Metrics for Logistic function

analyze60.0ms (0.6%)

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 18 to 13 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-exp: 9.0ms (27.4% of total)

...c/correct-round.rkt:119:19: 7.0ms (21.3% of total)

ival-div: 6.0ms (18.2% of total)

ival-add: 3.0ms (9.1% of total)

ival-<=: 3.0ms (9.1% of total)

ival-neg: 3.0ms (9.1% of total)

ival-and: 1.0ms (3% of total)

const: 1.0ms (3% of total)

backward-pass: 0.0ms (0% of total)

sample1.3s (12.4%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 782.0ms

...c/correct-round.rkt:119:19: 189.0ms (24.2% of total)

ival-add: 146.0ms (18.7% of total)

ival-div: 139.0ms (17.8% of total)

ival-<=: 111.0ms (14.2% of total)

ival-neg: 103.0ms (13.2% of total)

ival-exp: 61.0ms (7.8% of total)

ival-and: 18.0ms (2.3% of total)

const: 11.0ms (1.4% of total)

backward-pass: 4.0ms (0.5% of total)

Bogosity

preprocess47.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

714×	`fma-define`
654×	`fnmadd-define`
524×	`sum3-define`
204×	`exp-prod`
188×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	46
1	60	46
2	125	44
3	286	44
4	613	44
5	1380	44
6	1799	44
7	1864	44
8	2014	44
9	2053	44
10	2071	44
11	2072	44
0	8	8
1	17	8
2	27	8
3	41	8
4	57	8
5	78	8
6	105	8
7	160	8
8	167	8
9	171	8
0	171	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(recip (+ 1 (recip (exp (/ x s)))))
(/ 1 (+ 1 (exp (/ (neg (neg x)) s))))
(recip (+ 1 (exp (/ x s))))
(/ 1 (+ 1 (exp (/ (neg x) (neg s)))))
(recip (+ 1 (exp (/ x s))))
(neg (/ 1 (+ 1 (exp (/ (neg (neg x)) s)))))
(recip (- -1 (exp (/ x s))))
(neg (/ 1 (+ 1 (exp (/ (neg x) (neg s))))))
(recip (- -1 (exp (/ x s))))
(/ 1 (+ 1 (exp (/ (neg s) x))))
(recip (+ 1 (exp (/ s (neg x)))))

explain91.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
1	2	(-2.200051023127259e-24 6.112508368590443e-27)	1	(-1.5945724361867077e-34 2.8417339167740268e-36)	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	0	-	0	-	`x`
0	0	-	0	-	`(/.f32 (neg.f32 x) s)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	0	-	0	-	`(neg.f32 x)`
0	0	-	0	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`s`

Results

55.0ms

512×

valid

Compiler

Compiled 77 to 26 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (42.3% of total)

ival-exp: 4.0ms (21.1% of total)

ival-add: 3.0ms (15.9% of total)

ival-neg: 3.0ms (15.9% of total)

const: 1.0ms (5.3% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-32	(exp.f32 (/.f32 (neg.f32 x) s))
✓	cost-diff	-32	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓	cost-diff	-32	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	cost-diff	0	(neg.f32 x)

Rules

48×	`sum3-define`
36×	`fma-define`
32×	`+-lowering-+.f64`
32×	`-lowering-.f32`
32×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	17	29
2	27	29
3	41	29
4	57	29
5	78	29
6	105	29
7	160	29
8	167	29
9	171	29
0	171	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize41.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f32 x)
✓	accuracy	99.9%	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓	accuracy	99.8%	(exp.f32 (/.f32 (neg.f32 x) s))
✓	accuracy	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

30.0ms

256×

valid

Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions

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

ival-div: 4.0ms (41.6% of total)

ival-exp: 2.0ms (20.8% of total)

ival-add: 1.0ms (10.4% of total)

ival-neg: 1.0ms (10.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`-lowering-.f32`
390×	`-lowering-.f64`
344×	`/-lowering-/.f32`
344×	`/-lowering-/.f64`
148×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	31	22
2	110	22
3	393	22
0	1190	22

Stop Event

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

Counts

4 → 92

Calls

Call 1

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

Outputs
(neg.f32 x)
(neg.f32 (log.f32 (exp.f32 x)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32)))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(pow.f32 (neg.f32 x) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) x)
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 x)))
(/.f32 x #s(literal -1 binary32))
(/.f32 (neg.f32 x) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x))
(*.f32 x #s(literal -1 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(log.f32 (/.f32 #s(literal 1 binary32) (exp.f32 x)))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) #s(literal -1 binary32))
(neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(-.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(-.f32 (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))) #s(literal -1 binary32))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))) #s(literal -1 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) (neg.f32 x)))
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 (neg.f32 x) s))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal -1 binary32)) x)
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (neg.f32 x) s)))

simplify205.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3402×	`-lowering-.f32`
3402×	`-lowering-.f64`
1910×	`+-lowering-+.f64`
1910×	`+-lowering-+.f32`
1086×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	619
1	405	573
2	1414	570
3	5777	570
0	8544	570

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval14.0ms (0.1%)

Compiler: Compiled 1958 to 400 computations (79.6% saved)

prune24.0ms (0.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	164	12	176
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	13	177

Accuracy

99.9%

Counts

177 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
	99.7%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
	57.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
	55.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
	54.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
▶	57.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	28.4%	(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
▶	26.3%	(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
▶	99.8%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
▶	32.6%	#s(literal 1/2 binary32)

Compiler

Compiled 391 to 274 computations (29.9% saved)

simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s)
✓	cost-diff	128	(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s))
✓	cost-diff	192	(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s)))
✓	cost-diff	192	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s))))
✓	cost-diff	0	(*.f32 x #s(literal 1/4 binary32))
✓	cost-diff	64	(+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s))
✓	cost-diff	64	(/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s)
✓	cost-diff	64	(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
✓	cost-diff	0	(/.f32 x s)
✓	cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓	cost-diff	-32	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
✓	cost-diff	-32	(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
✓	cost-diff	0	(neg.f32 x)
✓	cost-diff	6272	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Rules

1782×	`-lowering-.f32`
1782×	`-lowering-.f64`
1696×	`sum5-define`
1470×	`fma-define`
1056×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	279
1	83	272
2	150	268
3	279	261
4	530	248
5	793	242
6	1473	242
7	5378	242
0	8124	242

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize731.0ms (6.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s))))
✓	accuracy	95.7%	(/.f32 (.f32 x (.f32 x x)) s)
✓	accuracy	92.1%	(+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32)))
✓	accuracy	89.4%	(/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)
✓	accuracy	99.7%	(/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s)
✓	accuracy	99.4%	(.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (*.f32 x x)) s))
✓	accuracy	95.7%	(/.f32 (.f32 x (.f32 x x)) s)
✓	accuracy	92.5%	(/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)
✓	accuracy	100.0%	(/.f32 x s)
✓	accuracy	100.0%	(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓	accuracy	98.3%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓	accuracy	100.0%	(neg.f32 x)
✓	accuracy	99.8%	(exp.f32 (/.f32 (neg.f32 x) s))
✓	accuracy	99.8%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	accuracy	95.2%	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Results

505.0ms	90×	5	exit
103.0ms	83×	1	valid
48.0ms	83×	0	valid

Compiler

Compiled 335 to 38 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-mult: 278.0ms (60% of total)

backward-pass: 54.0ms (11.7% of total)

ival-div: 35.0ms (7.6% of total)

...c/correct-round.rkt:119:19: 21.0ms (4.5% of total)

compiled-spec: 20.0ms (4.3% of total)

ival-add: 15.0ms (3.2% of total)

ival-exp: 14.0ms (3% of total)

ival-neg: 9.0ms (1.9% of total)

ival-log: 9.0ms (1.9% of total)

ival-sub: 6.0ms (1.3% of total)

const: 2.0ms (0.4% of total)

series132.0ms (1.3%)

Counts

21 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
24.0ms	x	@	-inf	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
20.0ms	s	@	0	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
20.0ms	x	@	-inf	(+ (* x (* x -1/2)) (* (/ (* x (* x x)) s) 1/6))
3.0ms	x	@	inf	(/ 1 (+ 1 (- 1 (/ (+ x (/ (+ (* x (* x -1/2)) (* (/ (* x (* x x)) s) 1/6)) s)) s))))

rewrite264.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2602×	`/-lowering-/.f32`
2602×	`/-lowering-/.f64`
2584×	`-lowering-.f32`
2584×	`-lowering-.f64`
1776×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	213
1	135	207
2	539	203
3	2697	203
0	8280	203

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 790

Calls

Call 1

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

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

simplify280.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4788×	`-lowering-.f32`
4788×	`-lowering-.f64`
2586×	`+-lowering-+.f64`
2586×	`+-lowering-+.f32`
1518×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	707	5425
1	2355	4611
0	8544	4611

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)
(/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)
(* -1 (/ s x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
(* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(* 1/4 (/ x s))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(* 1/4 (/ x s))
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(* 1/4 (/ x s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* 1/4 x)
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(* 1/4 x)
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(* 1/4 x)
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (- (* 1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) (pow s 3))
(/ (- (* s (- (* -1 (* s x)) (* -1/2 (pow x 2)))) (* 1/6 (pow x 3))) (pow s 3))
(/ (- (* s (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2)))) (* 1/6 (pow x 3))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 2 (* -1/6 (/ (pow x 3) (pow s 3)))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)) (* -1 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (/ 1 (pow x 3))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (- (* 1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) (pow s 3))
(/ (- (* s (- (* -1 (* s x)) (* -1/2 (pow x 2)))) (* 1/6 (pow x 3))) (pow s 3))
(/ (- (* s (- (* s (- s x)) (* -1/2 (pow x 2)))) (* 1/6 (pow x 3))) (pow s 3))
1
(+ 1 (* -1 (/ x s)))
(- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 1 (* -1/6 (/ (pow x 3) (pow s 3)))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)) (* -1 x)) s)))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* 1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))
(* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 1/2 (* (pow s 2) x))))
(* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 1/2 (* (pow s 2) x))))
(* 1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* 1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) (pow s 3))
(/ (+ (* 1/6 (pow x 3)) (* s (+ (* -1/2 (pow x 2)) (* s x)))) (pow s 3))
(/ (+ (* 1/6 (pow x 3)) (* s (+ (* -1/2 (pow x 2)) (* s x)))) (pow s 3))
(/ x s)
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (+ x (+ (* -1/2 (/ (pow x 2) s)) (* 1/6 (/ (pow x 3) (pow s 2))))) s)
(/ (+ x (+ (* -1/2 (/ (pow x 2) s)) (* 1/6 (/ (pow x 3) (pow s 2))))) s)
(/ x s)
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) (pow s 2))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) (pow s 2))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) (pow s 2))
(* -1/2 (/ (pow x 2) s))
(/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)
(/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)
(/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)
(* -1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))
(* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))
(* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ x s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ x s)) 1/2))
(* (pow x 2) (- (* 1/6 (/ x s)) 1/2))
(* 1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))))
(* 1/6 (/ (pow x 3) s))
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) s)
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) s)
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) s)
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))
(+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))

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

eval183.0ms (1.7%)

Compiler: Compiled 28792 to 4641 computations (83.9% saved)

prune166.0ms (1.6%)

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	1319	27	1346
Fresh	0	7	7
Picked	2	3	5
Done	0	1	1
Total	1321	38	1359

Accuracy

99.9%

Counts

1359 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.2%	(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
	35.6%	(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
	34.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
	42.9%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
	22.3%	(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
	42.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
	54.8%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
	58.8%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)) s)))
✓	42.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
	42.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
	42.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
	42.1%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
	99.7%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
▶	51.8%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	57.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
	55.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
	54.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
	39.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
	56.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))
	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (.f32 x x))))))) s))))
	45.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))))) s))))
	49.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	42.8%	(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
	28.4%	(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
▶	20.3%	(-.f32 #s(literal 0 binary32) (/.f32 s x))
	20.3%	(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
	26.8%	(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
	21.1%	(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
	18.0%	(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
▶	99.8%	(exp.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))))
✓	99.8%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	99.7%	(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
✓	32.6%	#s(literal 1/2 binary32)

Compiler

Compiled 1227 to 832 computations (32.2% saved)

simplify173.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x)
✓	cost-diff	128	(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)
✓	cost-diff	128	(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))
✓	cost-diff	128	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 x x))
✓	cost-diff	0	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))
✓	cost-diff	64	(+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓	cost-diff	0	(.f32 (.f32 s s) #s(literal -2 binary32))
✓	cost-diff	0	(/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x)
✓	cost-diff	0	(-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s)
✓	cost-diff	0	(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
✓	cost-diff	0	(/.f32 s x)
✓	cost-diff	0	(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
✓	cost-diff	0	(log1p.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
✓	cost-diff	0	(neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	cost-diff	6304	(exp.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))))

Rules

2786×	`-lowering-.f32`
2786×	`-lowering-.f64`
2032×	`fnmsub-define`
1468×	`sum4-define`
1046×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	275
1	96	265
2	196	248
3	424	242
4	929	238
5	1910	238
6	5194	238
0	8083	238

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(neg (log (+ 1 (/ 1 (exp (/ x s))))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (exp (/ x s)))
1
(exp (/ x s))
(/ x s)
x
s
(- 0 (/ s x))
0
(/ s x)
s
x
(/ (- (/ (* (* s s) -2) x) s) x)
(- (/ (* (* s s) -2) x) s)
(/ (* (* s s) -2) x)
(* (* s s) -2)
(* s s)
s
-2
x
(/ 1 (+ (/ (* 1/2 (* x x)) (* s s)) (- 2 (/ x s))))
1
(+ (/ (* 1/2 (* x x)) (* s s)) (- 2 (/ x s)))
(/ (* 1/2 (* x x)) (* s s))
(* 1/2 (* x x))
1/2
(* x x)
x
(* s s)
s
(- 2 (/ x s))
2
(/ x s)
(/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)))
1
(+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s))
2
(/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)
(- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x)
(/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s)
(+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2)))
(/ (* x (* x (* x -1/6))) s)
(* x (* x (* x -1/6)))
x
(* x (* x -1/6))
(* x -1/6)
-1/6
s
(* x (* x 1/2))
(* x 1/2)
1/2

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

localize296.0ms (2.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
✓	accuracy	95.4%	(/.f32 (.f32 x (.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
✓	accuracy	89.4%	(/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)
✓	accuracy	88.6%	(+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32))))
✓	accuracy	100.0%	(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓	accuracy	98.6%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓	accuracy	93.1%	(+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓	accuracy	82.0%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))
✓	accuracy	99.9%	(-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s)
✓	accuracy	99.9%	(.f32 (.f32 s s) #s(literal -2 binary32))
✓	accuracy	99.8%	(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
✓	accuracy	89.6%	(/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x)
✓	accuracy	100.0%	(/.f32 s x)
✓	accuracy	100.0%	(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓	accuracy	99.9%	(exp.f32 (/.f32 x s))
✓	accuracy	99.8%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
✓	accuracy	99.8%	(exp.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))))
✓	accuracy	95.2%	(log1p.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))

Results

110.0ms	83×	1	valid
80.0ms	83×	0	valid
49.0ms	90×	0	unsamplable

Compiler

Compiled 315 to 40 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 27.0ms (24.9% of total)

ival-mult: 25.0ms (23% of total)

compiled-spec: 12.0ms (11.1% of total)

backward-pass: 10.0ms (9.2% of total)

ival-log: 8.0ms (7.4% of total)

ival-add: 7.0ms (6.5% of total)

ival-sub: 7.0ms (6.5% of total)

...c/correct-round.rkt:119:19: 6.0ms (5.5% of total)

ival-exp: 5.0ms (4.6% of total)

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

const: 1.0ms (0.9% of total)

series98.0ms (0.9%)

Counts

23 → 528

Calls

Call 1

Inputs
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (neg (log (+ 1 (/ 1 (exp (/ x s))))))>
#<alt (log (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (- 0 (/ s x))>
#<alt (/ s x)>
#<alt (/ (- (/ (* (* s s) -2) x) s) x)>
#<alt (- (/ (* (* s s) -2) x) s)>
#<alt (/ (* (* s s) -2) x)>
#<alt (* (* s s) -2)>
#<alt (/ 1 (+ (/ (* 1/2 (* x x)) (* s s)) (- 2 (/ x s))))>
#<alt (+ (/ (* 1/2 (* x x)) (* s s)) (- 2 (/ x s)))>
#<alt (/ (* 1/2 (* x x)) (* s s))>
#<alt (* 1/2 (* x x))>
#<alt (/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)))>
#<alt (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s))>
#<alt (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)>
#<alt (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x)>
#<alt (exp (/ x s))>
#<alt (- 2 (/ x s))>
#<alt (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2)))>
#<alt (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s)>
#<alt (/ (* x (* x (* x -1/6))) s)>

Outputs
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) (+ (* -1/6 (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))>
#<alt (exp (neg (log 2)))>
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#<alt (* -1 (log 2))>
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#<alt (* -1 (log 2))>
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#<alt (log 2)>
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#<alt (log 2)>
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#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))))))>
#<alt (log 2)>
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#<alt (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) s)) (* 1/2 x)) s)))>
#<alt 1>
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#<alt (/ 1 (exp (/ x s)))>
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#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
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#<alt (/ 1 (exp (/ x s)))>
#<alt 1>
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#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))>
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#<alt (* -1 (/ s x))>
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#<alt (/ s x)>
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#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 s)>
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#<alt (* s (- (* -2 (/ s x)) 1))>
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#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -2 (/ (pow s 2) x))>
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#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
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#<alt (* -1 s)>
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#<alt (* -1 s)>
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#<alt (* -2 (/ (pow s 2) x))>
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#<alt (* -2 (pow s 2))>
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#<alt (* -2 (pow s 2))>
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#<alt (* -2 (pow s 2))>
#<alt 1/2>
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#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
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#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
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#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
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#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
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#<alt 2>
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#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
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#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))>
#<alt 2>
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#<alt (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))>
#<alt 2>
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#<alt (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
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#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
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#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
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#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
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#<alt 1/2>
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#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (/ x s))>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>

Calls

132 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
19.0ms	s	@	0	(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
19.0ms	x	@	-inf	(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
3.0ms	s	@	inf	(/ (* 1/2 (* x x)) (* s s))
3.0ms	x	@	0	(neg (log (+ 1 (/ 1 (exp (/ x s))))))

rewrite303.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2796×	`-lowering-.f32`
2796×	`-lowering-.f64`
2332×	`/-lowering-/.f32`
2332×	`/-lowering-/.f64`
1944×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	223
1	159	213
2	719	197
3	6101	197
0	8296	197

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 868

Calls

Call 1

Inputs
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(neg (log (+ 1 (/ 1 (exp (/ x s))))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (exp (/ x s)))
(- 0 (/ s x))
(/ s x)
(/ (- (/ (* (* s s) -2) x) s) x)
(- (/ (* (* s s) -2) x) s)
(/ (* (* s s) -2) x)
(* (* s s) -2)
(/ 1 (+ (/ (* 1/2 (* x x)) (* s s)) (- 2 (/ x s))))
(+ (/ (* 1/2 (* x x)) (* s s)) (- 2 (/ x s)))
(/ (* 1/2 (* x x)) (* s s))
(* 1/2 (* x x))
(/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)))
(+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s))
(/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)
(- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x)
(exp (/ x s))
(- 2 (/ x s))
(+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2)))
(/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s)
(/ (* x (* x (* x -1/6))) s)

Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
(neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(+.f32 (neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
(*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32))
(neg.f32 (/.f32 s x))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 s x)))
(+.f32 (-.f32 #s(literal 0 binary32) (/.f32 s x)) #s(literal 0 binary32))
(pow.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -1 binary32))
(fma.f32 s (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 s x) #s(literal 0 binary32))
(fma.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
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(.f32 (.f32 x x) (.f32 (.f32 x #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) s)))
(.f32 (.f32 x x) (*.f32 (/.f32 #s(literal -1/6 binary32) s) x))
(.f32 #s(literal -1/6 binary32) (.f32 (*.f32 x x) (/.f32 x s)))
(.f32 (.f32 x #s(literal -1/6 binary32)) (*.f32 x (/.f32 x s)))
(.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (/.f32 x s))
(.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 x (/.f32 s (.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (/.f32 (.f32 x #s(literal 1/6 binary32)) s)))
(.f32 (neg.f32 x) (/.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (neg.f32 s)))
(.f32 (neg.f32 x) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (/.f32 #s(literal -1 binary32) s)))
(.f32 (.f32 x (.f32 x (.f32 x #s(literal 1/6 binary32)))) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 x (/.f32 x s)) (*.f32 x #s(literal -1/6 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) x)
(.f32 (.f32 x (*.f32 x #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal -1 binary32) s)))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 x x)) (/.f32 (*.f32 x #s(literal -1/6 binary32)) (neg.f32 s)))
(.f32 (/.f32 #s(literal -1 binary32) s) (.f32 x (.f32 x (.f32 x #s(literal 1/6 binary32)))))
(.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))
(.f32 (/.f32 (.f32 x #s(literal -1/6 binary32)) s) (*.f32 x x))
(.f32 (.f32 #s(literal 1 binary32) (.f32 x x)) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))
(.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (.f32 x (*.f32 x #s(literal 1/6 binary32))) s))
(.f32 (/.f32 (.f32 x x) #s(literal -1 binary32)) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s))
(.f32 (/.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(.f32 (/.f32 (.f32 x (*.f32 x #s(literal 1/6 binary32))) #s(literal -1 binary32)) (/.f32 x s))
(.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal -1 binary32)) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -1/6 binary32))) (/.f32 x s))
(.f32 (.f32 #s(literal 1 binary32) (.f32 x (.f32 x (*.f32 x #s(literal 1/6 binary32))))) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (/.f32 #s(literal -1 binary32) s)) (neg.f32 x))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x x))) #s(literal -1/6 binary32))

simplify365.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5194×	`-lowering-.f32`
5194×	`-lowering-.f64`
3262×	`+-lowering-+.f64`
3262×	`+-lowering-+.f32`
1626×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	728	5891
1	2452	4937
0	8976	4937

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log (+ 1 (/ 1 (exp (/ x s)))))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) (+ (* -1/6 (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log (+ 1 (/ 1 (exp (/ x s))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log (+ 1 (/ 1 (exp (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* -2 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -2 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -2 (/ (pow s 2) (pow x 2)))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(* -1 (/ s x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 s)
(* s (- (* -2 (/ s x)) 1))
(* s (- (* -2 (/ s x)) 1))
(* s (- (* -2 (/ s x)) 1))
(* -2 (/ (pow s 2) x))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -2 (/ (pow s 2) x))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -2 (/ (pow s 2) x))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)
(* -1 s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(* -1 s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
1
(+ 1 (/ x s))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
1
(+ 1 (/ x s))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1
(+ 1 (/ x s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))

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

eval147.0ms (1.4%)

Compiler: Compiled 25205 to 3830 computations (84.8% saved)

prune198.0ms (1.9%)

Pruning

43 alts after pruning (38 fresh and 5 done)

	Pruned	Kept	Total
New	1372	24	1396
Fresh	15	14	29
Picked	4	1	5
Done	0	4	4
Total	1391	43	1434

Accuracy

99.9%

Counts

1434 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.3%	(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
	20.3%	(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
	18.9%	(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
	35.6%	(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
	35.5%	(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
	36.0%	(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
▶	20.3%	(/.f32 (neg.f32 s) x)
	34.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
	35.6%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
	42.9%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
▶	36.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
	58.8%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)))) s)) s)))
✓	42.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
	99.7%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
▶	51.2%	(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	59.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x)))))
	56.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
	58.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s) x) s)))
	42.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) #s(literal 1 binary32))) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) (/.f32 s x)))))
▶	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
	59.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s)))
	53.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x)) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) s))))
	46.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x x) (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))) s)))
	55.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
▶	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
	39.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
	49.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	22.3%	(/.f32 #s(literal -1 binary32) (/.f32 x s))
	18.9%	(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
	28.4%	(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
	16.6%	(+.f32 (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32))))) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 s s)) (/.f32 (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32)))))) (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/3 binary32)))) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 x (.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) #s(literal -3/2 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/48 binary32)))))) (.f32 s (.f32 s s)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal 1/4 binary32)) s)))
	20.3%	(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
	26.8%	(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
	21.1%	(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
	18.0%	(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
	20.3%	(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓	99.8%	(exp.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))))
✓	99.8%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	99.7%	(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
✓	32.6%	#s(literal 1/2 binary32)

Compiler

Compiled 1594 to 999 computations (37.3% saved)

simplify160.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x)
✓	cost-diff	64	(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)
✓	cost-diff	64	(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x))
✓	cost-diff	64	(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓	cost-diff	0	(/.f32 x #s(literal 2 binary32))
✓	cost-diff	0	(*.f32 x (/.f32 x #s(literal 2 binary32)))
✓	cost-diff	0	(/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
✓	cost-diff	-32	(/.f32 (neg.f32 s) x)
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	0	(exp.f32 #s(literal -1 binary32))
✓	cost-diff	0	(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))

Rules

1854×	`-lowering-.f32`
1854×	`-lowering-.f64`
1762×	`fmsub-define`
1682×	`fmm-def`
1662×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	243
1	98	234
2	269	229
3	846	225
4	2779	224
5	5423	224
0	8017	224

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ 1 (pow (exp -1) (/ x s))))
1
(+ 1 (pow (exp -1) (/ x s)))
(pow (exp -1) (/ x s))
(exp -1)
-1
(/ x s)
x
s
(/ (neg s) x)
(neg s)
s
x
(/ 1 (/ (* x (/ x 2)) (* s s)))
1
(/ (* x (/ x 2)) (* s s))
(* x (/ x 2))
x
(/ x 2)
2
(* s s)
s
(/ 1 (+ (* (/ 1/2 (* s s)) (* x x)) (- 2 (/ x s))))
1
(+ (* (/ 1/2 (* s s)) (* x x)) (- 2 (/ x s)))
(* (/ 1/2 (* s s)) (* x x))
(/ 1/2 (* s s))
1/2
(* s s)
s
(* x x)
x
(- 2 (/ x s))
2
(/ x s)
(/ 1 (+ 2 (/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s)))
1
(+ 2 (/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s))
2
(/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s)
(- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x)
(* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s)))))
(/ 1 s)
s
(* x (* x (+ 1/2 (/ (* x -1/6) s))))
x
(* x (+ 1/2 (/ (* x -1/6) s)))
(+ 1/2 (/ (* x -1/6) s))
1/2
(/ (* x -1/6) s)
(* x -1/6)
-1/6

Outputs
(/ 1 (+ 1 (pow (exp -1) (/ x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
1
#s(literal 1 binary32)
(+ 1 (pow (exp -1) (/ x s)))
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow (exp -1) (/ x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp -1)
(exp.f32 #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(/ x s)
(/.f32 x s)
x
s
(/ (neg s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(neg s)
(neg.f32 s)
s
x
(/ 1 (/ (* x (/ x 2)) (* s s)))
(/.f32 s (*.f32 x (/.f32 (/.f32 x s) #s(literal 2 binary32))))
1
#s(literal 1 binary32)
(/ (* x (/ x 2)) (* s s))
(/.f32 (.f32 x x) (.f32 s (*.f32 s #s(literal 2 binary32))))
(* x (/ x 2))
(/.f32 (*.f32 x x) #s(literal 2 binary32))
x
(/ x 2)
(/.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
(* s s)
(*.f32 s s)
s
(/ 1 (+ (* (/ 1/2 (* s s)) (* x x)) (- 2 (/ x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
1
#s(literal 1 binary32)
(+ (* (/ 1/2 (* s s)) (* x x)) (- 2 (/ x s)))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(* (/ 1/2 (* s s)) (* x x))
(/.f32 (.f32 x x) (.f32 s (*.f32 s #s(literal 2 binary32))))
(/ 1/2 (* s s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
1/2
#s(literal 1/2 binary32)
(* s s)
(*.f32 s s)
s
(* x x)
(*.f32 x x)
x
(- 2 (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(/ x s)
(/.f32 x s)
(/ 1 (+ 2 (/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (-.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) s)))))
1
#s(literal 1 binary32)
(+ 2 (/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s))
(-.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (-.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) s))))
2
#s(literal 2 binary32)
(/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s)
(/.f32 (.f32 x (+.f32 #s(literal -1 binary32) (.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))))) s)
(- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x)
(.f32 x (+.f32 #s(literal -1 binary32) (.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32))))))
(* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s)))))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (/.f32 x s) #s(literal -1/6 binary32))) (/.f32 (*.f32 x x) s))
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
s
(* x (* x (+ 1/2 (/ (* x -1/6) s))))
(.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))))
x
(* x (+ 1/2 (/ (* x -1/6) s)))
(.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (/.f32 x s) #s(literal -1/6 binary32))))
(+ 1/2 (/ (* x -1/6) s))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))
1/2
#s(literal 1/2 binary32)
(/ (* x -1/6) s)
(*.f32 (/.f32 x s) #s(literal -1/6 binary32))
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)

localize296.0ms (2.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
✓	accuracy	99.0%	(*.f32 x #s(literal -1/6 binary32))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
✓	accuracy	89.3%	(.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s)))))
✓	accuracy	99.5%	(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
✓	accuracy	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓	accuracy	93.1%	(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓	accuracy	77.5%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x))
✓	accuracy	100.0%	(*.f32 x (/.f32 x #s(literal 2 binary32)))
✓	accuracy	100.0%	(*.f32 s s)
✓	accuracy	97.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
✓	accuracy	79.3%	(/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s))
✓	accuracy	100.0%	(/.f32 (neg.f32 s) x)
✓	accuracy	100.0%	(neg.f32 s)
✓	accuracy	100.0%	(exp.f32 #s(literal -1 binary32))
✓	accuracy	99.9%	(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
✓	accuracy	99.9%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
✓	accuracy	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))

Results

245.0ms

256×

valid

Compiler

Compiled 283 to 37 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 21.0ms (33.3% of total)

ival-mult: 13.0ms (20.6% of total)

ival-pow: 10.0ms (15.9% of total)

ival-add: 5.0ms (7.9% of total)

ival-exp: 4.0ms (6.4% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.4% of total)

ival-sub: 3.0ms (4.8% of total)

const: 1.0ms (1.6% of total)

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

backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts

22 → 432

Calls

Call 1

Inputs
#<alt (/ 1 (+ 1 (pow (exp -1) (/ x s))))>
#<alt (+ 1 (pow (exp -1) (/ x s)))>
#<alt (pow (exp -1) (/ x s))>
#<alt (exp -1)>
#<alt (neg s)>
#<alt (/ (neg s) x)>
#<alt (/ 1 (/ (* x (/ x 2)) (* s s)))>
#<alt (/ (* x (/ x 2)) (* s s))>
#<alt (* x (/ x 2))>
#<alt (/ x 2)>
#<alt (/ 1 (+ (* (/ 1/2 (* s s)) (* x x)) (- 2 (/ x s))))>
#<alt (+ (* (/ 1/2 (* s s)) (* x x)) (- 2 (/ x s)))>
#<alt (* (/ 1/2 (* s s)) (* x x))>
#<alt (/ 1/2 (* s s))>
#<alt (/ 1 (+ 2 (/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s)))>
#<alt (+ 2 (/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s))>
#<alt (/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s)>
#<alt (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x)>
#<alt (* s s)>
#<alt (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s)))))>
#<alt (* x -1/6)>
#<alt (/ (* x -1/6) s)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>

Calls

108 calls:

Time	Variable		Point	Expression
2.0ms	s	@	inf	(/ 1/2 (* s s))
1.0ms	s	@	0	(/ 1 (/ (* x (/ x 2)) (* s s)))
1.0ms	x	@	0	(/ 1 (+ 1 (pow (exp -1) (/ x s))))
0.0ms	x	@	0	(/ 1 (/ (* x (/ x 2)) (* s s)))
0.0ms	s	@	inf	(/ 1 (/ (* x (/ x 2)) (* s s)))

rewrite339.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3120×	`-lowering-.f32`
3120×	`-lowering-.f64`
2638×	`/-lowering-/.f32`
2638×	`/-lowering-/.f64`
1376×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	179
1	173	169
2	875	165
0	8374	165

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 944

Calls

Call 1

Inputs
(/ 1 (+ 1 (pow (exp -1) (/ x s))))
(+ 1 (pow (exp -1) (/ x s)))
(pow (exp -1) (/ x s))
(exp -1)
(neg s)
(/ (neg s) x)
(/ 1 (/ (* x (/ x 2)) (* s s)))
(/ (* x (/ x 2)) (* s s))
(* x (/ x 2))
(/ x 2)
(/ 1 (+ (* (/ 1/2 (* s s)) (* x x)) (- 2 (/ x s))))
(+ (* (/ 1/2 (* s s)) (* x x)) (- 2 (/ x s)))
(* (/ 1/2 (* s s)) (* x x))
(/ 1/2 (* s s))
(/ 1 (+ 2 (/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s)))
(+ 2 (/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s))
(/ (- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x) s)
(- (* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s))))) x)
(* s s)
(* (/ 1 s) (* x (* x (+ 1/2 (/ (* x -1/6) s)))))
(* x -1/6)
(/ (* x -1/6) s)

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

simplify315.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4774×	`-lowering-.f32`
4774×	`-lowering-.f64`
1904×	`/-lowering-/.f32`
1904×	`/-lowering-/.f64`
1672×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	4292
1	1549	3700
2	5437	3572
0	8809	3572

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))

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

eval121.0ms (1.1%)

Compiler: Compiled 23731 to 3523 computations (85.2% saved)

prune265.0ms (2.5%)

Pruning

56 alts after pruning (48 fresh and 8 done)

	Pruned	Kept	Total
New	1385	23	1408
Fresh	8	25	33
Picked	2	3	5
Done	0	5	5
Total	1395	56	1451

Accuracy

99.9%

Counts

1451 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.0%	(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
	35.0%	(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
	35.0%	(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
	37.6%	(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
	20.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
	20.3%	(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
	34.1%	(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
	18.9%	(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
	35.6%	(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
	35.5%	(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
	36.0%	(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
✓	20.3%	(/.f32 (neg.f32 s) x)
	36.0%	(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
	38.1%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
	33.9%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
	42.9%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
	36.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
	59.9%	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
	58.8%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)))) s)) s)))
✓	42.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
	99.7%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
	59.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x)))))
	61.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) #s(literal -1 binary32)))))))
	56.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
	58.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s) x) s)))
	59.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s)))
	42.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) #s(literal 1 binary32))) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) (/.f32 s x)))))
✓	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 x) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1 binary32) s))))))) x) s)))
	55.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) s)) (.f32 x s)) (*.f32 s s))))
	53.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) x)) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) s))))
	52.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
	44.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))) s)))
	55.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
	39.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
	49.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	36.4%	(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
	22.3%	(/.f32 #s(literal -1 binary32) (/.f32 x s))
	18.9%	(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
	28.4%	(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
	16.6%	(+.f32 (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32))))) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 s s)) (/.f32 (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32)))))) (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/3 binary32)))) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 x (.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) #s(literal -3/2 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/48 binary32)))))) (.f32 s (.f32 s s)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal 1/4 binary32)) s)))
	20.3%	(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
	26.8%	(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
	21.1%	(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
	18.0%	(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
	34.5%	(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
	20.3%	(*.f32 (/.f32 #s(literal -1 binary32) x) s)
	32.9%	(.f32 s (.f32 (.f32 s s) (+.f32 (/.f32 (.f32 s #s(literal -18 binary32)) (.f32 (.f32 x (.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (.f32 x (*.f32 x x))))))
✓	99.8%	(exp.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))))
✓	99.8%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	99.7%	(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
✓	32.6%	#s(literal 1/2 binary32)

Compiler

Compiled 2546 to 1131 computations (55.6% saved)

regimes200.0ms (1.9%)

Counts

87 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)))) s)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x x) (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(.f32 s (.f32 (.f32 s s) (+.f32 (/.f32 (.f32 s #s(literal -18 binary32)) (.f32 (.f32 x (.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) #s(literal -1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 x) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1 binary32) s))))))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (.f32 x x))))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) s)) (.f32 x s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x)) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) x)) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) #s(literal 1 binary32))) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) #s(literal 1 binary32))) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) (/.f32 s x)))))
(+.f32 (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32))))) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 s s)) (/.f32 (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32)))))) (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/3 binary32)))) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 x (.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) #s(literal -3/2 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/48 binary32)))))) (.f32 s (.f32 s s)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal 1/4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))

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

Calls

7 calls:

49.0ms	(/.f32 (neg.f32 x) s)
32.0ms	(neg.f32 x)
25.0ms	x
24.0ms	s
20.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes203.0ms (1.9%)

Counts

84 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)))) s)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x x) (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(.f32 s (.f32 (.f32 s s) (+.f32 (/.f32 (.f32 s #s(literal -18 binary32)) (.f32 (.f32 x (.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) #s(literal -1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 x) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1 binary32) s))))))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (.f32 x x))))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) s)) (.f32 x s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x)) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) x)) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) #s(literal 1 binary32))) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) #s(literal 1 binary32))) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) (/.f32 s x)))))
(+.f32 (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32))))) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 s s)) (/.f32 (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32)))))) (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/3 binary32)))) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 x (.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) #s(literal -3/2 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/48 binary32)))))) (.f32 s (.f32 s s)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal 1/4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))

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

Calls

7 calls:

40.0ms	x
30.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
23.0ms	(/.f32 (neg.f32 x) s)
22.0ms	(neg.f32 x)
21.0ms	s

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes158.0ms (1.5%)

Counts

83 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)))) s)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x x) (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(.f32 s (.f32 (.f32 s s) (+.f32 (/.f32 (.f32 s #s(literal -18 binary32)) (.f32 (.f32 x (.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) #s(literal -1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 x) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1 binary32) s))))))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (.f32 x x))))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) s)) (.f32 x s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x)) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) x)) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) #s(literal 1 binary32))) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) #s(literal 1 binary32))) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) (/.f32 s x)))))
(+.f32 (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32))))) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 s s)) (/.f32 (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32)))))) (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/3 binary32)))) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 x (.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) #s(literal -3/2 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/48 binary32)))))) (.f32 s (.f32 s s)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal 1/4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))

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

Calls

7 calls:

24.0ms	s
24.0ms	(neg.f32 x)
23.0ms	(/.f32 (neg.f32 x) s)
22.0ms	x
19.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes184.0ms (1.7%)

Counts

81 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)))) s)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x x) (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(.f32 s (.f32 (.f32 s s) (+.f32 (/.f32 (.f32 s #s(literal -18 binary32)) (.f32 (.f32 x (.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) #s(literal -1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 x) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1 binary32) s))))))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (.f32 x x))))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) s)) (.f32 x s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x)) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) x)) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) #s(literal 1 binary32))) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) #s(literal 1 binary32))) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) (/.f32 s x)))))
(+.f32 (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32))))) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 s s)) (/.f32 (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32)))))) (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/3 binary32)))) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 x (.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) #s(literal -3/2 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/48 binary32)))))) (.f32 s (.f32 s s)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal 1/4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

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

Calls

7 calls:

39.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
31.0ms	s
23.0ms	x
22.0ms	(neg.f32 x)
20.0ms	(/.f32 (neg.f32 x) s)

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes96.0ms (0.9%)

Counts

80 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)))) s)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x x) (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(.f32 s (.f32 (.f32 s s) (+.f32 (/.f32 (.f32 s #s(literal -18 binary32)) (.f32 (.f32 x (.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) #s(literal -1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 x) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1 binary32) s))))))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (.f32 x x))))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) s)) (.f32 x s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x)) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 s (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) x)) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) #s(literal 1 binary32))) (.f32 (/.f32 s (.f32 (/.f32 x s) (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) #s(literal 1 binary32))) (.f32 (/.f32 s (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x))) (/.f32 s x)))))
(+.f32 (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32))))) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 s s)) (/.f32 (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 x (+.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x (.f32 x #s(literal -1/4 binary32)))))) (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/3 binary32)))) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 x (.f32 (.f32 x (.f32 x #s(literal -1/2 binary32))) #s(literal -3/2 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/48 binary32)))))) (.f32 s (.f32 s s)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal 1/4 binary32)) s)))

Outputs

#s(literal 1/2 binary32)

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

Calls

4 calls:

25.0ms	s
21.0ms	(neg.f32 x)
21.0ms	x
20.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
67.5%	2	`x`
61.0%	1	`s`
68.3%	2	`(/.f32 (neg.f32 x) s)`
67.5%	2	`(neg.f32 x)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes62.0ms (0.6%)

Counts

66 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)))) s)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x x) (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(.f32 s (.f32 (.f32 s s) (+.f32 (/.f32 (.f32 s #s(literal -18 binary32)) (.f32 (.f32 x (.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32)))) s) (.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) #s(literal -1/2 binary32))) s) x) s)))

Outputs

#s(literal 1/2 binary32)

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

Calls

3 calls:

21.0ms	(neg.f32 x)
19.0ms	x
17.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
66.4%	2	`x`
66.4%	2	`(neg.f32 x)`
67.2%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes31.0ms (0.3%)

Counts

62 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)))) s)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/48 binary32))) (.f32 s (.f32 s (.f32 x #s(literal 1/4 binary32))))) (*.f32 s s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x x) (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s))))) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 x (+.f32 (.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 x x))))) s)) s)))

Outputs

#s(literal 1/2 binary32)

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

Calls

1 calls:

16.0ms

(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
66.9%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts

55 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s)))

Outputs

#s(literal 1/2 binary32)

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

Calls

1 calls:

13.0ms

(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
66.9%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes50.0ms (0.5%)

Counts

54 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (.f32 x (*.f32 x x)) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (.f32 x #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x (.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (/.f32 #s(literal 1 binary32) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (*.f32 x x)) s)) s)) s))))

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

Calls

3 calls:

18.0ms	x
15.0ms	(neg.f32 x)
14.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
64.9%	2	`x`
64.9%	2	`(neg.f32 x)`
65.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes68.0ms (0.6%)

Counts

42 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 x s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/48 binary32)) (.f32 s s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s) (.f32 s s))))

Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s)))

Calls

4 calls:

23.0ms	x
16.0ms	(neg.f32 x)
14.0ms	(/.f32 (neg.f32 x) s)
11.0ms	s

Results

Accuracy	Segments	Branch
55.4%	1	`s`
62.4%	2	`x`
62.4%	2	`(neg.f32 x)`
63.9%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes11.0ms (0.1%)

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 s s)) (*.f32 x x))
(/.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 (/.f32 s x) x) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 s (neg.f32 s)) (/.f32 x (/.f32 #s(literal -2 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 x #s(literal 2 binary32))) (.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (*.f32 (/.f32 s (/.f32 x s)) #s(literal -2 binary32)) s) x)
(/.f32 (-.f32 (/.f32 (.f32 (.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(/.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) (*.f32 x x))))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (/.f32 x s))) x) (/.f32 s x))
(/.f32 (.f32 s (.f32 (.f32 s s) #s(literal -6 binary32))) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (.f32 s (.f32 s s)) #s(literal -6 binary32)) (.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) s)) s)))

Outputs
#s(literal 1/2 binary32)
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x)

Calls

1 calls:

9.0ms

(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
63.3%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))

Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s)))

Calls

3 calls:

5.0ms	x
5.0ms	(neg.f32 x)
5.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
59.4%	2	`x`
59.4%	2	`(neg.f32 x)`
61.9%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes5.0ms (0%)

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))

Outputs
#s(literal 1/2 binary32)
(.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s))

Calls

1 calls:

4.0ms

(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
60.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)

Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))

Calls

4 calls:

7.0ms	(/.f32 (neg.f32 x) s)
4.0ms	(neg.f32 x)
4.0ms	s
4.0ms	x

Results

Accuracy	Segments	Branch
42.9%	1	`s`
49.8%	2	`x`
49.8%	2	`(neg.f32 x)`
50.4%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))

Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (/.f32 x s))

Calls

3 calls:

3.0ms	(neg.f32 x)
3.0ms	x
3.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
48.3%	2	`x`
48.3%	2	`(neg.f32 x)`
48.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))

Outputs
(/.f32 (neg.f32 s) x)
#s(literal 1/2 binary32)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
46.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary32)

Outputs
#s(literal 1/2 binary32)

Calls

2 calls:

2.0ms	x
1.0ms	s

Results

Accuracy	Segments	Branch
32.6%	1	`s`
32.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-22.775615692138672	-1.4784269332885742

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-22.775615692138672	-1.4784269332885742

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-22.775615692138672	-1.4784269332885742

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-22.775615692138672	-1.4784269332885742

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-22.775615692138672	-1.4784269332885742

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3378322.0	19819392.0

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	30.95737075805664	56.1126594543457

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3378322.0	19819392.0

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3378322.0	19819392.0

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4784269332885742	-0.4630892872810364

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.20217593014240265	2.723583459854126

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-4.4412786337488797e-7	-8.15985785607154e-8

Compiler

Compiled 16 to 12 computations (25% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative_binary32`
36×	`*-commutative_binary32`
22×	`sub-neg_binary32`
14×	`neg-sub0_binary32`
14×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	296
1	150	296
2	171	296
3	184	296
4	189	296
5	190	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) #s(literal -1 binary32))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000000 binary32)) #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/33554432 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 x #s(literal -14073749/35184372088832 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)) #s(literal -1 binary32))))))))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32)))) s)))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32)))))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s (/.f32 x s))) (+.f32 (/.f32 x s) #s(literal -2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s))))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 x (/.f32 s #s(literal -1/6 binary32))))) (/.f32 s x)) x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s))))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 (.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s))))))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (/.f32 (.f32 x x) s)) #s(literal -1/6 binary32)) (.f32 s s))))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 5000000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (/.f32 (.f32 x x) s))) (.f32 s s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 50 binary32)) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 s s) x)) x))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s))))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 5000000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 x x) (.f32 s s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000000 binary32)) #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (*.f32 s s)))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 5000000 binary32)) #s(literal 1/2 binary32) (.f32 (.f32 s s) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/33554432 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 13421773/33554432 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 x #s(literal -14073749/35184372088832 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14073749/35184372088832 binary32)) (neg.f32 (/.f32 s x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)

soundness2.4s (22.7%)

Rules

5194×	`-lowering-.f32`
5194×	`-lowering-.f64`
4788×	`-lowering-.f32`
4788×	`-lowering-.f64`
4774×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	31	22
2	110	22
3	393	22
0	1190	22
0	483	4292
1	1549	3700
2	5437	3572
0	8809	3572
0	36	179
1	173	169
2	875	165
0	8374	165
0	140	619
1	405	573
2	1414	570
3	5777	570
0	8544	570
0	728	5891
1	2452	4937
0	8976	4937
0	707	5425
1	2355	4611
0	8544	4611
0	40	223
1	159	213
2	719	197
3	6101	197
0	8296	197

Stop Event

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

Compiler

Compiled 743 to 426 computations (42.7% saved)

preprocess91.0ms (0.9%)

Compiler: Compiled 646 to 232 computations (64.1% saved)

analyze60.0ms (0.6%)

sample1.3s (12.4%)

preprocess47.0ms (0.4%)

explain91.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize41.0ms (0.4%)

series7.0ms (0.1%)

rewrite107.0ms (1%)

simplify205.0ms (1.9%)

eval14.0ms (0.1%)

prune24.0ms (0.2%)

simplify137.0ms (1.3%)

localize731.0ms (6.9%)

series132.0ms (1.3%)

rewrite264.0ms (2.5%)

simplify280.0ms (2.7%)

eval183.0ms (1.7%)

prune166.0ms (1.6%)

simplify173.0ms (1.6%)

localize296.0ms (2.8%)

series98.0ms (0.9%)

rewrite303.0ms (2.9%)

simplify365.0ms (3.5%)

eval147.0ms (1.4%)

prune198.0ms (1.9%)

simplify160.0ms (1.5%)

localize296.0ms (2.8%)

series21.0ms (0.2%)

rewrite339.0ms (3.2%)

simplify315.0ms (3%)

eval121.0ms (1.1%)

prune265.0ms (2.5%)

regimes200.0ms (1.9%)

regimes203.0ms (1.9%)

regimes158.0ms (1.5%)

regimes184.0ms (1.7%)

regimes96.0ms (0.9%)

regimes62.0ms (0.6%)

regimes31.0ms (0.3%)

regimes19.0ms (0.2%)

regimes50.0ms (0.5%)

regimes68.0ms (0.6%)

regimes11.0ms (0.1%)

regimes17.0ms (0.2%)

regimes5.0ms (0%)

regimes19.0ms (0.2%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.2%)

soundness2.4s (22.7%)

preprocess91.0ms (0.9%)

end0.0ms (0%)

Profiling