

Compiled 84 to 13 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 3.0ms (22.6% of total)

ival-mult: 3.0ms (22.6% of total)

ival-exp: 2.0ms (15.1% of total)

ival-fabs: 2.0ms (15.1% of total)

ival-add: 1.0ms (7.5% of total)

ival-neg: 1.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

4.8MiB live, 47.6MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())
#s(alt (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())

Outputs
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor inf x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor inf x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor inf x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor inf x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor -inf x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
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#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor -inf x) (#s(alt (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor -inf x) (#s(alt (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor -inf x) (#s(alt (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (fabs x) s))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
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#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
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#s(alt (* -1 (/ (fabs x) s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (fabs x) s))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (fabs x) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
3.0ms	s	@	-inf	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms	s	@	inf	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms	x	@	0	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms	x	@	inf	(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))

simplify374.0ms (3.1%)

Memory

10.6MiB live, 602.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24 918×	`lower-fma.f64`
24 918×	`lower-fma.f32`
5 396×	`lower-*.f64`
5 396×	`lower-*.f32`
3 764×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	1685
1	557	1564
2	1826	1385
0	8590	1355

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s s)))) (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s (neg.f32 s)))) (/.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -5/48 binary32))) (.f32 s (.f32 s s))))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s s)))) (-.f32 (fma.f32 #s(literal 1/96 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) (pow.f32 s #s(literal 4 binary32))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 s s)) #s(literal 1/4 binary32))) (fma.f32 (fabs.f32 x) (-.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 1/16 binary32) (.f32 (.f32 x x) #s(literal -1/16 binary32)))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s)))) (fma.f32 (/.f32 #s(literal 1/16 binary32) (.f32 s s)) (fma.f32 x (.f32 x #s(literal 3 binary32)) (.f32 (/.f32 (.f32 x (.f32 x (fabs.f32 x))) s) #s(literal -5/3 binary32))) (fma.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal 4 binary32))) (/.f32 (.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/64 binary32)) (pow.f32 s #s(literal 4 binary32)))))))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(neg.f32 (/.f32 (fma.f32 (fabs.f32 x) (.f32 (.f32 x x) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s s)))) (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (neg.f32 s))) (fma.f32 (fabs.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s (.f32 s s))) (fma.f32 #s(literal 5/48 binary32) (/.f32 (.f32 x (.f32 x (fabs.f32 x))) (.f32 s (*.f32 s s))) #s(literal 1/4 binary32))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/.f32 (-.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) (/.f32 (fma.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 1/16 binary32) (.f32 (.f32 x x) #s(literal -1/16 binary32))) (fma.f32 #s(literal 1/96 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) (-.f32 (.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 1/16 binary32) (.f32 (.f32 x x) #s(literal -1/16 binary32)))) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 3/4 binary32) (.f32 x (.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) s))) (/.f32 (.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/64 binary32)) s))))) (.f32 s (.f32 s s)))) (neg.f32 s))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* 2 s)
(*.f32 s #s(literal 2 binary32))
(* s (+ 2 (* -1 (/ (fabs x) s))))
(*.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(.f32 s (fma.f32 (.f32 x x) (.f32 (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) #s(literal -1/6 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s))))
(* 2 s)
(*.f32 s #s(literal 2 binary32))
(* -1 (* s (- (/ (fabs x) s) 2)))
(*.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(.f32 s (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (fabs.f32 x) (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) (fabs.f32 x)) s)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(fma.f32 (.f32 x x) (.f32 (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (fabs.f32 x) (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 x (.f32 x #s(literal 1/2 binary32)))) s) (fabs.f32 x)) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(fma.f32 (.f32 x x) (.f32 (/.f32 (fabs.f32 x) (.f32 s (.f32 s s))) #s(literal -1/6 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (fabs.f32 x) (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 x (.f32 x #s(literal 1/2 binary32)))) s) (fabs.f32 x)) s))

rewrite327.0ms (2.7%)

Memory

-29.8MiB live, 516.2MiB allocated

Rules

4 988×	`lower-*.f64`
4 984×	`lower-*.f32`
3 732×	`lower-fma.f64`
3 732×	`lower-fma.f32`
2 684×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	55
0	19	55
1	74	48
2	473	47
3	5277	46
0	8229	46

Stop Event

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

Counts

5 → 437

Calls

Call 1

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

Outputs
(neg.f32 (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s)))
(neg.f32 (/.f32 #s(literal -1 binary32) (.f32 s (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))
(+.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32)) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(+.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) #s(literal 1 binary32)) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))) (.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))))
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eval145.0ms (1.2%)

Memory: 5.5MiB live, 272.8MiB allocated
Compiler: Compiled 37 255 to 2 852 computations (92.3% saved)

prune166.0ms (1.4%)

Memory

9.6MiB live, 413.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	1 061	16	1 077
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 062	16	1 078

Accuracy

99.8%

Counts

1 078 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	99.3%	(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
▶	99.4%	(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
	99.3%	(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) s)
	96.8%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))))
	96.3%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
	70.1%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (fabs.f32 x) (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 x (.f32 x #s(literal 1/2 binary32)))) s) (fabs.f32 x)) s)))))
	95.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
▶	96.3%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
▶	99.4%	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
	99.3%	(/.f32 #s(literal 1 binary32) (.f32 s (.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))))
	98.9%	(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	98.9%	(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) s))
▶	97.5%	(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))
	24.4%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
▶	28.3%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))

Compiler

Compiled 792 to 432 computations (45.5% saved)

simplify249.0ms (2.1%)

Memory

-3.3MiB live, 383.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (fabs.f32 x) s)
cost-diff	0	(+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
cost-diff	96	(.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32))
cost-diff	6144	(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))
cost-diff	0	(/.f32 (fabs.f32 x) s)
cost-diff	0	(neg.f32 (/.f32 (fabs.f32 x) s))
cost-diff	0	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
cost-diff	3200	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
cost-diff	0	(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff	64	(*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))))
cost-diff	3744	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) s)
cost-diff	0	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
cost-diff	0	(neg.f32 (/.f32 (fabs.f32 x) s))
cost-diff	0	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
cost-diff	288	(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
cost-diff	3744	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))

Rules

10 478×	`lower-fma.f64`
10 476×	`lower-fma.f32`
2 768×	`lower-*.f64`
2 760×	`lower-*.f32`
1 924×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	448
0	70	451
1	146	430
2	287	430
3	568	430
4	1133	430
5	2536	416
6	3918	416
7	5200	416
8	7293	416
0	8074	413

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.2%)

Memory

-20.0MiB live, 387.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy	0.056725001717670816	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy	0.078125	(+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
accuracy	0.74147663221742	(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))
accuracy	0.02734375	(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
accuracy	0.04296875	(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy	0.056725001717670816	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy	0.1517060571519453	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
accuracy	0.02734375	(*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))))
accuracy	0.0567250017176708	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.1517060571519453	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
accuracy	23.138724400604737	#s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
accuracy	0	(/.f32 #s(literal 1/4 binary32) s)
accuracy	22.93346939854917	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
accuracy	0.02734375	(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
accuracy	0.0390625	(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
accuracy	0.056725001717670816	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy	0.1360810571519453	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))

Samples

76.0ms

256×

valid

Compiler

Compiled 414 to 33 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-div: 22.0ms (37.8% of total)

ival-add: 9.0ms (15.4% of total)

ival-exp: 8.0ms (13.7% of total)

ival-mult: 7.0ms (12% of total)

ival-neg: 4.0ms (6.9% of total)

ival-log: 3.0ms (5.1% of total)

ival-fabs: 2.0ms (3.4% of total)

ival-pow2: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

series223.0ms (1.9%)

Memory

32.0MiB live, 356.1MiB allocated

Counts

19 → 444

Calls

Call 1

Inputs
#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (patch (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (patch (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())
#s(alt (neg.f32 (/.f32 (fabs.f32 x) s)) (patch (neg.f32 (/.f32 (fabs.f32 x) s)) #<representation binary32>) () ())
#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) s) (patch (/.f32 #s(literal 1/4 binary32) s) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())
#s(alt (.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (patch (.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (fabs.f32 x) s) (patch (/.f32 (fabs.f32 x) s) #<representation binary32>) () ())
#s(alt (exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32))) (patch (exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)) (patch (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) (patch (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (patch #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())
#s(alt (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())

Outputs
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor 0 x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor 0 x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor 0 x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor 0 x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor inf x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor inf x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor inf x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor inf x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor -inf x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor -inf x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor -inf x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor -inf x) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (* s (+ 1 (exp (neg (/ (fabs x) s)))))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (* s (+ 1 (exp (neg (/ (fabs x) s)))))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (* s (+ 1 (exp (neg (/ (fabs x) s)))))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (neg (/ (fabs x) s))) (* s (+ 1 (exp (neg (/ (fabs x) s)))))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor inf s) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 1/2 (* -1/2 (/ (fabs x) s))) (* -1/4 (/ (fabs x) s))) s) (taylor inf s) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 1/2 (+ (* -1/2 (/ (fabs x) s)) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1/2 (/ (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) s) (taylor inf s) (#s(alt (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (patch (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #<representation binary32>) () ())) ())
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#s(alt (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)) (taylor -inf x) (#s(alt (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)) (taylor -inf x) (#s(alt (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())

Calls

111 calls:

Time	Variable		Point	Expression
56.0ms	x	@	-inf	(exp (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1))
52.0ms	s	@	0	(* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1)
46.0ms	x	@	0	(exp (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1))
19.0ms	x	@	inf	(exp (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1))
4.0ms	x	@	inf	(/ (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (+ (exp (neg (/ (fabs x) s))) 1))

simplify258.0ms (2.2%)

Memory

-12.9MiB live, 489.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 150×	`lower-fma.f64`
9 150×	`lower-fma.f32`
4 192×	`lower-+.f64`
4 192×	`lower-+.f32`
3 768×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	540	8429
1	1747	7122
2	6446	6971
0	8237	6776

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

rewrite383.0ms (3.2%)

Memory

4.2MiB live, 688.7MiB allocated

Rules

5 192×	`lower-*.f64`
5 184×	`lower-*.f32`
4 944×	`lower-/.f64`
4 930×	`lower-/.f32`
3 842×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	271
0	70	274
1	287	254
2	1882	250
0	9010	244

Stop Event

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

Counts

19 → 1 166

Calls

Call 1

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

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

eval472.0ms (4%)

Memory: 61.4MiB live, 823.0MiB allocated
Compiler: Compiled 105 350 to 6 828 computations (93.5% saved)

prune449.0ms (3.8%)

Memory

-14.1MiB live, 912.8MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	3 283	15	3 298
Fresh	7	4	11
Picked	3	2	5
Done	0	0	0
Total	3 293	21	3 314

Accuracy

99.9%

Counts

3 314 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))
	99.3%	(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
	99.3%	(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
	98.8%	(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)))
	95.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
	99.3%	(/.f32 (exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
✓	99.4%	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
	95.1%	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))))
▶	27.7%	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
	26.8%	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -1/4 binary32) (/.f32 (-.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/4 binary32) (.f32 x x)))) (/.f32 (-.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -1/24 binary32))) (fma.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/4 binary32) (.f32 x x)))) (.f32 (fabs.f32 x) #s(literal 1/2 binary32)) (.f32 (.f32 x x) (.f32 #s(literal 1/4 binary32) (.f32 (fabs.f32 x) #s(literal -1/4 binary32)))))) s)) (neg.f32 s))) s)) (neg.f32 s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
▶	99.4%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
	98.9%	(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	98.9%	(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) s))
	96.6%	(.f32 (exp.f32 (.f32 #s(literal -1 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	93.8%	(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))))) #s(literal -1 binary32)))
▶	97.2%	(exp.f32 (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))))
▶	61.6%	(exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s)))))
	75.1%	(exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (neg.f32 (/.f32 (fabs.f32 x) s))))
	21.6%	#s(approx (/ (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (+ (exp (neg (/ (fabs x) s))) 1)) (/.f32 (+.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (.f32 s s)) #s(literal -1/4 binary32)) (/.f32 (.f32 #s(literal 3/16 binary32) (.f32 x x)) (*.f32 s s))) (neg.f32 s)))
▶	24.4%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
✓	28.3%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))

Compiler

Compiled 937 to 538 computations (42.6% saved)

simplify308.0ms (2.6%)

Memory

-26.5MiB live, 380.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (fabs.f32 x) s)
cost-diff	0	(+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))
cost-diff	0	(neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))
cost-diff	6048	(exp.f32 (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))))
cost-diff	0	#s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s))))
cost-diff	0	(exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s)))))
cost-diff	160	(fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s)))
cost-diff	256	(fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x)))
cost-diff	0	(fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32))
cost-diff	0	(/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)
cost-diff	0	#s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s))
cost-diff	0	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
cost-diff	0	(/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))
cost-diff	0	(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
cost-diff	0	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
cost-diff	64	(+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))
cost-diff	0	(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
cost-diff	96	(.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
cost-diff	3840	(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s)))

Rules

14 994×	`lower-fma.f64`
14 984×	`lower-fma.f32`
5 048×	`lower-*.f64`
5 038×	`lower-*.f32`
2 310×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	544
0	114	548
1	223	509
2	465	486
3	1277	480
4	4002	473
0	8846	467

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (1.5%)

Memory

28.8MiB live, 334.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.056725001717670816	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy	0.078125	(+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))
accuracy	0.09994125976844201	(fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))
accuracy	0.74147663221742	(exp.f32 (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))))
accuracy	0.74147663221742	(exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s)))))
accuracy	4.653789228147191	(fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s)))
accuracy	5.847656341365765	(fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x)))
accuracy	14.073935823285995	#s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s))))
accuracy	0.056725001717670816	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy	0.08203125	(/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)
accuracy	0.12534165172363415	(fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32))
accuracy	23.126029740362256	#s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s))
accuracy	0.0390625	(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)
accuracy	0.1853702741342128	(.f32 (.f32 x x) #s(literal -1/16 binary32))
accuracy	6.789197522558034	(/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))
accuracy	23.146228967829536	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
accuracy	0.02734375	(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
accuracy	0.056725001717670816	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy	0.063453384625761	(exp.f32 (/.f32 (fabs.f32 x) s))
accuracy	0.155720927721535	(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s)))

Samples

101.0ms

256×

valid

Compiler

Compiled 493 to 67 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 19.0ms (23.6% of total)

ival-div: 18.0ms (22.3% of total)

ival-add: 12.0ms (14.9% of total)

ival-exp: 9.0ms (11.2% of total)

ival-log: 9.0ms (11.2% of total)

ival-neg: 5.0ms (6.2% of total)

ival-pow2: 4.0ms (5% of total)

ival-fabs: 2.0ms (2.5% of total)

ival-log1p: 2.0ms (2.5% of total)

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

exact: 1.0ms (1.2% of total)

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

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

series293.0ms (2.5%)

Memory

17.9MiB live, 446.6MiB allocated

Counts

25 → 576

Calls

Call 1

Inputs
#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (patch (.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (patch (/.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) #<representation binary32>) () ())
#s(alt (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (patch (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) (patch (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) #<representation binary32>) () ())
#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) s) (patch (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s))) s) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (.f32 s s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (patch (/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (patch #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s) (patch (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s) #<representation binary32>) () ())
#s(alt (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) (patch (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (patch (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s))) (patch (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s))) #<representation binary32>) () ())
#s(alt (exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s))))) (patch (exp.f32 #s(approx ( (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s))))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s)))) (patch #s(approx ( (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (fma.f32 #s(literal 3/2 binary32) (.f32 x x) (neg.f32 (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (-.f32 (neg.f32 (log.f32 #s(literal 4 binary32))) (log.f32 s)))) #<representation binary32>) () ())
#s(alt (exp.f32 (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))) (patch (exp.f32 (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))) #<representation binary32>) () ())
#s(alt (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))) (patch (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))) (patch (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))) #<representation binary32>) () ())
#s(alt (/.f32 (fabs.f32 x) s) (patch (/.f32 (fabs.f32 x) s) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (fabs.f32 x) s)) (patch (exp.f32 (/.f32 (fabs.f32 x) s)) #<representation binary32>) () ())
#s(alt (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (patch (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x x) #s(literal -1/16 binary32)) (patch (.f32 (.f32 x x) #s(literal -1/16 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (patch (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) #<representation binary32>) () ())

Outputs
#s(alt (* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s)))))) (taylor 0 s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s)))))) (taylor 0 s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s)))))) (taylor 0 s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s)))))) (taylor 0 s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* 2 s) (taylor inf s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 2 (/ (fabs x) s))))) (taylor inf s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 2 (/ (fabs x) s)) (/ (pow (fabs x) 2) (pow s 2)))))))) (taylor inf s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (fabs x) s)) (/ (pow (fabs x) 2) (pow s 2)))))))))))) (taylor inf s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* 2 s) (taylor -inf s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 2 (fabs x))) s)) 2))) (taylor -inf s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (+ (* -1 (/ (+ (* -1 (pow (fabs x) 2)) (+ (* -1/2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 2 (fabs x)))) s)) 2))) (taylor -inf s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/3 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3))))) s)) (+ (* -1 (pow (fabs x) 2)) (+ (* -1/2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 2 (fabs x)))) s)) 2))) (taylor -inf s) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s)))))) (taylor inf x) (#s(alt (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())) ())
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Calls

144 calls:

Time	Variable		Point	Expression
88.0ms	x	@	-inf	(exp (neg (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s)))))
56.0ms	x	@	0	(exp (neg (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s)))))
39.0ms	s	@	0	(+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))
20.0ms	x	@	inf	(exp (neg (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s)))))
14.0ms	x	@	0	(+ (* (+ (* 3/2 (* x x)) (neg (* x x))) (/ -1/2 (* s s))) (- (neg (log 4)) (log s)))

simplify409.0ms (3.4%)

Memory

-18.6MiB live, 530.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 408×	`lower-fma.f64`
11 408×	`lower-fma.f32`
7 344×	`lower-+.f64`
7 344×	`lower-+.f32`
4 388×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	908	10789
1	3003	9307
0	9243	8783

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* 2 s)
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 2 (/ (fabs x) s)))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 2 (/ (fabs x) s)) (/ (pow (fabs x) 2) (pow s 2))))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (fabs x) s)) (/ (pow (fabs x) 2) (pow s 2))))))))))))
(* 2 s)
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 2 (fabs x))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (+ (* -1 (/ (+ (* -1 (pow (fabs x) 2)) (+ (* -1/2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 2 (fabs x)))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/3 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3))))) s)) (+ (* -1 (pow (fabs x) 2)) (+ (* -1/2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 2 (fabs x)))) s)) 2)))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* 4 s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s)))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (+ (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))
(* 4 s)
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2)))) s)) (* 4 (fabs x)))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (/ (+ (* -2 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (* 2/3 (pow (fabs x) 3)))))) s)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2))))) s)) (* 4 (fabs x)))) s)) 4)))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/16 (+ (* -2 (pow (fabs x) 3)) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 2)))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2) s)) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2)))) s))) (* 1/16 (+ (* -4 (fabs x)) (* 4 (fabs x))))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/64 (/ (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2))))) s)) (+ (* 1/16 (/ (+ (* -2 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (* 2/3 (pow (fabs x) 3)))))) s)) (* 1/4 (/ (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* 1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2))))))) s)))) (+ (* 1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 (fabs x)) (* 4 (fabs x))))) s)) 1/4) s))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
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(+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 2 (log 2)) (/ (fabs x) s)))))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (* 2 (log 2))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 2 (log 2)))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) s)))) s)) (* 2 (log 2)))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/3 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)))) s)) (* 2 (log 2)))))
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
1
(+ 1 (/ (fabs x) s))
(+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))
(+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))
1
(+ 1 (/ (fabs x) s))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
(+ 1 (exp (neg (/ (fabs x) s))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (* -1 (log (/ 1 s))) (* 2 (log 2)))
(+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (* 2 (log 2))))
(+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (* 2 (log 2))))))
(+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (* 2 (log 2)))))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (* 2 (log 2))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (fabs x) s)) (* 2 (log 2)))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) s))) s)) (* 2 (log 2)))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/3 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s))) s)) (* 2 (log 2)))))

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

rewrite288.0ms (2.4%)

Memory

35.1MiB live, 514.8MiB allocated

Rules

3 708×	`lower-/.f64`
3 692×	`lower-/.f32`
3 546×	`lower-*.f64`
3 536×	`lower-*.f32`
2 736×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	429
0	114	430
1	446	382
2	3418	374
0	8332	370

Stop Event

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

Counts

25 → 885

Calls

Call 1

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

Outputs
(+.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))
(+.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s))
(+.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (.f32 (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+.f32 (.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(pow.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)) #s(literal 1 binary32))
(pow.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)) #s(literal -1 binary32))
(fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s))
(fma.f32 (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (exp.f32 (/.f32 (fabs.f32 x) s)) (.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)))
(/.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s))))
(/.f32 (neg.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))
(/.f32 (fma.f32 (.f32 s (.f32 s s)) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))) (.f32 s (.f32 s s))) (.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (fma.f32 s (-.f32 s (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32)))))))
(/.f32 (fma.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (.f32 s (neg.f32 s))) (.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (neg.f32 s))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s))) (neg.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))
(/.f32 (neg.f32 (fma.f32 (.f32 s (.f32 s s)) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))) (.f32 s (.f32 s s)))) (neg.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (fma.f32 s (-.f32 s (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (fma.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (.f32 s (neg.f32 s)))) (neg.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (neg.f32 s)))))
(/.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 (.f32 s (.f32 s s)) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))) (.f32 s (.f32 s s)))) (fma.f32 s (-.f32 s (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))))))
(/.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (.f32 s (neg.f32 s)))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (neg.f32 s)))
(/.f32 (.f32 (fma.f32 (.f32 s (.f32 s s)) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))) (.f32 s (.f32 s s))) (exp.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (-.f32 s (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))))))
(/.f32 (.f32 (fma.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (.f32 s (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (neg.f32 s)))
(/.f32 (neg.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 (.f32 s (.f32 s s)) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))) (.f32 s (.f32 s s))))) (neg.f32 (fma.f32 s (-.f32 s (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (.f32 s (neg.f32 s))))) (neg.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (neg.f32 s))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 s (.f32 s s)) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))) (.f32 s (.f32 s s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (fma.f32 s (-.f32 s (.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 s s) (exp.f32 (.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (.f32 s (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (neg.f32 s))))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s))
(.f32 (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)))
(*.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s))
(*.f32 (/.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) #s(literal 1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (log.f32 s) (/.f32 (fabs.f32 x) s))))
(exp.f32 (neg.f32 (*.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (log.f32 s)) (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal -1 binary32))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s))
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(/.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log.f32 s) #s(literal 2 binary32)))) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (neg.f32 (log.f32 s))))
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(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 3 binary32)) (pow.f32 (log.f32 s) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log.f32 s) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) #s(literal 2 binary32)) (.f32 (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 #s(literal 2 binary32) (log.f32 s)))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log.f32 s) #s(literal 2 binary32))))) (neg.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (neg.f32 (log.f32 s)))))
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eval249.0ms (2.1%)

Memory: -19.7MiB live, 410.1MiB allocated
Compiler: Compiled 52 527 to 4 431 computations (91.6% saved)

prune338.0ms (2.8%)

Memory

-30.7MiB live, 441.1MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 821	20	1 841
Fresh	9	5	14
Picked	4	1	5
Done	1	1	2
Total	1 835	27	1 862

Accuracy

99.9%

Counts

1 862 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (log.f32 s) (/.f32 (fabs.f32 x) s))))
	99.3%	(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
	95.1%	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))))
▶	32.3%	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))
	30.7%	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (.f32 x x)) s) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))) #s(literal 1 binary32)))
	27.2%	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
	68.1%	(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 (.f32 x x) (.f32 s s)) (-.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (log.f32 s))))) (exp.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (log.f32 s)) #s(literal 2 binary32)) (-.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (log.f32 s)))))))
	98.8%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) #s(literal 2 binary32))))
▶	99.4%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
▶	79.2%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
	76.2%	(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (neg.f32 (.f32 x x)) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32)) (neg.f32 s))))
	23.5%	(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (.f32 s (+.f32 #s(literal 4 binary32) (fma.f32 #s(literal -4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (.f32 x x) (.f32 s s))) (fma.f32 #s(literal 5 binary32) (/.f32 (.f32 x x) (.f32 s s)) (.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))))))))
	46.7%	(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 x (neg.f32 x) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal -3 binary32) (.f32 (neg.f32 (fabs.f32 x)) (.f32 (.f32 x x) #s(literal -3 binary32)))) (neg.f32 s))) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32))))))
	98.9%	(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) s))
	99.0%	(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
	96.6%	(.f32 (exp.f32 (.f32 #s(literal -1 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	93.8%	(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))))) #s(literal -1 binary32)))
✓	97.2%	(exp.f32 (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))))
	93.5%	(exp.f32 (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 #s(approx (exp (neg (/ (fabs x) s))) #s(literal 1 binary32))) (log.f32 s)))))
▶	97.1%	(exp.f32 (neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s))))
	75.1%	(exp.f32 (neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fabs.f32 x) s))))
	88.5%	(exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (.f32 (.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (log.f32 (.f32 #s(literal 4 binary32) s))))))
	27.6%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32)) s))
▶	23.7%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s))
✓	28.3%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
	23.7%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (.f32 (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
	17.1%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ 1/4 (/ (* (* x x) -1/16) (* s s))) s) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/16 binary32) (.f32 (.f32 s s) #s(literal 1/4 binary32))) (.f32 s (*.f32 s s)))))

Compiler

Compiled 1 286 to 741 computations (42.4% saved)

simplify246.0ms (2.1%)

Memory

10.1MiB live, 317.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s)
cost-diff	0	#s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s))
cost-diff	0	(neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s)))
cost-diff	0	(exp.f32 (neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s))))
cost-diff	64	(/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))
cost-diff	64	(neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))))
cost-diff	320	(fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s)))
cost-diff	416	(.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32)))
cost-diff	0	(fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32))
cost-diff	0	(/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)
cost-diff	0	#s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s))
cost-diff	0	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))
cost-diff	0	(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
cost-diff	0	(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
cost-diff	0	(/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s)
cost-diff	0	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s))
cost-diff	0	(fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)
cost-diff	0	#s(approx (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s))
cost-diff	0	(.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))

Rules

13 400×	`lower-fma.f64`
13 384×	`lower-fma.f32`
3 370×	`lower-*.f64`
3 358×	`lower-*.f32`
2 218×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	981
0	137	977
1	277	942
2	557	938
3	1389	829
4	3845	829
5	7076	829
0	8352	814

Stop Event

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

Calls

Call 1

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

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

localize239.0ms (2%)

Memory

30.4MiB live, 394.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.056725001717670816	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy	0.09994125976844201	(fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))
accuracy	0.1328125	(/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s)
accuracy	0.74147663221742	(exp.f32 (neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s))))
accuracy	2.025921571394054	(.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32)))
accuracy	2.1253472078943387	(/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))
accuracy	2.4244463425342495	(/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))
accuracy	7.949135692636962	#s(approx (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32)))))
accuracy	5.199218830616852	(fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
accuracy	6.700946563626723	(/.f32 (.f32 x x) (.f32 s s))
accuracy	23.02486394394905	#s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))
accuracy	23.126029740362256	#s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s))
accuracy	0.0390625	(/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s)
accuracy	0.16082001953688405	(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
accuracy	4.454541499448866	(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
accuracy	23.146228967829536	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s))
accuracy	0.02734375	(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
accuracy	0.056725001717670816	(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy	0.063453384625761	(exp.f32 (/.f32 (fabs.f32 x) s))
accuracy	0.132283427721535	(fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)

Samples

136.0ms

256×

valid

Compiler

Compiled 769 to 74 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 38.0ms (34.2% of total)

ival-div: 23.0ms (20.7% of total)

ival-add: 21.0ms (18.9% of total)

ival-exp: 8.0ms (7.2% of total)

const: 5.0ms (4.5% of total)

ival-neg: 5.0ms (4.5% of total)

ival-log: 4.0ms (3.6% of total)

ival-fabs: 2.0ms (1.8% of total)

ival-log1p: 2.0ms (1.8% of total)

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series70.0ms (0.6%)

Memory

-5.2MiB live, 152.4MiB allocated

Counts

30 → 708

Calls

Call 1

Inputs
#s(alt (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (patch (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) #<representation binary32>) () ())
#s(alt (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (patch (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (patch #s(approx (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) #<representation binary32>) () ())
#s(alt (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s) (patch (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s) #<representation binary32>) () ())
#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s) (patch (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) (patch (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (patch (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))) (patch (/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (patch #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s) (patch (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s) #<representation binary32>) () ())
#s(alt (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) (patch (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))) (patch (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (patch (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) #<representation binary32>) () ())
#s(alt (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32)))) (patch (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) (patch (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #<representation binary32>) () ())
#s(alt (exp.f32 (neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s)))) (patch (exp.f32 (neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s)))) #<representation binary32>) () ())
#s(alt (neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s))) (patch (neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s)) (patch #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s) (patch (/.f32 (fma.f32 s (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (fabs.f32 x)) s) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (fabs.f32 x) s)) (patch (exp.f32 (/.f32 (fabs.f32 x) s)) #<representation binary32>) () ())
#s(alt (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (patch (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) (patch #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 x x) (.f32 s s)) (patch (/.f32 (.f32 x x) (.f32 s s)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (patch (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))))) (patch #s(approx (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s)) (patch (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s)) (patch (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) (patch (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)) #<representation binary32>) () ())

Outputs
#s(alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (patch (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (patch (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (patch (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (patch (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 s) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (patch (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (patch (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (patch (/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) #<representation binary32>) () ())) ())
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Calls

177 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (+ (* s (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (fabs x)) s)
2.0ms	x	@	inf	(* s (+ (/ (+ (fabs x) (/ (+ (* (* x x) -1/2) (/ (+ (* (* (fabs x) (* x x)) 1/6) 0) (neg s))) (neg s))) (neg s)) -2))
2.0ms	x	@	-inf	(* s (+ (/ (+ (fabs x) (/ (+ (* (* x x) -1/2) (/ (+ (* (* (fabs x) (* x x)) 1/6) 0) (neg s))) (neg s))) (neg s)) -2))
1.0ms	x	@	0	(* s (+ (/ (+ (fabs x) (/ (+ (* (* x x) -1/2) (/ (+ (* (* (fabs x) (* x x)) 1/6) 0) (neg s))) (neg s))) (neg s)) -2))
1.0ms	s	@	-inf	(/ (+ (* s (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (fabs x)) s)

simplify441.0ms (3.7%)

Memory

13.8MiB live, 488.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 638×	`lower-fma.f64`
10 638×	`lower-fma.f32`
6 658×	`lower-+.f64`
6 658×	`lower-+.f32`
4 090×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	959	13060
1	3088	11236
0	9269	10536

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

Inputs
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1 (* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/16 (+ (* -2 (pow (fabs x) 3)) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 2)))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2) s)) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2)))) s))) (* 1/16 (+ (* -4 (fabs x)) (* 4 (fabs x))))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/64 (/ (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2))))) s)) (+ (* 1/16 (/ (+ (* -2 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (* 2/3 (pow (fabs x) 3)))))) s)) (* 1/4 (/ (* (+ (* -4 (fabs x)) (* 4 (fabs x))) (+ (* 1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2))))))) s)))) (+ (* 1/64 (pow (+ (* -4 (fabs x)) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 (fabs x)) (* 4 (fabs x))))) s)) 1/4) s))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(/ 1 (* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(* 4 s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s)))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (+ (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))
(* 4 s)
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2)))) s)) (* 4 (fabs x)))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (/ (+ (* -2 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (* 2/3 (pow (fabs x) 3)))))) s)) (+ (* -1 (pow (fabs x) 2)) (* 4 (pow (fabs x) 2))))) s)) (* 4 (fabs x)))) s)) 4)))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* (exp (/ (fabs x) s)) (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* 2 s)
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 2 (/ (fabs x) s)))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 2 (/ (fabs x) s)) (/ (pow (fabs x) 2) (pow s 2))))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (fabs x) s)) (/ (pow (fabs x) 2) (pow s 2))))))))))))
(* 2 s)
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(/ (+ (fabs x) (* s (+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s))))))))) s)
(/ (+ (fabs x) (* s (+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s))))))))) s)
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(/ (+ (fabs x) (* s (+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s))))))))) s)
(/ (+ (fabs x) (* s (+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s))))))))) s)
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
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(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
1
(+ 1 (/ (fabs x) s))
(+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))
(+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))
1
(+ 1 (/ (fabs x) s))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
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(exp (neg (/ (fabs x) s)))
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(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
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1
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(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
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(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(- 1 (/ (fabs x) s))
(- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ (fabs x) s))
(- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ (fabs x) s))
(- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ (fabs x) s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (- s (fabs x)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (- s (fabs x)))) (pow s 2))
1
(+ 1 (* -1 (/ (fabs x) s)))
(- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ (fabs x) s))
(- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ (fabs x) s))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 (fabs x))) s)))
(+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 (fabs x))) s)))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* s (* (exp (/ (fabs x) s)) (+ 1 (exp (neg (/ (fabs x) s))))))
(* 2 s)
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 2 (/ (fabs x) s)))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 2 (/ (fabs x) s)) (/ (pow (fabs x) 2) (pow s 2))))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (fabs x) s)) (/ (pow (fabs x) 2) (pow s 2))))))))))))
(* 2 s)
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 2 (fabs x))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (+ (* -1 (/ (+ (* -1 (pow (fabs x) 2)) (+ (* -1/2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 2 (fabs x)))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/3 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3))))) s)) (+ (* -1 (pow (fabs x) 2)) (+ (* -1/2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 2 (fabs x)))) s)) 2)))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (exp (/ (fabs x) s)) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* -1 (/ (* (pow x 2) (- (* -1/6 (/ (fabs x) s)) 1/2)) s))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* 1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* 1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* 1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (log s) (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))))
(+ (* -1 (log (/ 1 s))) (* 2 (log 2)))
(+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (* 2 (log 2))))
(+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (* 2 (log 2))))))
(+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (* 2 (log 2)))))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (* 2 (log 2))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (fabs x) s)) (* 2 (log 2)))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) s))) s)) (* 2 (log 2)))))
(+ (log -1) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/3 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s))) s)) (* 2 (log 2)))))

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

rewrite564.0ms (4.7%)

Memory

6.4MiB live, 353.1MiB allocated

Rules

4 452×	`lower-*.f64`
4 442×	`lower-*.f32`
3 784×	`lower-fma.f64`
3 768×	`lower-fma.f32`
3 012×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	644
0	133	637
1	549	585
2	4239	585
0	8145	582

Stop Event

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

Counts

30 → 587

Calls

Call 1

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

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

eval511.0ms (4.3%)

Memory: 3.2MiB live, 278.9MiB allocated
Compiler: Compiled 48 242 to 4 154 computations (91.4% saved)

prune779.0ms (6.5%)

Memory

18.9MiB live, 530.4MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 420	10	1 430
Fresh	4	16	20
Picked	3	2	5
Done	0	2	2
Total	1 427	30	1 457

Accuracy

99.9%

Counts

1 457 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (log.f32 s) (/.f32 (fabs.f32 x) s))))
	99.3%	(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
	95.1%	(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))))
	33.6%	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (.f32 (/.f32 x (.f32 s s)) x) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))
	32.2%	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))
	27.2%	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
	54.3%	(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 #s(approx (+ (* (fabs x) (/ -1/4 s)) 1/2) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))
	68.1%	(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 (.f32 x x) (.f32 s s)) (-.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (log.f32 s))))) (exp.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (log.f32 s)) #s(literal 2 binary32)) (-.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (log.f32 s)))))))
	98.8%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) #s(literal 2 binary32))))
	99.4%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
✓	99.4%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
	95.4%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) #s(approx (+ 1 (exp (neg (/ (fabs x) s)))) #s(literal 2 binary32))))
	81.0%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s #s(approx (exp (/ (fabs x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 x x) (/.f32 (fabs.f32 x) s)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
	77.3%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))))) #s(approx (+ 1 (exp (neg (/ (fabs x) s)))) #s(literal 2 binary32))))
	67.5%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) #s(approx (neg (* s (+ (/ (+ (fabs x) (/ (+ (* (* x x) -1/2) (/ (+ (* (* (fabs x) (* x x)) 1/6) 0) (neg s))) (neg s))) (neg s)) -2))) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 s #s(literal 2 binary32) (fabs.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 x x)) (fabs.f32 x))) (.f32 s s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
	76.2%	(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (neg.f32 (.f32 x x)) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32)) (neg.f32 s))))
	46.7%	(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 x (neg.f32 x) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal -3 binary32) (.f32 (neg.f32 (fabs.f32 x)) (.f32 (.f32 x x) #s(literal -3 binary32)))) (neg.f32 s))) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32))))))
	98.9%	(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) s))
	99.0%	(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
	96.6%	(.f32 (exp.f32 (.f32 #s(literal -1 binary32) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
	93.8%	(exp.f32 (.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (.f32 s #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))))) #s(literal -1 binary32)))
✓	97.2%	(exp.f32 (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))))
	93.5%	(exp.f32 (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal 2 binary32) (log1p.f32 #s(approx (exp (neg (/ (fabs x) s))) #s(literal 1 binary32))) (log.f32 s)))))
	75.1%	(exp.f32 (neg.f32 #s(approx (+ (/ (fabs x) s) (+ (* 2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (log s))) (/.f32 (fabs.f32 x) s))))
	88.5%	(exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (.f32 (.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (log.f32 (.f32 #s(literal 4 binary32) s))))))
	27.6%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32)) s))
✓	23.7%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s))
✓	28.3%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
	23.7%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (*.f32 x x) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
	17.1%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 s s) (.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 s (*.f32 s s)))))

Compiler

Compiled 2 227 to 733 computations (67.1% saved)

regimes100.0ms (0.8%)

Memory

-5.2MiB live, 261.4MiB allocated

Counts

62 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

22.0ms	(neg.f32 (fabs.f32 x))
22.0ms	x
19.0ms	(fabs.f32 x)
17.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
17.0ms	s

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`s`
99.4%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
99.4%	1	`(neg.f32 (fabs.f32 x))`
99.4%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes43.0ms (0.4%)

Memory

3.6MiB live, 122.0MiB allocated

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
95.4%	1	`x`
95.4%	1	`s`
95.4%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
95.4%	1	`(neg.f32 (fabs.f32 x))`
95.4%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes39.0ms (0.3%)

Memory

-11.8MiB live, 90.4MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	(fabs.f32 x)
7.0ms	s
7.0ms	(neg.f32 (fabs.f32 x))
6.0ms	x
5.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
95.1%	1	`x`
95.1%	1	`s`
95.1%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
95.1%	1	`(neg.f32 (fabs.f32 x))`
95.1%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes33.0ms (0.3%)

Memory

-25.4MiB live, 94.5MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

(exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (neg.f32 (/.f32 (fabs.f32 x) s))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
89.5%	2	`x`
83.4%	2	`s`
89.5%	2	`(neg.f32 (fabs.f32 x))`
89.5%	2	`(fabs.f32 x)`
97.1%	2	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes30.0ms (0.2%)

Memory

6.9MiB live, 85.6MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs

(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (neg.f32 (*.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))))) #s(approx (+ 1 (exp (neg (/ (fabs x) s)))) #s(literal 2 binary32))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
77.3%	1	`s`
77.3%	1	`x`
77.3%	1	`(neg.f32 (fabs.f32 x))`
77.3%	1	`(fabs.f32 x)`
77.3%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes24.0ms (0.2%)

Memory

14.2MiB live, 53.8MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ 1/4 (/ (* (* x x) -1/16) (* s s))) s) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/16 binary32) (.f32 (.f32 s s) #s(literal 1/4 binary32))) (.f32 s (*.f32 s s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 s s) (.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 s (*.f32 s s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (.f32 (fma.f32 x (.f32 x (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (*.f32 x x) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (neg.f32 (.f32 x x)) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32)) (neg.f32 s))))
(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 #s(approx (+ (* (fabs x) (/ -1/4 s)) 1/2) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (+ (exp (neg (/ (fabs x) s))) 1)) (/.f32 (+.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (.f32 s s)) #s(literal -1/4 binary32)) (/.f32 (.f32 #s(literal 3/16 binary32) (.f32 x x)) (*.f32 s s))) (neg.f32 s)))
(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (.f32 (/.f32 x (.f32 s s)) x) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (exp (neg (/ (fabs x) s))) (+ (* s (exp (neg (/ (fabs x) s)))) s)) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32)) s)) (+.f32 #s(approx (exp (neg (/ (fabs x) s))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32)) (neg.f32 s))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
76.2%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
76.2%	1	`x`
76.2%	1	`s`
76.2%	1	`(neg.f32 (fabs.f32 x))`
76.2%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes15.0ms (0.1%)

Memory

-14.1MiB live, 27.0MiB allocated

Accuracy

Total -3.7b remaining (-16.1%)

Threshold costs -3.7b (-16.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
28.3%	1	`(neg.f32 (fabs.f32 x))`
28.3%	1	`x`
28.3%	1	`s`
28.3%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
28.3%	1	`(fabs.f32 x)`

Compiler

Compiled 43 to 22 computations (48.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.009878030978143215	0.7804854512214661

Compiler

Compiled 31 to 16 computations (48.4% saved)

simplify71.0ms (0.6%)

Memory

-0.7MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Rules

504×	`distribute-lft-neg-in_binary32`
262×	`neg-mul-1_binary32`
230×	`neg-sub0_binary32`
228×	`distribute-neg-in_binary32`
172×	`cancel-sign-sub_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	348
1	175	344
2	273	340
3	400	339
4	594	339
5	843	339
6	1022	339
7	1154	339
8	1245	339
9	1290	339
10	1316	339
11	1335	339
12	1356	339
13	1372	339
14	1388	339
15	1407	339
16	1428	339
17	1444	339
18	1460	339
19	1479	339
20	1496	339
21	1502	339

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) #s(approx (+ 1 (exp (neg (/ (fabs x) s)))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 5368709/536870912 binary32)) (exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 x (neg.f32 x) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal -3 binary32) (.f32 (neg.f32 (fabs.f32 x)) (.f32 (.f32 x x) #s(literal -3 binary32)))) (neg.f32 s))) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32)))))))
(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))))) #s(approx (+ 1 (exp (neg (/ (fabs x) s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (neg.f32 (.f32 x x)) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32)) (neg.f32 s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))

Outputs
(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (-.f32 #s(literal -1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) #s(approx (+ 1 (exp (neg (/ (fabs x) s)))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 5368709/536870912 binary32)) (exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 x (neg.f32 x) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal -3 binary32) (.f32 (neg.f32 (fabs.f32 x)) (.f32 (.f32 x x) #s(literal -3 binary32)))) (neg.f32 s))) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32)))))))
(if (<=.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))) #s(literal 5368709/536870912 binary32)) (exp.f32 #s(approx (* (+ (/ (fabs x) s) (log (* s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)))) -1) (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (.f32 s (-.f32 (/.f32 (/.f32 (fma.f32 x (neg.f32 x) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal -3 binary32) (neg.f32 (.f32 (fabs.f32 x) (.f32 (.f32 x x) #s(literal -3 binary32))))) (neg.f32 s))) (neg.f32 s)) s) #s(literal -4 binary32))))))
(/.f32 #s(literal 1 binary32) (.f32 #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (neg.f32 (.f32 s (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)) #s(literal -2 binary32))))) #s(approx (+ 1 (exp (neg (/ (fabs x) s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ 1 (exp (neg (/ (fabs x) s)))) #s(literal 2 binary32)) #s(approx ( (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (.f32 s (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 x x) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (.f32 x x)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (neg.f32 s))) s)) s) #s(literal -2 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (neg.f32 (.f32 x x)) (neg.f32 s)) #s(literal 0 binary32)) (neg.f32 s)) #s(literal -4 binary32)) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) #s(approx (* (* (+ (* s (exp (neg (/ (fabs x) s)))) s) (exp (/ (fabs x) s))) (+ 1 (exp (neg (/ (fabs x) s))))) (.f32 s (-.f32 (/.f32 (/.f32 (.f32 x x) s) s) #s(literal -4 binary32)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))

soundness1.2s (9.7%)

Memory

12.2MiB live, 965.5MiB allocated

Rules

24 918×	`lower-fma.f64`
24 918×	`lower-fma.f32`
11 408×	`lower-fma.f64`
11 408×	`lower-fma.f32`
10 638×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	271
0	70	274
1	287	254
2	1882	250
0	9010	244
0	959	13060
1	3088	11236
0	9269	10536
0	11	55
0	19	55
1	74	48
2	473	47
3	5277	46
0	8229	46
0	188	1685
1	557	1564
2	1826	1385
0	8590	1355
0	540	8429
1	1747	7122
2	6446	6971
0	8237	6776
0	908	10789
1	3003	9307
0	9243	8783

Stop Event

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

Compiler

Compiled 506 to 216 computations (57.3% saved)

preprocess65.0ms (0.5%)

Memory: 15.6MiB live, 93.0MiB allocated
Remove: (abs x)
Compiler: Compiled 574 to 246 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze44.0ms (0.4%)

sample1.5s (12.4%)

explain156.0ms (1.3%)

preprocess281.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify221.0ms (1.9%)

localize31.0ms (0.3%)

series21.0ms (0.2%)

simplify374.0ms (3.1%)

rewrite327.0ms (2.7%)

eval145.0ms (1.2%)

prune166.0ms (1.4%)

simplify249.0ms (2.1%)

localize148.0ms (1.2%)

series223.0ms (1.9%)

simplify258.0ms (2.2%)

rewrite383.0ms (3.2%)

eval472.0ms (4%)

prune449.0ms (3.8%)

simplify308.0ms (2.6%)

localize182.0ms (1.5%)

series293.0ms (2.5%)

simplify409.0ms (3.4%)

rewrite288.0ms (2.4%)

eval249.0ms (2.1%)

prune338.0ms (2.8%)

simplify246.0ms (2.1%)

localize239.0ms (2%)

series70.0ms (0.6%)

simplify441.0ms (3.7%)

rewrite564.0ms (4.7%)

eval511.0ms (4.3%)

prune779.0ms (6.5%)

regimes100.0ms (0.8%)

regimes43.0ms (0.4%)

regimes39.0ms (0.3%)

regimes33.0ms (0.3%)

regimes30.0ms (0.2%)

regimes24.0ms (0.2%)

regimes15.0ms (0.1%)

bsearch0.0ms (0%)

simplify71.0ms (0.6%)

soundness1.2s (9.7%)

preprocess65.0ms (0.5%)

end0.0ms (0%)

Profiling