Logistic distribution

Time bar (total: 14.8s)

analyze69.0ms (0.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
...c/correct-round.rkt:119:19: 7.0ms (17.7% of total)
ival-<=: 7.0ms (17.7% of total)
ival-mult: 6.0ms (15.2% of total)
ival-div: 5.0ms (12.7% of total)
ival-fabs: 4.0ms (10.1% of total)
ival-add: 3.0ms (7.6% of total)
ival-exp: 3.0ms (7.6% of total)
ival-neg: 2.0ms (5.1% of total)
ival-and: 1.0ms (2.5% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (10%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 820.0ms
ival-div: 172.0ms (21% of total)
...c/correct-round.rkt:119:19: 131.0ms (16% of total)
ival-<=: 129.0ms (15.7% of total)
ival-mult: 127.0ms (15.5% of total)
ival-fabs: 80.0ms (9.8% of total)
ival-exp: 63.0ms (7.7% of total)
ival-add: 50.0ms (6.1% of total)
ival-neg: 41.0ms (5% of total)
const: 12.0ms (1.5% of total)
ival-and: 11.0ms (1.3% of total)
backward-pass: 4.0ms (0.5% of total)
Bogosity

preprocess217.0ms (1.5%)

Algorithm
2×egg-herbie
Rules
2410×sum4-define
2120×sum3-define
1984×*-lowering-*.f32
1984×*-lowering-*.f64
1686×fmsub-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
037166
1147108
2490106
31635106
45603106
01126
13718
211318
327818
461918
5111618
6192417
7377916
8696416
0852416
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
Outputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) s)
Call 2
Inputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s)))))
(/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s))))))
(neg (/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s))))))
(neg (/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s)))))))
(/ (exp (/ (neg (fabs s)) x)) (* (* x (+ 1 (exp (/ (neg (fabs s)) x)))) (+ 1 (exp (/ (neg (fabs s)) x)))))
Outputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(/ (/ (exp (/ (fabs x) (neg s))) s) (square (+ 1 (exp (/ (fabs x) (neg s))))))
(/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s)))))
(/ (/ (exp (/ (fabs x) (neg s))) s) (square (+ 1 (exp (/ (fabs x) (neg s))))))
(/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s))))))
(/ (/ (exp (/ (fabs x) s)) (neg s)) (square (+ 1 (exp (/ (fabs x) s)))))
(neg (/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s))))))
(/ (/ (exp (/ (fabs x) (neg s))) (neg s)) (square (+ 1 (exp (/ (fabs x) (neg s))))))
(neg (/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s)))))))
(/ (/ (exp (/ (fabs x) s)) s) (square (+ 1 (exp (/ (fabs x) s)))))
(/ (exp (/ (neg (fabs s)) x)) (* (* x (+ 1 (exp (/ (neg (fabs s)) x)))) (+ 1 (exp (/ (neg (fabs s)) x)))))
(/ (/ (recip (exp (/ (fabs s) x))) x) (square (+ 1 (recip (exp (/ (fabs s) x))))))
Symmetry

(abs x)

explain165.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
24(2.6267756858544544e-9 2.4149451535726563e-11)2(2.4154926947517197e-8 5.675205860811161e-10)(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
10-0-(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
00-0-(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
00-0-x
00-0-(fabs.f32 x)
00-0-(/.f32 (neg.f32 (fabs.f32 x)) s)
00-0-(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
00-0-(neg.f32 (fabs.f32 x))
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Results
117.0ms512×0valid
Compiler

Compiled 198 to 35 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 9.0ms (28.7% of total)
ival-mult: 8.0ms (25.6% of total)
ival-exp: 4.0ms (12.8% of total)
ival-fabs: 4.0ms (12.8% of total)
ival-add: 3.0ms (9.6% of total)
ival-neg: 2.0ms (6.4% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 20 to 13 computations (35% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) s)
▶99.3%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 48 to 24 computations (50% saved)

simplify157.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
✓cost-diff0
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
✓cost-diff0
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) s)
✓cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
✓cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓cost-diff32
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓cost-diff6592
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Rules
2268×fma-define
1998×fma-lowering-fma.f32
1998×fma-lowering-fma.f64
1956×*-lowering-*.f32
1956×*-lowering-*.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
020170
159143
2170143
3409143
4900143
51789139
63170139
75390139
08175139
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(exp (/ (neg (fabs x)) s))
(/ (neg (fabs x)) s)
(neg (fabs x))
(fabs x)
x
s
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(+ 1 (exp (/ (neg (fabs x)) s)))
1
(/ (/ 1 (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) s)
(/ 1 (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))
1
(+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))
(exp (neg (/ (fabs x) s)))
(neg (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
(+ (exp (/ (fabs x) s)) 2)
(exp (/ (fabs x) s))
2
Outputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
(exp (/ (neg (fabs x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/ (neg (fabs x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(neg (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
s
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
(*.f32 s (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) s)) (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 1 (exp (/ (neg (fabs x)) s)))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(/ (/ 1 (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
(/ 1 (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
1
#s(literal 1 binary32)
(+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
(+ (exp (/ (fabs x) s)) 2)
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
2
#s(literal 2 binary32)

localize123.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
✓accuracy99.8%
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
✓accuracy99.8%
(exp.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) s)
✓accuracy99.9%
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
✓accuracy99.8%
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓accuracy99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
82.0ms256×0valid
Compiler

Compiled 166 to 21 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 13.0ms (41.4% of total)
ival-exp: 5.0ms (15.9% of total)
ival-add: 4.0ms (12.7% of total)
ival-mult: 4.0ms (12.7% of total)
ival-fabs: 2.0ms (6.4% of total)
ival-neg: 2.0ms (6.4% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.3%)

Counts
10 → 240
Calls
Call 1
Inputs
#<alt (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))>
#<alt (* s (+ 1 (exp (/ (neg (fabs x)) s))))>
#<alt (exp (/ (neg (fabs x)) s))>
#<alt (/ (neg (fabs x)) s)>
#<alt (/ (/ 1 (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) s)>
#<alt (/ 1 (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))>
#<alt (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (+ 1 (exp (/ (neg (fabs x)) s)))>
#<alt (exp (/ (fabs x) s))>
Outputs
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* 2 s)>
#<alt (* s (+ 2 (* -1 (/ (fabs x) s))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))>
#<alt (* 2 s)>
#<alt (* -1 (* s (- (/ (fabs x) s) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) (pow s 2)))) (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) s)) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)))>
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) (pow s 2)))) (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)))>
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)))>
#<alt (+ 1/4 (* -1 (/ (- (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) s)) (* 1/16 (/ (pow (fabs x) 2) s))) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)))>
#<alt (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (+ (* -1/64 (/ (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x)))) s)) (* 1/16 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt 4>
#<alt (+ 4 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)))>
#<alt (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))))>
#<alt 4>
#<alt (+ 4 (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)))>
#<alt (+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) s)))) s)))>
#<alt (+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)) (pow (fabs x) 2)) s)))) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt 1>
#<alt (+ 1 (/ (fabs x) s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))>
#<alt 1>
#<alt (+ 1 (/ (fabs x) s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
Calls

60 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
4.0ms
s
@inf
(exp (/ (fabs x) s))
3.0ms
s
@-inf
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
3.0ms
x
@-inf
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms
x
@0
(/ (/ 1 (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) s)

rewrite312.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
3694×/-lowering-/.f32
3694×/-lowering-/.f64
3396×*-lowering-*.f32
3396×*-lowering-*.f64
2068×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020112
1134100
2103188
0865488
Stop Event
1×iter limit
1×node limit
Counts
10 → 411
Calls
Call 1
Inputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(exp (/ (neg (fabs x)) s))
(/ (neg (fabs x)) s)
(/ (/ 1 (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) s)
(/ 1 (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))
(+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))
(exp (neg (/ (fabs x) s)))
(+ 1 (exp (/ (neg (fabs x)) s)))
(exp (/ (fabs x) s))
Outputs
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(neg.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))))
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(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (/.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) (/.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))))
(*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))
(*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))
(*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp.f32 (*.f32 (log.f32 (exp.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) (neg.f32 s)))
(pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (fabs.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(*.f32 (pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))

simplify249.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
2772×*-lowering-*.f32
2772×*-lowering-*.f64
2212×+-lowering-+.f64
2212×+-lowering-+.f32
1702×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03243055
110612681
242952473
090752473
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(* 2 s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) (pow s 2)))) (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))) s)
(/ 1/4 s)
(* -1 (/ (- (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) s)) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))
1/4
(+ 1/4 (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)))
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) (pow s 2)))) (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)))
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))))
1/4
(+ 1/4 (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)))
(+ 1/4 (* -1 (/ (- (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) s)) (* 1/16 (/ (pow (fabs x) 2) s))) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)))
(+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (+ (* -1/64 (/ (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x)))) s)) (* 1/16 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
4
(+ 4 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)))
(+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))
(+ 4 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))))
4
(+ 4 (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) s)))) s)))
(+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)) (pow (fabs x) 2)) s)))) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
1
(+ 1 (/ (fabs x) s))
(+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))
(+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))
1
(+ 1 (/ (fabs x) s))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) #s(literal -1/24 binary32))) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) #s(literal -1/24 binary32))) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/96 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (pow.f32 s #s(literal 4 binary32))))) (-.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 s (*.f32 s s))) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32))) (pow.f32 s #s(literal 4 binary32))) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal 4 binary32))))) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s))))) (*.f32 (fabs.f32 x) (/.f32 (-.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -5/48 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -5/48 binary32))) (pow.f32 s #s(literal 4 binary32)))))))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(neg.f32 (/.f32 (+.f32 (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)) (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal 1/24 binary32) (*.f32 s (*.f32 s s)))) #s(literal -1/4 binary32))) (*.f32 (/.f32 #s(literal 5/48 binary32) (*.f32 s s)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s))) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 s (*.f32 s s)))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/.f32 (+.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)) (/.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/96 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) s) (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))) (+.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)) (*.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) #s(literal 1/4 binary32))) (*.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) s)))) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) s))) (*.f32 s (*.f32 s s)))) #s(literal -1/4 binary32)) (neg.f32 s))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 2 s)
(*.f32 s #s(literal 2 binary32))
(* s (+ 2 (* -1 (/ (fabs x) s))))
(*.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 s (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s)))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(*.f32 s (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s) (/.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))))
(* 2 s)
(*.f32 s #s(literal 2 binary32))
(* -1 (* s (- (/ (fabs x) s) 2)))
(*.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
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(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)))
#s(literal 1/4 binary32)
(+ 1/4 (* -1 (/ (- (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) s)) (* 1/16 (/ (pow (fabs x) 2) s))) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)))
(+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s))
(+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (+ (* -1/64 (/ (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x)))) s)) (* 1/16 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)))
(+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
4
#s(literal 4 binary32)
(+ 4 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)))
#s(literal 4 binary32)
(+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
(+ 4 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))))
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
4
#s(literal 4 binary32)
(+ 4 (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)))
#s(literal 4 binary32)
(+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) s)))) s)))
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
(+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)) (pow (fabs x) 2)) s)))) s)))
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s) (/.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s) (/.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
1
#s(literal 1 binary32)
(+ 1 (/ (fabs x) s))
(+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))
(+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32)))
(+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (+.f32 (/.f32 (fabs.f32 x) s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/6 binary32)) s)))))
1
#s(literal 1 binary32)
(+ 1 (/ (fabs x) s))
(+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) (fabs.f32 x)) s))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))

eval97.0ms (0.7%)

Compiler

Compiled 28877 to 2354 computations (91.8% saved)

prune103.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New93012942
Fresh000
Picked202
Done000
Total93212944
Accuracy
99.6%
Counts
944 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
26.0%
(/.f32 (/.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) s)
99.3%
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
7.3%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) s)
▶79.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
▶99.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
14.3%
(/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) #s(literal -1/24 binary32))) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s)))))) s)
25.8%
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
▶99.4%
(/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s)
99.4%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
▶26.4%
(/.f32 #s(literal 1/4 binary32) s)
▶97.5%
(exp.f32 (*.f32 (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32)))
Compiler

Compiled 570 to 334 computations (41.4% saved)

simplify225.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
✓cost-diff0
(log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
✓cost-diff32
(*.f32 (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))
✓cost-diff6464
(exp.f32 (*.f32 (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32)))
✓cost-diff0
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
✓cost-diff0
(+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))
✓cost-diff64
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
✓cost-diff0
(/.f32 (*.f32 x x) (*.f32 s s))
✓cost-diff0
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
✓cost-diff64
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
✓cost-diff0
(/.f32 #s(literal 1/4 binary32) s)
✓cost-diff0
(log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
✓cost-diff32
(*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))
✓cost-diff6464
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)))
✓cost-diff6464
(/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s)
Rules
4460×*-lowering-*.f32
4460×*-lowering-*.f64
2638×+-lowering-+.f64
2638×+-lowering-+.f32
2078×/-lowering-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
030243
172232
2129232
3221229
4364229
5606228
61428228
74286228
87617228
08380228
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) s)
(exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1))
(* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)
(log (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(+ 2 (* 2 (cosh (/ (fabs x) s))))
2
(* 2 (cosh (/ (fabs x) s)))
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
-1
(/ 1/4 s)
1/4
s
(/ (/ 1 (+ (/ (* x x) (* s s)) 4)) s)
(/ 1 (+ (/ (* x x) (* s s)) 4))
1
(+ (/ (* x x) (* s s)) 4)
(/ (* x x) (* s s))
(* x x)
x
(* s s)
s
4
(/ (/ 1 (+ (* 2 (cosh (/ (fabs x) s))) 2)) s)
(/ 1 (+ (* 2 (cosh (/ (fabs x) s))) 2))
1
(+ (* 2 (cosh (/ (fabs x) s))) 2)
(* 2 (cosh (/ (fabs x) s)))
2
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
(exp (* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1))
(* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1)
(log (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))))
(* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))
s
(+ 2 (* 2 (cosh (/ (fabs x) s))))
2
(* 2 (cosh (/ (fabs x) s)))
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
-1
Outputs
(/ (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) s)
(/.f32 #s(literal 1/2 binary32) (*.f32 s (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1))
(/.f32 #s(literal 1/2 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)
(neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(log (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
2
#s(literal 2 binary32)
(* 2 (cosh (/ (fabs x) s)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
-1
#s(literal -1 binary32)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
(/ (/ 1 (+ (/ (* x x) (* s s)) 4)) s)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/ 1 (+ (/ (* x x) (* s s)) 4))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
1
#s(literal 1 binary32)
(+ (/ (* x x) (* s s)) 4)
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
(/ (* x x) (* s s))
(/.f32 (*.f32 x x) (*.f32 s s))
(* x x)
(*.f32 x x)
x
(* s s)
(*.f32 s s)
s
4
#s(literal 4 binary32)
(/ (/ 1 (+ (* 2 (cosh (/ (fabs x) s))) 2)) s)
(/.f32 #s(literal 1/2 binary32) (*.f32 s (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(/ 1 (+ (* 2 (cosh (/ (fabs x) s))) 2))
(/.f32 #s(literal 1/2 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ (* 2 (cosh (/ (fabs x) s))) 2)
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(* 2 (cosh (/ (fabs x) s)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
2
#s(literal 2 binary32)
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
(exp (* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1))
(/.f32 #s(literal 1/2 binary32) (*.f32 s (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1)
(neg.f32 (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(log (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))))
(log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
s
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
2
#s(literal 2 binary32)
(* 2 (cosh (/ (fabs x) s)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
-1
#s(literal -1 binary32)

localize913.0ms (6.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
✓accuracy97.8%
(exp.f32 (*.f32 (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32)))
✓accuracy92.0%
(log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
✓accuracy100.0%
(fabs.f32 x)
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
✓accuracy100.0%
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
✓accuracy99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
✓accuracy83.5%
(/.f32 (*.f32 x x) (*.f32 s s))
✓accuracy100.0%
(/.f32 #s(literal 1/4 binary32) s)
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.7%
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)))
✓accuracy99.6%
(/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s)
✓accuracy91.6%
(log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
Results
782.0ms161×5exit
51.0ms95×0valid
Compiler

Compiled 277 to 31 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 450.0ms
ival-log: 135.0ms (30% of total)
backward-pass: 84.0ms (18.7% of total)
ival-div: 59.0ms (13.1% of total)
ival-exp: 55.0ms (12.2% of total)
ival-cosh: 50.0ms (11.1% of total)
ival-mult: 41.0ms (9.1% of total)
ival-add: 16.0ms (3.6% of total)
ival-fabs: 8.0ms (1.8% of total)
const: 3.0ms (0.7% of total)

series246.0ms (1.7%)

Counts
19 → 432
Calls
Call 1
Inputs
#<alt (/ (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) s)>
#<alt (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1))>
#<alt (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)>
#<alt (log (+ 2 (* 2 (cosh (/ (fabs x) s)))))>
#<alt (/ 1/4 s)>
#<alt (/ (/ 1 (+ (/ (* x x) (* s s)) 4)) s)>
#<alt (/ 1 (+ (/ (* x x) (* s s)) 4))>
#<alt (+ (/ (* x x) (* s s)) 4)>
#<alt (/ (* x x) (* s s))>
#<alt (/ (/ 1 (+ (* 2 (cosh (/ (fabs x) s))) 2)) s)>
#<alt (/ 1 (+ (* 2 (cosh (/ (fabs x) s))) 2))>
#<alt (+ (* 2 (cosh (/ (fabs x) s))) 2)>
#<alt (* 2 (cosh (/ (fabs x) s)))>
#<alt (exp (* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1))>
#<alt (* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1)>
#<alt (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))))>
#<alt (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))>
#<alt (cosh (/ (fabs x) s))>
#<alt (fabs x)>
Outputs
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
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#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
Calls

108 calls:

TimeVariablePointExpression
51.0ms
x
@0
(* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)
25.0ms
x
@-inf
(* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1)
25.0ms
s
@0
(/ (/ 1 (+ (/ (* x x) (* s s)) 4)) s)
23.0ms
x
@inf
(* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1)
22.0ms
x
@inf
(* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)

rewrite648.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
4920×*-lowering-*.f32
4920×*-lowering-*.f64
2958×/-lowering-/.f32
2958×/-lowering-/.f64
1558×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030160
1161154
21051154
08556154
Stop Event
1×iter limit
1×node limit
Counts
19 → 721
Calls
Call 1
Inputs
(/ (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) s)
(exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1))
(* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)
(log (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(/ 1/4 s)
(/ (/ 1 (+ (/ (* x x) (* s s)) 4)) s)
(/ 1 (+ (/ (* x x) (* s s)) 4))
(+ (/ (* x x) (* s s)) 4)
(/ (* x x) (* s s))
(/ (/ 1 (+ (* 2 (cosh (/ (fabs x) s))) 2)) s)
(/ 1 (+ (* 2 (cosh (/ (fabs x) s))) 2))
(+ (* 2 (cosh (/ (fabs x) s))) 2)
(* 2 (cosh (/ (fabs x) s)))
(exp (* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1))
(* (log (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))) -1)
(log (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))))
(* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(cosh (/ (fabs x) s))
(fabs x)
Outputs
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))))
(pow.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (pow.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))) #s(literal -1/2 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))))
(/.f32 #s(literal -1 binary32) (*.f32 s (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)))
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))) s)
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (/.f32 #s(literal -1 binary32) s) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 s)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
(*.f32 (pow.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) (*.f32 (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 4 binary32))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 s)) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
(*.f32 (pow.f32 (/.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (exp.f32 (neg.f32 (log.f32 s))) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)) #s(literal -1/2 binary32))) (pow.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32)))) (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32)))))
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(*.f32 #s(literal 2 binary32) (+.f32 s (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 #s(literal -1 binary32) (*.f32 s (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
(*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)) #s(literal 1 binary32))
(*.f32 (neg.f32 s) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))
(*.f32 (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32))))) s))
(*.f32 (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))) s))
(*.f32 (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) s))
(*.f32 (+.f32 (*.f32 #s(literal 8 binary32) (*.f32 s (*.f32 s s))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 s s) #s(literal 4 binary32)) (*.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) (*.f32 #s(literal 2 binary32) s))))))
(*.f32 (-.f32 (*.f32 (*.f32 s s) #s(literal 4 binary32)) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))))
(*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))
(*.f32 (*.f32 s (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32))))))
(*.f32 (*.f32 s (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))))
(*.f32 (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))
(*.f32 (*.f32 (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32))))))
(*.f32 (*.f32 (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))))
(*.f32 (*.f32 (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))
(*.f32 (/.f32 s #s(literal -1 binary32)) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))
(*.f32 (*.f32 s (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))
(*.f32 (*.f32 (/.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(neg.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(cosh.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(pow.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))
(/.f32 (neg.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)))
(*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -1/2 binary32))
(neg.f32 (neg.f32 (fabs.f32 x)))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(-.f32 #s(literal 0 binary32) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x)))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))

simplify324.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
3090×*-lowering-*.f32
3090×*-lowering-*.f64
2622×+-lowering-+.f64
2622×+-lowering-+.f32
1666×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04218275
114047058
254286734
081056734
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)
(/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
1/4
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))
1/4
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (log 4))
(+ (* -1 (log 4)) (* -1/4 (/ (pow (fabs x) 2) (pow s 2))))
(+ (* -1 (log 4)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))
(+ (* -1 (log 4)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))))
(* -1 (log 4))
(+ (* -1 (log 4)) (* -1/4 (/ (pow (fabs x) 2) (pow s 2))))
(+ (* -1 (log 4)) (+ (* -1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1/4 (/ (pow (fabs x) 2) (pow s 2)))))
(+ (* -1 (log 4)) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s)) (* 1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* -1/4 (/ (pow (fabs x) 2) (pow s 2)))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(log 4)
(+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))
(+ (log 4) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))
(+ (log 4) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))
(log 4)
(+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))
(+ (log 4) (+ (* 1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))
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(/ 1/4 s)
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(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* -1 (+ (log s) (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (+ (log s) (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (+ (log s) (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (+ (log s) (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (+ (log 4) (* -1 (log (/ 1 s)))))
(+ (* -1 (+ (log 4) (* -1 (log (/ 1 s))))) (* -1/4 (/ (pow (fabs x) 2) (pow s 2))))
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(+ (* -1 (+ (log -4) (* -1 (log (/ -1 s))))) (* -1/4 (/ (pow (fabs x) 2) (pow s 2))))
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(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
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(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
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(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
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(+ (log s) (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
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(+ (log -4) (* -1 (log (/ -1 s))))
(+ (log -4) (+ (* -1 (log (/ -1 s))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))
(+ (log -4) (+ (* -1 (log (/ -1 s))) (+ (* 1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))
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(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* 4 s)
(* s (+ 4 (/ (pow (fabs x) 2) (pow s 2))))
(* s (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
(* s (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))))
(* 4 s)
(* -1 (* s (- (* -1 (/ (pow (fabs x) 2) (pow s 2))) 4)))
(* -1 (* s (- (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))
(* -1 (* s (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
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(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
1
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
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(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* s (+ 4 (/ (pow (fabs x) 2) (pow s 2))))
(*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
(* s (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
(*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))))
(* s (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 s (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (-.f32 (*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))))))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* -1 (* s (- (* -1 (/ (pow (fabs x) 2) (pow s 2))) 4)))
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (neg.f32 s))
(* -1 (* s (- (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))
(*.f32 (+.f32 (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))) (-.f32 #s(literal -4 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (neg.f32 s))
(* -1 (* s (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))
(*.f32 (-.f32 #s(literal -4 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))) s))) (*.f32 s (*.f32 s s))))) (neg.f32 s))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))) (*.f32 (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) s)))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (-.f32 (*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (+.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/4 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)))))) s)) (*.f32 s (*.f32 s s))))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)

eval119.0ms (0.8%)

Compiler

Compiled 34031 to 3184 computations (90.6% saved)

prune179.0ms (1.2%)

Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1332291361
Fresh347
Picked235
Done000
Total1337361373
Accuracy
99.6%
Counts
1373 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
63.2%
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
26.0%
(/.f32 (/.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) s)
26.4%
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
7.3%
(/.f32 (/.f32 (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 4 binary32))) s)
57.9%
(/.f32 (/.f32 (+.f32 (*.f32 s s) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) s)
99.3%
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
▶22.0%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
61.4%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
77.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) (/.f32 s x)) #s(literal 4 binary32))) s)
77.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (*.f32 x x))) (neg.f32 s)) #s(literal 4 binary32))) s)
77.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
✓79.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
79.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 2 binary32))) s)
78.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))) s)
▶77.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
✓99.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
65.3%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) s)
83.4%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
14.3%
(/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) #s(literal -1/24 binary32))) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s)))))) s)
40.1%
(/.f32 (+.f32 s (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) x))) (*.f32 x x))
26.3%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) #s(literal -1 binary32))) s)
26.4%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
22.0%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s))))) s)
▶99.4%
(/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
▶41.2%
(/.f32 s (*.f32 x x))
99.4%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
83.3%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
✓26.4%
(/.f32 #s(literal 1/4 binary32) s)
97.0%
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 s)) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
83.4%
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))))
22.0%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s)))))
97.2%
(*.f32 (exp.f32 (neg.f32 (log.f32 s))) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
38.0%
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
14.7%
(exp.f32 (*.f32 (-.f32 (log.f32 (+.f32 (*.f32 #s(literal 8 binary32) (*.f32 s (*.f32 s s))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 3 binary32)))) (log.f32 (+.f32 (*.f32 (*.f32 s s) #s(literal 4 binary32)) (*.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) (*.f32 #s(literal 2 binary32) s)))))) #s(literal -1 binary32)))
▶97.5%
(exp.f32 (neg.f32 (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))))
Compiler

Compiled 1741 to 979 computations (43.8% saved)

simplify259.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))
✓cost-diff0
(log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
✓cost-diff0
(neg.f32 (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))))
✓cost-diff6432
(exp.f32 (neg.f32 (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))))
✓cost-diff0
(+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32))
✓cost-diff0
(/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x))))))
✓cost-diff128
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
✓cost-diff64
(*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s))
✓cost-diff64
(+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)))
✓cost-diff128
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(/.f32 s (*.f32 x x))
✓cost-diff0
(log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
✓cost-diff0
(neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
✓cost-diff6432
(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
✓cost-diff6432
(/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
Rules
5708×*-lowering-*.f32
5708×*-lowering-*.f64
1530×/-lowering-/.f32
1530×/-lowering-/.f64
1414×sum3-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
047458
1115404
2315373
3998340
43199330
53762325
64451325
75102325
86077325
08848325
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (exp (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s))))))) s)
(exp (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s)))))))
(neg (log (+ 2 (* 2 (cosh (/ (fabs x) s))))))
(log (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(+ 2 (* 2 (cosh (/ (fabs x) s))))
2
(* 2 (cosh (/ (fabs x) s)))
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
(/ s (* x x))
s
(* x x)
x
(/ (/ 1 (+ (* (* (/ x s) x) (/ 1 s)) 4)) s)
(/ 1 (+ (* (* (/ x s) x) (/ 1 s)) 4))
1
(+ (* (* (/ x s) x) (/ 1 s)) 4)
(* (* (/ x s) x) (/ 1 s))
(* (/ x s) x)
(/ x s)
x
s
(/ 1 s)
4
(/ (/ 1 (/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))))) s)
(/ 1 (/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x))))))
1
(/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))))
(+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64)
(/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x))))
(/ x (/ (* s s) x))
x
(/ (* s s) x)
(* s s)
s
(* (* s (* (/ s (* x x)) s)) (/ s (* x x)))
(* s (* (/ s (* x x)) s))
(* (/ s (* x x)) s)
(/ s (* x x))
(* x x)
64
(+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x))))
16
(/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))
(+ (/ x (/ (* s s) x)) -4)
-4
(/ (* s s) (* x x))
(exp (neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))))
(neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s))))
(log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))
(* (+ (cosh (/ (fabs x) s)) 1) (* 2 s))
(+ (cosh (/ (fabs x) s)) 1)
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
1
(* 2 s)
2
Outputs
(/ (exp (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s))))))) s)
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) s)
(exp (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s)))))))
(/.f32 #s(literal 1/2 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(neg (log (+ 2 (* 2 (cosh (/ (fabs x) s))))))
(neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(log (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
2
#s(literal 2 binary32)
(* 2 (cosh (/ (fabs x) s)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
(/ s (* x x))
(/.f32 s (*.f32 x x))
s
(* x x)
(*.f32 x x)
x
(/ (/ 1 (+ (* (* (/ x s) x) (/ 1 s)) 4)) s)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/ 1 (+ (* (* (/ x s) x) (/ 1 s)) 4))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))
1
#s(literal 1 binary32)
(+ (* (* (/ x s) x) (/ 1 s)) 4)
(+.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))
(* (* (/ x s) x) (/ 1 s))
(/.f32 (/.f32 (*.f32 x x) s) s)
(* (/ x s) x)
(/.f32 (*.f32 x x) s)
(/ x s)
(/.f32 x s)
x
s
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
4
#s(literal 4 binary32)
(/ (/ 1 (/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))))) s)
(/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (*.f32 s (/.f32 s (*.f32 x x))))) (+.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s (*.f32 s (/.f32 s (*.f32 x x))))) x)) x) x)) (*.f32 s #s(literal 64 binary32))))
(/ 1 (/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x))))))
(/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (*.f32 s (/.f32 s (*.f32 x x))))) (+.f32 (/.f32 x (*.f32 s (/.f32 (/.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s (*.f32 s (/.f32 s (*.f32 x x))))) x)) x) x))) #s(literal 64 binary32)))
1
#s(literal 1 binary32)
(/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))))
(/.f32 (+.f32 (/.f32 x (*.f32 s (/.f32 (/.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s (*.f32 s (/.f32 s (*.f32 x x))))) x)) x) x))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (*.f32 s (/.f32 s (*.f32 x x))))))
(+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64)
(+.f32 (/.f32 x (*.f32 s (/.f32 (/.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s (*.f32 s (/.f32 s (*.f32 x x))))) x)) x) x))) #s(literal 64 binary32))
(/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x))))
(/.f32 x (*.f32 s (/.f32 (/.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s (*.f32 s (/.f32 s (*.f32 x x))))) x)) x) x)))
(/ x (/ (* s s) x))
(/.f32 (/.f32 (*.f32 x x) s) s)
x
(/ (* s s) x)
(/.f32 (*.f32 s s) x)
(* s s)
(*.f32 s s)
s
(* (* s (* (/ s (* x x)) s)) (/ s (* x x)))
(/.f32 (*.f32 s (*.f32 s (*.f32 s (/.f32 s (*.f32 x x))))) (*.f32 x x))
(* s (* (/ s (* x x)) s))
(*.f32 s (*.f32 s (/.f32 s (*.f32 x x))))
(* (/ s (* x x)) s)
(*.f32 s (/.f32 s (*.f32 x x)))
(/ s (* x x))
(/.f32 s (*.f32 x x))
(* x x)
(*.f32 x x)
64
#s(literal 64 binary32)
(+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x))))
(+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (*.f32 s (/.f32 s (*.f32 x x)))))
16
#s(literal 16 binary32)
(/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))
(/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (*.f32 s (/.f32 s (*.f32 x x))))
(+ (/ x (/ (* s s) x)) -4)
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32))
-4
#s(literal -4 binary32)
(/ (* s s) (* x x))
(*.f32 s (/.f32 s (*.f32 x x)))
(exp (neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) s)
(neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s))))
(neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) (*.f32 s (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))))
(log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))
(log.f32 (*.f32 #s(literal 2 binary32) (*.f32 s (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))))
(* (+ (cosh (/ (fabs x) s)) 1) (* 2 s))
(*.f32 #s(literal 2 binary32) (*.f32 s (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(+ (cosh (/ (fabs x) s)) 1)
(+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
1
#s(literal 1 binary32)
(* 2 s)
(*.f32 #s(literal 2 binary32) s)
2
#s(literal 2 binary32)

localize1.4s (9.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))
✓accuracy97.8%
(exp.f32 (neg.f32 (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))))
✓accuracy92.0%
(log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
✓accuracy95.5%
(*.f32 (/.f32 s (*.f32 x x)) s)
✓accuracy91.6%
(/.f32 (*.f32 s s) x)
✓accuracy90.8%
(/.f32 s (*.f32 x x))
✓accuracy84.5%
(/.f32 (*.f32 s s) (*.f32 x x))
✓accuracy99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
✓accuracy99.8%
(*.f32 (/.f32 x s) x)
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)))
✓accuracy95.2%
(*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s))
✓accuracy100.0%
(*.f32 x x)
✓accuracy90.8%
(/.f32 s (*.f32 x x))
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.7%
(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
✓accuracy99.6%
(/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
✓accuracy91.6%
(log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
Results
1.2s161×5exit
94.0ms95×0valid
Compiler

Compiled 529 to 48 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 572.0ms
ival-log: 134.0ms (23.4% of total)
backward-pass: 105.0ms (18.4% of total)
ival-div: 78.0ms (13.6% of total)
ival-mult: 63.0ms (11% of total)
ival-fabs: 54.0ms (9.4% of total)
ival-exp: 52.0ms (9.1% of total)
ival-cosh: 48.0ms (8.4% of total)
ival-add: 23.0ms (4% of total)
ival-neg: 13.0ms (2.3% of total)
const: 3.0ms (0.5% of total)

series251.0ms (1.7%)

Counts
23 → 540
Calls
Call 1
Inputs
#<alt (/ (exp (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s))))))) s)>
#<alt (exp (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s)))))))>
#<alt (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s))))))>
#<alt (log (+ 2 (* 2 (cosh (/ (fabs x) s)))))>
#<alt (/ s (* x x))>
#<alt (* x x)>
#<alt (/ (/ 1 (+ (* (* (/ x s) x) (/ 1 s)) 4)) s)>
#<alt (/ 1 (+ (* (* (/ x s) x) (/ 1 s)) 4))>
#<alt (+ (* (* (/ x s) x) (/ 1 s)) 4)>
#<alt (* (* (/ x s) x) (/ 1 s))>
#<alt (/ (/ 1 (/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))))) s)>
#<alt (/ 1 (/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x))))))>
#<alt (/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))))>
#<alt (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64)>
#<alt (exp (neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))))>
#<alt (neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s))))>
#<alt (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))>
#<alt (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s))>
#<alt (cosh (/ (fabs x) s))>
#<alt (* (/ x s) x)>
#<alt (/ (* s s) (* x x))>
#<alt (/ (* s s) x)>
#<alt (* (/ s (* x x)) s)>
Outputs
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)>
#<alt (/ (exp (neg (log 4))) s)>
#<alt (/ (+ (exp (neg (log 4))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2)))) s)>
#<alt (/ (+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))))) s)>
#<alt (/ (+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (+ (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))) (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) (pow s 4))))) s)>
#<alt (/ (exp (neg (log 4))) s)>
#<alt (* -1 (/ (+ (* -1 (exp (neg (log 4)))) (* 1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2)))) s))>
#<alt (* -1 (/ (+ (* -1 (exp (neg (log 4)))) (+ (* 1/4 (/ (* (exp (neg (log 4))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* 1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))) s))>
#<alt (* -1 (/ (+ (* -1 (exp (neg (log 4)))) (+ (* -1 (/ (+ (* -1/4 (* (exp (neg (log 4))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) s)) (pow s 3))) (* 1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))) s))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (exp (neg (log 4)))>
#<alt (+ (exp (neg (log 4))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))>
#<alt (+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3)))))>
#<alt (+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (+ (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))) (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) (pow s 4)))))>
#<alt (exp (neg (log 4)))>
#<alt (+ (exp (neg (log 4))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))>
#<alt (+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2)))))>
#<alt (+ (exp (neg (log 4))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) s)) (* 1/4 (* (exp (neg (log 4))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2)))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (* -1 (log 4))>
#<alt (- (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (log 4))>
#<alt (- (* 1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (- (* -1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (+ (log 4) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* -1 (log 4))>
#<alt (- (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (log 4))>
#<alt (- (* -1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (- (* -1 (/ (- (* 1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s)) (* -1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (log 4)>
#<alt (+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ (log 4) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ (log 4) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (log 4)>
#<alt (+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ (log 4) (+ (* 1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ (log 4) (+ (* -1 (/ (+ (* -1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* -1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1/4 s)>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (/ s (pow x 2))>
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* s (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (* s (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/256 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 6))) (* 1/64 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))>
#<alt (/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))>
#<alt (/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))>
#<alt 4>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))>
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))>
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))>
#<alt 4>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt 4>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ 1/4 s)>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (/ s (pow x 2))>
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (+ s (+ (* -4 (/ (pow s 3) (pow x 2))) (* 16 (/ (pow s 5) (pow x 4))))) (pow x 2))>
#<alt (/ (+ s (+ (* -64 (/ (pow s 7) (pow x 6))) (+ (* -4 (/ (pow s 3) (pow x 2))) (* 16 (/ (pow s 5) (pow x 4)))))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (+ s (+ (* -4 (/ (pow s 3) (pow x 2))) (* 16 (/ (pow s 5) (pow x 4))))) (pow x 2))>
#<alt (/ (+ s (+ (* -64 (/ (pow s 7) (pow x 6))) (+ (* -4 (/ (pow s 3) (pow x 2))) (* 16 (/ (pow s 5) (pow x 4)))))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* s (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (* s (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)>
#<alt (/ (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 1/64 (/ (pow x 4) (pow s 4))))) s)>
#<alt (/ (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (+ (* -1/256 (/ (pow x 6) (pow s 6))) (* 1/64 (/ (pow x 4) (pow s 4)))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/256 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 6))) (* 1/64 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -64 (/ (pow s 8) (pow x 6))) (+ (* -4 (/ (pow s 4) (pow x 2))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -64 (/ (pow s 8) (pow x 6))) (+ (* -4 (/ (pow s 4) (pow x 2))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 1/64 (/ (pow x 4) (pow s 4)))))>
#<alt (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (+ (* -1/256 (/ (pow x 6) (pow s 6))) (* 1/64 (/ (pow x 4) (pow s 4))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 1/64 (/ (pow x 4) (pow s 4)))))>
#<alt (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (+ (* -1/256 (/ (pow x 6) (pow s 6))) (* 1/64 (/ (pow x 4) (pow s 4))))))>
#<alt 4>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -16 (pow s 2)) (* 16 (pow s 2))) (pow x 4))) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (+ (* -4 (/ (* (pow s 2) (+ (* -16 (pow s 2)) (* 16 (pow s 2)))) (pow x 6))) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) (+ (* -16 (/ (pow s 2) (pow x 4))) (* 16 (/ (pow s 2) (pow x 4))))))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -16 (pow s 2)) (* 16 (pow s 2))) (pow x 4))) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (+ (* -4 (/ (* (pow s 2) (+ (* -16 (pow s 2)) (* 16 (pow s 2)))) (pow x 6))) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) (+ (* -16 (/ (pow s 2) (pow x 4))) (* 16 (/ (pow s 2) (pow x 4))))))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))>
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))>
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))>
#<alt 4>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (- (+ 4 (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)))) (* -1 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 4 (* -1/4 (/ (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 6)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* -1/4 (/ (pow x 4) (pow s 4))) (* 1/4 (/ (pow x 4) (pow s 4))))))>
#<alt 4>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (- (+ 4 (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)))) (* -1 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 4 (* -1/4 (/ (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 6)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* -1/4 (/ (pow x 4) (pow s 4))) (* 1/4 (/ (pow x 4) (pow s 4))))))>
#<alt 64>
#<alt (+ 64 (/ (pow x 6) (pow s 6)))>
#<alt (+ 64 (/ (pow x 6) (pow s 6)))>
#<alt (+ 64 (/ (pow x 6) (pow s 6)))>
#<alt (/ (pow x 6) (pow s 6))>
#<alt (* (pow x 6) (+ (/ 1 (pow s 6)) (* 64 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ (/ 1 (pow s 6)) (* 64 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ (/ 1 (pow s 6)) (* 64 (/ 1 (pow x 6)))))>
#<alt (/ (pow x 6) (pow s 6))>
#<alt (* (pow x 6) (+ (/ 1 (pow s 6)) (* 64 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ (/ 1 (pow s 6)) (* 64 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ (/ 1 (pow s 6)) (* 64 (/ 1 (pow x 6)))))>
#<alt (/ (pow x 6) (pow s 6))>
#<alt (/ (+ (* 64 (pow s 6)) (pow x 6)) (pow s 6))>
#<alt (/ (+ (* 64 (pow s 6)) (pow x 6)) (pow s 6))>
#<alt (/ (+ (* 64 (pow s 6)) (pow x 6)) (pow s 6))>
#<alt 64>
#<alt (+ 64 (/ (pow x 6) (pow s 6)))>
#<alt (+ 64 (/ (pow x 6) (pow s 6)))>
#<alt (+ 64 (/ (pow x 6) (pow s 6)))>
#<alt 64>
#<alt (+ 64 (/ (pow x 6) (pow s 6)))>
#<alt (+ 64 (/ (pow x 6) (pow s 6)))>
#<alt (+ 64 (/ (pow x 6) (pow s 6)))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))))>
#<alt (exp (neg (+ (log 4) (* -1 (log (/ 1 s))))))>
#<alt (+ (exp (neg (+ (log 4) (* -1 (log (/ 1 s)))))) (* -1/4 (/ (* (exp (neg (+ (log 4) (* -1 (log (/ 1 s)))))) (pow (fabs x) 2)) (pow s 2))))>
#<alt (+ (exp (neg (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1/4 (/ (* (exp (neg (+ (log 4) (* -1 (log (/ 1 s)))))) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (exp (neg (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3)))))>
#<alt (+ (exp (neg (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1/4 (/ (* (exp (neg (+ (log 4) (* -1 (log (/ 1 s)))))) (pow (fabs x) 2)) (pow s 2))) (+ (* 1/4 (/ (* (exp (neg (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))) (/ (* (exp (neg (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1/24 (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) (pow s 4)))))>
#<alt (exp (neg (+ (log -4) (* -1 (log (/ -1 s))))))>
#<alt (+ (exp (neg (+ (log -4) (* -1 (log (/ -1 s)))))) (* -1/4 (/ (* (exp (neg (+ (log -4) (* -1 (log (/ -1 s)))))) (pow (fabs x) 2)) (pow s 2))))>
#<alt (+ (exp (neg (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/4 (/ (* (exp (neg (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* -1/4 (/ (* (exp (neg (+ (log -4) (* -1 (log (/ -1 s)))))) (pow (fabs x) 2)) (pow s 2)))))>
#<alt (+ (exp (neg (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/24 (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) s)) (* 1/4 (* (exp (neg (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/4 (/ (* (exp (neg (+ (log -4) (* -1 (log (/ -1 s)))))) (pow (fabs x) 2)) (pow s 2)))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))))>
#<alt (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))>
#<alt (- (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (log 4) (* -1 (log (/ 1 s)))))>
#<alt (- (* 1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (+ (log 4) (+ (* -1 (log (/ 1 s))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (- (* -1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (+ (log 4) (+ (* -1 (log (/ 1 s))) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))))>
#<alt (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))>
#<alt (- (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (log -4) (* -1 (log (/ -1 s)))))>
#<alt (- (* -1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (+ (log -4) (+ (* -1 (log (/ -1 s))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (- (* -1 (/ (- (* 1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s)) (* -1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (+ (log -4) (+ (* -1 (log (/ -1 s))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (log (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (+ (log s) (log (* 2 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))))>
#<alt (+ (log 4) (* -1 (log (/ 1 s))))>
#<alt (+ (log 4) (+ (* -1 (log (/ 1 s))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ (log 4) (+ (* -1 (log (/ 1 s))) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (+ (log 4) (+ (* -1 (log (/ 1 s))) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))))>
#<alt (+ (log -4) (* -1 (log (/ -1 s))))>
#<alt (+ (log -4) (+ (* -1 (log (/ -1 s))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ (log -4) (+ (* -1 (log (/ -1 s))) (+ (* 1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (+ (log -4) (+ (* -1 (log (/ -1 s))) (+ (* -1 (/ (+ (* -1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* -1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 4 s)>
#<alt (* s (+ 4 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (* s (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (* s (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* 4 s)>
#<alt (* -1 (* s (- (* -1 (/ (pow (fabs x) 2) (pow s 2))) 4)))>
#<alt (* -1 (* s (- (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))>
#<alt (* -1 (* s (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
Calls

135 calls:

TimeVariablePointExpression
88.0ms
x
@inf
(exp (neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))))
70.0ms
x
@-inf
(exp (neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))))
25.0ms
x
@0
(exp (neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))))
22.0ms
s
@0
(exp (neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))))
5.0ms
s
@inf
(/ (exp (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s))))))) s)

rewrite422.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
4740×*-lowering-*.f32
4740×*-lowering-*.f64
2978×/-lowering-/.f32
2978×/-lowering-/.f64
1772×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047299
1289209
22602205
08866205
Stop Event
1×iter limit
1×node limit
Counts
23 → 638
Calls
Call 1
Inputs
(/ (exp (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s))))))) s)
(exp (neg (log (+ 2 (* 2 (cosh (/ (fabs x) s)))))))
(neg (log (+ 2 (* 2 (cosh (/ (fabs x) s))))))
(log (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(/ s (* x x))
(* x x)
(/ (/ 1 (+ (* (* (/ x s) x) (/ 1 s)) 4)) s)
(/ 1 (+ (* (* (/ x s) x) (/ 1 s)) 4))
(+ (* (* (/ x s) x) (/ 1 s)) 4)
(* (* (/ x s) x) (/ 1 s))
(/ (/ 1 (/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))))) s)
(/ 1 (/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x))))))
(/ (+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64) (+ 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ (* s s) (* x x)))))
(+ (/ (/ x (/ (* s s) x)) (* (* s (* (/ s (* x x)) s)) (/ s (* x x)))) 64)
(exp (neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))))
(neg (log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s))))
(log (* (+ (cosh (/ (fabs x) s)) 1) (* 2 s)))
(* (+ (cosh (/ (fabs x) s)) 1) (* 2 s))
(cosh (/ (fabs x) s))
(* (/ x s) x)
(/ (* s s) (* x x))
(/ (* s s) x)
(* (/ s (* x x)) s)
Outputs
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s)))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s))
(exp.f32 (neg.f32 (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
(exp.f32 (+.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (*.f32 (log.f32 s) #s(literal -1 binary32))))
(exp.f32 (+.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)) (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
(exp.f32 (-.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(pow.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(pow.f32 (/.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
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(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) s) (+.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal -1 binary32))) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) s)) (+.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) s)) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 s (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 s (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (exp.f32 (log.f32 s)))
(*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))
(*.f32 (*.f32 #s(literal 2 binary32) s) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(cosh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(pow.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(exp.f32 (+.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 s) #s(literal -1 binary32))))
(pow.f32 (/.f32 s (*.f32 x x)) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))
(/.f32 x (/.f32 s x))
(/.f32 (*.f32 x x) s)
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x x)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (neg.f32 s))
(/.f32 (*.f32 x #s(literal 1 binary32)) (/.f32 s x))
(/.f32 (*.f32 #s(literal 1 binary32) x) (/.f32 s x))
(/.f32 (*.f32 (*.f32 x x) #s(literal 1 binary32)) s)
(*.f32 x (/.f32 x s))
(*.f32 x (*.f32 (/.f32 x s) #s(literal 1 binary32)))
(*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(*.f32 (/.f32 x s) x)
(*.f32 (/.f32 x s) (*.f32 x #s(literal 1 binary32)))
(*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))
(neg.f32 (neg.f32 (/.f32 s (/.f32 x (/.f32 s x)))))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 s x)) #s(literal 2 binary32)))
(exp.f32 (-.f32 (*.f32 (log.f32 s) #s(literal 2 binary32)) (*.f32 (log.f32 x) #s(literal 2 binary32))))
(pow.f32 (/.f32 x s) #s(literal -2 binary32))
(pow.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (/.f32 x (/.f32 s x))) #s(literal 1 binary32))
(pow.f32 (/.f32 s x) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 s (/.f32 x (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 s s) (*.f32 x x))
(/.f32 (/.f32 (*.f32 s s) x) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 (*.f32 s s) x))))
(/.f32 (neg.f32 (/.f32 (*.f32 s s) x)) (neg.f32 x))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 1 binary32) s) (/.f32 x (/.f32 s x)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(*.f32 s (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 x x)) s)
(*.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x (/.f32 s x))))
(*.f32 (*.f32 s s) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (*.f32 s s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(*.f32 (/.f32 s x) (/.f32 s x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 s s) x))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 x)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 s s) x))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 0 binary32) (*.f32 s s))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 s s))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(neg.f32 (neg.f32 (/.f32 (*.f32 s s) x)))
(exp.f32 (*.f32 (log.f32 (/.f32 x (*.f32 s s))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s s) x) #s(literal 1 binary32))
(pow.f32 (/.f32 x (*.f32 s s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 x (*.f32 s s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (*.f32 s s)) #s(literal 1 binary32)))
(/.f32 (*.f32 s s) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (*.f32 s s))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (neg.f32 x))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))) (neg.f32 (neg.f32 x)))
(*.f32 s (/.f32 s x))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) x))
(*.f32 (*.f32 s s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(*.f32 (/.f32 s x) s)
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 s s))
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 s s))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(neg.f32 (neg.f32 (/.f32 s (/.f32 x (/.f32 s x)))))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 s x)) #s(literal 2 binary32)))
(exp.f32 (-.f32 (*.f32 (log.f32 s) #s(literal 2 binary32)) (*.f32 (log.f32 x) #s(literal 2 binary32))))
(pow.f32 (/.f32 x s) #s(literal -2 binary32))
(pow.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (/.f32 x (/.f32 s x))) #s(literal 1 binary32))
(pow.f32 (/.f32 s x) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 s (/.f32 x (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 1 binary32)))
(/.f32 (*.f32 s s) (*.f32 x x))
(/.f32 (/.f32 (*.f32 s s) x) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 (*.f32 s s) x))))
(/.f32 (neg.f32 (/.f32 (*.f32 s s) x)) (neg.f32 x))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 1 binary32) s) (/.f32 x (/.f32 s x)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(*.f32 s (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 x x)) s)
(*.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x (/.f32 s x))))
(*.f32 (*.f32 s s) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (*.f32 s s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(*.f32 (/.f32 s x) (/.f32 s x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 s s) x))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 x)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 s s) x))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 0 binary32) (*.f32 s s))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 s s))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))))

simplify427.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
3520×*-lowering-*.f32
3520×*-lowering-*.f64
2552×+-lowering-+.f64
2552×+-lowering-+.f32
1772×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05069251
116977391
269827126
083007126
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/ (exp (neg (log 4))) s)
(/ (+ (exp (neg (log 4))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))))) s)
(/ (+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (+ (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))) (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) (pow s 4))))) s)
(/ (exp (neg (log 4))) s)
(* -1 (/ (+ (* -1 (exp (neg (log 4)))) (* 1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2)))) s))
(* -1 (/ (+ (* -1 (exp (neg (log 4)))) (+ (* 1/4 (/ (* (exp (neg (log 4))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* 1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))) s))
(* -1 (/ (+ (* -1 (exp (neg (log 4)))) (+ (* -1 (/ (+ (* -1/4 (* (exp (neg (log 4))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) s)) (pow s 3))) (* 1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))) s))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(exp (neg (log 4)))
(+ (exp (neg (log 4))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))
(+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3)))))
(+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (+ (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))) (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) (pow s 4)))))
(exp (neg (log 4)))
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64
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(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (pow s 2) (pow x 2))
Outputs
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/ (exp (neg (log 4))) s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (+ (exp (neg (log 4))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2)))) s)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)
(/ (+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) (+.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/8 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/8 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 s s)))))) s)
(/ (+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (+ (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))) (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) (pow s 4))))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) (+.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/8 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/8 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 s s)))))) (*.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 #s(literal -1/3 binary32) (fabs.f32 x)))))) (+.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 1/32 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 1/32 binary32)))) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 4 binary32))))) s)
(/ (exp (neg (log 4))) s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (+ (* -1 (exp (neg (log 4)))) (* 1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2)))) s))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)
(* -1 (/ (+ (* -1 (exp (neg (log 4)))) (+ (* 1/4 (/ (* (exp (neg (log 4))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* 1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))) s))
(/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/8 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/8 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))) (neg.f32 s))
(* -1 (/ (+ (* -1 (exp (neg (log 4)))) (+ (* -1 (/ (+ (* -1/4 (* (exp (neg (log 4))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) s)) (pow s 3))) (* 1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))) s))
(/.f32 (+.f32 #s(literal -1/4 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/8 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/8 binary32)))) (*.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)))))) (+.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 1/32 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 1/32 binary32)))) (/.f32 #s(literal 1/4 binary32) s))) (*.f32 s (*.f32 s s))))) (neg.f32 s))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp (neg (log 4)))
#s(literal 1/4 binary32)
(+ (exp (neg (log 4))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))
(+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3)))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) (+.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/8 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/8 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 s s))))))
(+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))) (+ (* 1/4 (/ (* (exp (neg (log 4))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (pow s 3))) (/ (* (exp (neg (log 4))) (+ (* -1/24 (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4)))) (* 1/32 (pow (fabs x) 4)))) (pow s 4)))))
(+.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) (+.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/8 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/8 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 s s)))))) (*.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 #s(literal -1/3 binary32) (fabs.f32 x)))))) (+.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 1/32 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 1/32 binary32)))) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 4 binary32)))))
(exp (neg (log 4)))
#s(literal 1/4 binary32)
(+ (exp (neg (log 4))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))
(+ (exp (neg (log 4))) (+ (* -1/4 (/ (* (exp (neg (log 4))) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* -1/4 (/ (* (exp (neg (log 4))) (pow (fabs x) 2)) (pow s 2)))))
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#s(literal 64 binary32)
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#s(literal 64 binary32)
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64
#s(literal 64 binary32)
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(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))
(/ (pow s 2) (pow x 2))
(/.f32 (*.f32 s s) (*.f32 x x))

eval186.0ms (1.3%)

Compiler

Compiled 46989 to 3631 computations (92.3% saved)

prune186.0ms (1.3%)

Pruning

47 alts after pruning (42 fresh and 5 done)

PrunedKeptTotal
New1389211410
Fresh72128
Picked325
Done033
Total1399471446
Accuracy
99.6%
Counts
1446 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
63.2%
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
16.0%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
26.0%
(/.f32 (/.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) s)
▶15.2%
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
▶26.4%
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
7.3%
(/.f32 (/.f32 (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 4 binary32))) s)
57.9%
(/.f32 (/.f32 (+.f32 (*.f32 s s) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) s)
16.0%
(/.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) s)
59.4%
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
99.3%
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
▶41.5%
(/.f32 (/.f32 s x) x)
15.9%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x)) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
22.0%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
21.9%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
22.0%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s s)))) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
22.0%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (*.f32 (/.f32 s x) s)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
61.4%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
83.3%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) s)
77.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) (/.f32 s x)) #s(literal 4 binary32))) s)
76.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 4 binary32))) s)
77.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (*.f32 x x))) (neg.f32 s)) #s(literal 4 binary32))) s)
▶77.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
✓79.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
79.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 2 binary32))) s)
78.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))) s)
✓77.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
✓99.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
65.3%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) s)
41.7%
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
83.4%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
14.3%
(/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) #s(literal -1/24 binary32))) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s)))))) s)
38.9%
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
14.7%
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))))) #s(literal -4096 binary32))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal -64 binary32))) s)
22.0%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s))))) s)
20.8%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
99.3%
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 #s(literal 2 binary32) s))
✓41.2%
(/.f32 s (*.f32 x x))
42.4%
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
99.4%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
83.3%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
✓26.4%
(/.f32 #s(literal 1/4 binary32) s)
41.5%
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
83.4%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))) (/.f32 #s(literal 1 binary32) s))
41.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
22.0%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s)))))
38.0%
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
Compiler

Compiled 2589 to 1312 computations (49.3% saved)

simplify300.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))
✓cost-diff0
(-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x)))))
✓cost-diff0
(/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))))))
✓cost-diff0
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
✓cost-diff0
(/.f32 x (/.f32 (*.f32 s s) x))
✓cost-diff0
(+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))
✓cost-diff0
(/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32)))
✓cost-diff0
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
✓cost-diff0
(/.f32 (*.f32 (/.f32 x s) x) s)
✓cost-diff0
(+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32)))
✓cost-diff0
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
✓cost-diff0
(/.f32 s x)
✓cost-diff0
(/.f32 (/.f32 s x) x)
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
✓cost-diff0
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))
✓cost-diff6400
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
✓cost-diff6400
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
Rules
4652×*-lowering-*.f32
4652×*-lowering-*.f64
2722×/-lowering-/.f32
2722×/-lowering-/.f64
1404×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053633
1132516
2488475
32956416
46520416
08077416
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) s)
(pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2)
(pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2)
(+ 2 (* 2 (cosh (/ (fabs x) s))))
2
(* 2 (cosh (/ (fabs x) s)))
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
-1/2
(/ (/ s x) x)
(/ s x)
s
x
(/ (/ 1 (+ (/ (* (/ x s) x) s) 4)) s)
(/ 1 (+ (/ (* (/ x s) x) s) 4))
1
(+ (/ (* (/ x s) x) s) 4)
(/ (* (/ x s) x) s)
(* (/ x s) x)
(/ x s)
x
s
4
(/ (/ (+ (/ x (/ (* s s) x)) -4) (+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16)) s)
(/ (+ (/ x (/ (* s s) x)) -4) (+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16))
(+ (/ x (/ (* s s) x)) -4)
(/ x (/ (* s s) x))
x
(/ (* s s) x)
(* s s)
s
-4
(+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16)
(/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x))
(/ (/ x (/ (* s s) x)) (/ s x))
(/ s x)
-16
(/ (/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))))) s)
(/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))))))
(- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x)))))
256
(/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))
(/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))
(+ (/ x (/ (* s s) x)) -4)
(/ x (/ (* s s) x))
x
(/ (* s s) x)
(* s s)
s
-4
(/ s (/ x (/ s x)))
(/ x (/ s x))
(/ s x)
(/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x)))
(* (+ (/ x (/ (* s s) x)) -4) (* x x))
(* x x)
(* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))))
(+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64)
(/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x))))
(/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))
(/ (* s (* s s)) (* x x))
(* s (* s s))
64
(- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))))
16
Outputs
(/ (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
(pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2)
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
2
#s(literal 2 binary32)
(* 2 (cosh (/ (fabs x) s)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
-1/2
#s(literal -1/2 binary32)
(/ (/ s x) x)
(/.f32 (/.f32 s x) x)
(/ s x)
(/.f32 s x)
s
x
(/ (/ 1 (+ (/ (* (/ x s) x) s) 4)) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))) s)
(/ 1 (+ (/ (* (/ x s) x) s) 4))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x))))
1
#s(literal 1 binary32)
(+ (/ (* (/ x s) x) s) 4)
(+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))
(/ (* (/ x s) x) s)
(/.f32 x (/.f32 (*.f32 s s) x))
(* (/ x s) x)
(/.f32 x (/.f32 s x))
(/ x s)
(/.f32 x s)
x
s
4
#s(literal 4 binary32)
(/ (/ (+ (/ x (/ (* s s) x)) -4) (+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16)) s)
(/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 s (+.f32 (/.f32 x (*.f32 s (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) x))) #s(literal -16 binary32))))
(/ (+ (/ x (/ (* s s) x)) -4) (+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16))
(/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 x (*.f32 s (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) x))) #s(literal -16 binary32)))
(+ (/ x (/ (* s s) x)) -4)
(+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))
(/ x (/ (* s s) x))
(/.f32 x (/.f32 (*.f32 s s) x))
x
(/ (* s s) x)
(/.f32 (*.f32 s s) x)
(* s s)
(*.f32 s s)
s
-4
#s(literal -4 binary32)
(+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16)
(+.f32 (/.f32 x (*.f32 s (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) x))) #s(literal -16 binary32))
(/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x))
(/.f32 x (*.f32 s (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) x)))
(/ (/ x (/ (* s s) x)) (/ s x))
(/.f32 x (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)))
(/ s x)
(/.f32 s x)
-16
#s(literal -16 binary32)
(/ (/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))))) s)
(/.f32 (+.f32 #s(literal 256 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x))) (-.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))))) (*.f32 s (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x))) (/.f32 (/.f32 (*.f32 s s) x) x))))))
(/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))))))
(/.f32 (+.f32 #s(literal 256 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x))) (-.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x))) (/.f32 (/.f32 (*.f32 s s) x) x)))))
(- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x)))))
(+.f32 #s(literal 256 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x))) (-.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x))))))
256
#s(literal 256 binary32)
(/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))
(/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))))
(/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))
(/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (/.f32 (*.f32 s s) x) x))
(+ (/ x (/ (* s s) x)) -4)
(+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))
(/ x (/ (* s s) x))
(/.f32 x (/.f32 (*.f32 s s) x))
x
(/ (* s s) x)
(/.f32 (*.f32 s s) x)
(* s s)
(*.f32 s s)
s
-4
#s(literal -4 binary32)
(/ s (/ x (/ s x)))
(/.f32 (/.f32 (*.f32 s s) x) x)
(/ x (/ s x))
(/.f32 x (/.f32 s x))
(/ s x)
(/.f32 s x)
(/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x)))
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)))
(* (+ (/ x (/ (* s s) x)) -4) (* x x))
(*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))
(* x x)
(*.f32 x x)
(* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))))
(*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x))) (/.f32 (/.f32 (*.f32 s s) x) x))))
(+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64)
(+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))
(/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x))))
(/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x))))
(/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))
(/.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 x (/.f32 s x)))
(/ (* s (* s s)) (* x x))
(*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x))
(* s (* s s))
(*.f32 s (*.f32 s s))
64
#s(literal 64 binary32)
(- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))))
(+.f32 #s(literal 16 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x))) (/.f32 (/.f32 (*.f32 s s) x) x)))
16
#s(literal 16 binary32)

localize439.0ms (3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy86.8%
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
✓accuracy82.8%
(/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x)))
✓accuracy79.4%
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
✓accuracy33.1%
(/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))))))
✓accuracy96.8%
(/.f32 x (/.f32 (*.f32 s s) x))
✓accuracy89.9%
(/.f32 (*.f32 s s) x)
✓accuracy86.8%
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
✓accuracy41.3%
(/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32)))
✓accuracy99.6%
(*.f32 (/.f32 x s) x)
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32)))
✓accuracy95.3%
(/.f32 (*.f32 (/.f32 x s) x) s)
✓accuracy86.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
✓accuracy100.0%
(/.f32 s x)
✓accuracy99.6%
(/.f32 (/.f32 s x) x)
✓accuracy99.9%
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
✓accuracy99.3%
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))
Results
311.0ms256×0valid
Compiler

Compiled 741 to 54 computations (92.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-div: 84.0ms (63% of total)
ival-pow: 19.0ms (14.3% of total)
ival-mult: 12.0ms (9% of total)
ival-add: 8.0ms (6% of total)
ival-cosh: 3.0ms (2.3% of total)
ival-fabs: 2.0ms (1.5% of total)
ival-sub: 2.0ms (1.5% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.3%)

Counts
23 → 552
Calls
Call 1
Inputs
#<alt (/ (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) s)>
#<alt (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2)>
#<alt (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2)>
#<alt (+ 2 (* 2 (cosh (/ (fabs x) s))))>
#<alt (/ (/ s x) x)>
#<alt (/ s x)>
#<alt (/ (/ 1 (+ (/ (* (/ x s) x) s) 4)) s)>
#<alt (/ 1 (+ (/ (* (/ x s) x) s) 4))>
#<alt (+ (/ (* (/ x s) x) s) 4)>
#<alt (/ (* (/ x s) x) s)>
#<alt (/ (/ (+ (/ x (/ (* s s) x)) -4) (+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16)) s)>
#<alt (/ (+ (/ x (/ (* s s) x)) -4) (+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16))>
#<alt (+ (/ x (/ (* s s) x)) -4)>
#<alt (/ x (/ (* s s) x))>
#<alt (/ (/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))))) s)>
#<alt (/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))))))>
#<alt (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x)))))>
#<alt (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))>
#<alt (cosh (/ (fabs x) s))>
#<alt (* (/ x s) x)>
#<alt (/ (* s s) x)>
#<alt (/ (* s (* s s)) (* x x))>
#<alt (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x)))>
Outputs
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1/2 (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))>
#<alt (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (+ (* -1/64 (pow (fabs x) 4)) (* 1/256 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1/2 (+ (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (+ (* -1/64 (/ (pow (fabs x) 4) s)) (+ (* 1/256 (/ (pow (fabs x) 4) s)) (* 1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) (pow s 3))) (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt 4>
#<alt (+ 4 (/ (pow (fabs x) 2) (pow s 2)))>
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt 4>
#<alt (+ 4 (/ (pow (fabs x) 2) (pow s 2)))>
#<alt (+ 4 (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (+ (* -1/2 (/ (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)) (+ (* -1/6 (/ (pow (fabs x) 4) s)) (/ (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) s)))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ 1/4 s)>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (/ s (pow x 2))>
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* s (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (* s (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/256 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 6))) (* 1/64 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))>
#<alt (/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))>
#<alt (/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))>
#<alt 4>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
#<alt (+ 4 (/ (pow x 2) (pow s 2)))>
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#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))>
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#<alt 4>
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#<alt 4>
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#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ 1/4 s)>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (/ s (pow x 2))>
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (+ s (+ (* -4 (/ (pow s 3) (pow x 2))) (* 16 (/ (pow s 5) (pow x 4))))) (pow x 2))>
#<alt (/ (- (+ s (+ (* -64 (/ (pow s 7) (pow x 6))) (* -4 (/ (pow s 3) (pow x 2))))) (* -16 (/ (pow s 5) (pow x 4)))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
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#<alt (/ (- (+ s (+ (* -64 (/ (pow s 7) (pow x 6))) (* -4 (/ (pow s 3) (pow x 2))))) (* -16 (/ (pow s 5) (pow x 4)))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
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#<alt (* s (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (/ 1/4 s)>
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#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))>
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#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/256 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
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#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 6))) (* 1/64 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))>
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#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2))) (pow x 2))>
#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2))) (* -16 (/ (pow s 6) (pow x 4)))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))>
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#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2))) (* -16 (/ (pow s 6) (pow x 4)))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
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#<alt (* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* 1/64 (/ (pow x 4) (pow s 4)))))>
#<alt (- (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* -1/256 (/ (pow x 6) (pow s 6))))) (* -1/64 (/ (pow x 4) (pow s 4))))>
#<alt 1/4>
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#<alt (- (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow s 2))) (* -1/256 (/ (pow x 6) (pow s 6))))) (* -1/64 (/ (pow x 4) (pow s 4))))>
#<alt -4>
#<alt (- (/ (pow x 2) (pow s 2)) 4)>
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#<alt (- (/ (pow x 2) (pow s 2)) 4)>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (* (pow x 2) (- (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (* (pow x 2) (- (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (+ (* -4 (pow s 2)) (pow x 2)) (pow s 2))>
#<alt (/ (+ (* -4 (pow s 2)) (pow x 2)) (pow s 2))>
#<alt (/ (+ (* -4 (pow s 2)) (pow x 2)) (pow s 2))>
#<alt -4>
#<alt (- (/ (pow x 2) (pow s 2)) 4)>
#<alt (- (/ (pow x 2) (pow s 2)) 4)>
#<alt (- (/ (pow x 2) (pow s 2)) 4)>
#<alt -4>
#<alt (- (/ (pow x 2) (pow s 2)) 4)>
#<alt (- (/ (pow x 2) (pow s 2)) 4)>
#<alt (- (/ (pow x 2) (pow s 2)) 4)>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ 1/4 s)>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))>
#<alt (/ s (pow x 2))>
#<alt (/ (- (+ s (* -8 (/ (pow s 3) (pow x 2)))) (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (+ (* -8 (/ (pow s 3) (pow x 2))) (* 16 (/ (pow s 5) (pow x 4))))) (+ (* -16 (/ (pow s 5) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 3)) (* -4 (pow s 3)))) (pow x 4))) (* -4 (/ (pow s 3) (pow x 2)))))) (pow x 2))>
#<alt (/ (- (+ s (+ (* -8 (/ (pow s 3) (pow x 2))) (+ (* -1 (/ (+ (* -16 (* (pow s 4) (- (* -8 (pow s 3)) (* -4 (pow s 3))))) (+ (* -4 (* (pow s 2) (- (* 16 (pow s 5)) (+ (* -16 (pow s 5)) (* -4 (* (pow s 2) (- (* -8 (pow s 3)) (* -4 (pow s 3))))))))) (* 64 (pow s 7)))) (pow x 6))) (* 16 (/ (pow s 5) (pow x 4)))))) (+ (* -16 (/ (pow s 5) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 3)) (* -4 (pow s 3)))) (pow x 4))) (* -4 (/ (pow s 3) (pow x 2)))))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ (- (+ s (* -8 (/ (pow s 3) (pow x 2)))) (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ s (+ (* -8 (/ (pow s 3) (pow x 2))) (* 16 (/ (pow s 5) (pow x 4))))) (+ (* -16 (/ (pow s 5) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 3)) (* -4 (pow s 3)))) (pow x 4))) (* -4 (/ (pow s 3) (pow x 2)))))) (pow x 2))>
#<alt (/ (- (+ s (+ (* -8 (/ (pow s 3) (pow x 2))) (+ (* -1 (/ (+ (* -16 (* (pow s 4) (- (* -8 (pow s 3)) (* -4 (pow s 3))))) (+ (* -4 (* (pow s 2) (- (* 16 (pow s 5)) (+ (* -16 (pow s 5)) (* -4 (* (pow s 2) (- (* -8 (pow s 3)) (* -4 (pow s 3))))))))) (* 64 (pow s 7)))) (pow x 6))) (* 16 (/ (pow s 5) (pow x 4)))))) (+ (* -16 (/ (pow s 5) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 3)) (* -4 (pow s 3)))) (pow x 4))) (* -4 (/ (pow s 3) (pow x 2)))))) (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
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#<alt (* s (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (/ 1/4 s)>
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#<alt (/ 1/4 s)>
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#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -1/64 (pow x 4)) (* -1/32 (pow x 4))) (pow s 4))) (+ (* 1/16 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (* (pow x 2) (- (* -1/64 (pow x 4)) (* -1/32 (pow x 4)))) (pow s 6))))) 1/4) s))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 6))) (* 1/64 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (pow s 2)) (* -4 (/ (pow s 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2))) (+ (* -16 (/ (pow s 6) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4)))) (pow x 4))) (* -4 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -1 (/ (+ (* -16 (* (pow s 4) (- (* -8 (pow s 4)) (* -4 (pow s 4))))) (+ (* -4 (* (pow s 2) (- (* 16 (pow s 6)) (+ (* -16 (pow s 6)) (* -4 (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4))))))))) (* 64 (pow s 8)))) (pow x 6))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)))) (+ (* -16 (/ (pow s 6) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4)))) (pow x 4))) (* -4 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (pow s 2)) (* -4 (/ (pow s 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2))) (+ (* -16 (/ (pow s 6) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4)))) (pow x 4))) (* -4 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -1 (/ (+ (* -16 (* (pow s 4) (- (* -8 (pow s 4)) (* -4 (pow s 4))))) (+ (* -4 (* (pow s 2) (- (* 16 (pow s 6)) (+ (* -16 (pow s 6)) (* -4 (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4))))))))) (* 64 (pow s 8)))) (pow x 6))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)))) (+ (* -16 (/ (pow s 6) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4)))) (pow x 4))) (* -4 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (/ (pow s 2) (pow x 2))>
#<alt (* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1/64 (/ (pow x 4) (pow s 4)))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))>
#<alt (- (+ 1/4 (+ (* -1/4 (/ (* (pow x 2) (- (* -1/64 (pow x 4)) (* -1/32 (pow x 4)))) (pow s 6))) (* -1/64 (/ (pow x 4) (pow s 4))))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1/64 (/ (pow x 4) (pow s 4)))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))>
#<alt (- (+ 1/4 (+ (* -1/4 (/ (* (pow x 2) (- (* -1/64 (pow x 4)) (* -1/32 (pow x 4)))) (pow s 6))) (* -1/64 (/ (pow x 4) (pow s 4))))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))>
#<alt 256>
#<alt (+ 256 (* -16 (/ (pow x 4) (pow s 4))))>
#<alt (+ 256 (* (pow x 4) (- (* 8 (/ (pow x 2) (pow s 6))) (* 16 (/ 1 (pow s 4))))))>
#<alt (+ 256 (* (pow x 4) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow s 8))) (* 8 (/ 1 (pow s 6))))) (* 16 (/ 1 (pow s 4))))))>
#<alt (* -1 (/ (pow x 8) (pow s 8)))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (* (pow s 6) (pow x 2)))) (/ 1 (pow s 8))))>
#<alt (* (pow x 8) (- (/ 8 (* (pow s 6) (pow x 2))) (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4))))))>
#<alt (* (pow x 8) (- (+ (* 256 (/ 1 (pow x 8))) (/ 8 (* (pow s 6) (pow x 2)))) (+ (* 16 (/ 1 (* (pow s 4) (pow x 4)))) (/ 1 (pow s 8)))))>
#<alt (* -1 (/ (pow x 8) (pow s 8)))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (* (pow s 6) (pow x 2)))) (/ 1 (pow s 8))))>
#<alt (* (pow x 8) (- (/ 8 (* (pow s 6) (pow x 2))) (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4))))))>
#<alt (* (pow x 8) (- (+ (* 256 (/ 1 (pow x 8))) (/ 8 (* (pow s 6) (pow x 2)))) (+ (* 16 (/ 1 (* (pow s 4) (pow x 4)))) (/ 1 (pow s 8)))))>
#<alt (* -1 (/ (pow x 8) (pow s 8)))>
#<alt (/ (- (* 8 (* (pow s 2) (pow x 6))) (pow x 8)) (pow s 8))>
#<alt (/ (- (* (pow s 2) (- (* -16 (* (pow s 2) (pow x 4))) (* -8 (pow x 6)))) (pow x 8)) (pow s 8))>
#<alt (/ (- (* (pow s 2) (- (* (pow s 2) (- (* 256 (pow s 4)) (* 16 (pow x 4)))) (* -8 (pow x 6)))) (pow x 8)) (pow s 8))>
#<alt 256>
#<alt (+ 256 (* -16 (/ (pow x 4) (pow s 4))))>
#<alt (- (+ 256 (* 8 (/ (pow x 6) (pow s 6)))) (* 16 (/ (pow x 4) (pow s 4))))>
#<alt (- (+ 256 (* -1 (/ (pow x 8) (pow s 8)))) (+ (* -8 (/ (pow x 6) (pow s 6))) (* 16 (/ (pow x 4) (pow s 4)))))>
#<alt 256>
#<alt (+ 256 (* -16 (/ (pow x 4) (pow s 4))))>
#<alt (- (+ 256 (* 8 (/ (pow x 6) (pow s 6)))) (* 16 (/ (pow x 4) (pow s 4))))>
#<alt (- (+ 256 (* -1 (/ (pow x 8) (pow s 8)))) (+ (* -8 (/ (pow x 6) (pow s 6))) (* 16 (/ (pow x 4) (pow s 4)))))>
#<alt (* 16 (/ (pow x 4) (pow s 4)))>
#<alt (* (pow x 4) (+ (* -8 (/ (pow x 2) (pow s 6))) (* 16 (/ 1 (pow s 4)))))>
#<alt (* (pow x 4) (+ (* (pow x 2) (- (/ (pow x 2) (pow s 8)) (* 8 (/ 1 (pow s 6))))) (* 16 (/ 1 (pow s 4)))))>
#<alt (* (pow x 4) (+ (* (pow x 2) (- (/ (pow x 2) (pow s 8)) (* 8 (/ 1 (pow s 6))))) (* 16 (/ 1 (pow s 4)))))>
#<alt (/ (pow x 8) (pow s 8))>
#<alt (* (pow x 8) (- (/ 1 (pow s 8)) (* 8 (/ 1 (* (pow s 6) (pow x 2))))))>
#<alt (* (pow x 8) (- (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4)))) (/ 8 (* (pow s 6) (pow x 2)))))>
#<alt (* (pow x 8) (- (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4)))) (/ 8 (* (pow s 6) (pow x 2)))))>
#<alt (/ (pow x 8) (pow s 8))>
#<alt (* (pow x 8) (- (/ 1 (pow s 8)) (* 8 (/ 1 (* (pow s 6) (pow x 2))))))>
#<alt (* (pow x 8) (- (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4)))) (/ 8 (* (pow s 6) (pow x 2)))))>
#<alt (* (pow x 8) (- (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4)))) (/ 8 (* (pow s 6) (pow x 2)))))>
#<alt (/ (pow x 8) (pow s 8))>
#<alt (/ (+ (* -8 (* (pow s 2) (pow x 6))) (pow x 8)) (pow s 8))>
#<alt (/ (+ (* (pow s 2) (+ (* -8 (pow x 6)) (* 16 (* (pow s 2) (pow x 4))))) (pow x 8)) (pow s 8))>
#<alt (/ (+ (* (pow s 2) (+ (* -8 (pow x 6)) (* 16 (* (pow s 2) (pow x 4))))) (pow x 8)) (pow s 8))>
#<alt (* 16 (/ (pow x 4) (pow s 4)))>
#<alt (/ (+ (* -8 (/ (pow x 6) (pow s 2))) (* 16 (pow x 4))) (pow s 4))>
#<alt (/ (+ (* -8 (/ (pow x 6) (pow s 2))) (+ (* 16 (pow x 4)) (/ (pow x 8) (pow s 4)))) (pow s 4))>
#<alt (/ (+ (* -8 (/ (pow x 6) (pow s 2))) (+ (* 16 (pow x 4)) (/ (pow x 8) (pow s 4)))) (pow s 4))>
#<alt (* 16 (/ (pow x 4) (pow s 4)))>
#<alt (/ (+ (* -8 (/ (pow x 6) (pow s 2))) (* 16 (pow x 4))) (pow s 4))>
#<alt (/ (+ (* -8 (/ (pow x 6) (pow s 2))) (+ (* 16 (pow x 4)) (/ (pow x 8) (pow s 4)))) (pow s 4))>
#<alt (/ (+ (* -8 (/ (pow x 6) (pow s 2))) (+ (* 16 (pow x 4)) (/ (pow x 8) (pow s 4)))) (pow s 4))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 2) x)>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 3) (pow x 2))>
#<alt (/ (pow s 4) (pow x 4))>
#<alt (* (pow s 4) (+ (* 4 (/ (pow s 2) (pow x 6))) (/ 1 (pow x 4))))>
#<alt (* (pow s 4) (+ (* (pow s 2) (+ (* 16 (/ (pow s 2) (pow x 8))) (* 4 (/ 1 (pow x 6))))) (/ 1 (pow x 4))))>
#<alt (* (pow s 4) (+ (* (pow s 2) (+ (* (pow s 2) (+ (* 64 (/ (pow s 2) (pow x 10))) (* 16 (/ 1 (pow x 8))))) (* 4 (/ 1 (pow x 6))))) (/ 1 (pow x 4))))>
#<alt (* -1/4 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (- (* -1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (- (* -1/256 (/ (pow x 4) (pow s 6))) (+ (* 1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))))>
#<alt (* -1/4 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (- (* -1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (- (* -1/256 (/ (pow x 4) (pow s 6))) (+ (* 1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))))>
#<alt (* -1/4 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* -1/4 (pow s 2)) (* -1/16 (pow x 2))) (pow x 2))>
#<alt (/ (+ (* -1/4 (pow s 2)) (* (pow x 2) (- (* -1/64 (/ (pow x 2) (pow s 2))) 1/16))) (pow x 2))>
#<alt (/ (+ (* -1/4 (pow s 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (pow s 4))) (* 1/64 (/ 1 (pow s 2))))) 1/16))) (pow x 2))>
#<alt (/ (pow s 4) (pow x 4))>
#<alt (/ (+ (* 4 (/ (pow s 6) (pow x 2))) (pow s 4)) (pow x 4))>
#<alt (/ (- (+ (* 16 (/ (pow s 8) (pow x 4))) (pow s 4)) (* -4 (/ (pow s 6) (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ (* 64 (/ (pow s 10) (pow x 6))) (pow s 4)) (+ (* -16 (/ (pow s 8) (pow x 4))) (* -4 (/ (pow s 6) (pow x 2))))) (pow x 4))>
#<alt (/ (pow s 4) (pow x 4))>
#<alt (/ (+ (* 4 (/ (pow s 6) (pow x 2))) (pow s 4)) (pow x 4))>
#<alt (/ (- (+ (* 16 (/ (pow s 8) (pow x 4))) (pow s 4)) (* -4 (/ (pow s 6) (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ (* 64 (/ (pow s 10) (pow x 6))) (pow s 4)) (+ (* -16 (/ (pow s 8) (pow x 4))) (* -4 (/ (pow s 6) (pow x 2))))) (pow x 4))>
Calls

138 calls:

TimeVariablePointExpression
3.0ms
s
@0
(/ (/ (+ (/ x (/ (* s s) x)) -4) (+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16)) s)
1.0ms
x
@inf
(/ (/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))))) s)
1.0ms
s
@inf
(/ (/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))))) s)
1.0ms
x
@0
(/ (/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))))) s)
1.0ms
x
@inf
(/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))))))

rewrite419.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
2690×*-lowering-*.f32
2690×*-lowering-*.f64
2626×fma-lowering-fma.f32
2626×fma-lowering-fma.f64
2556×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053358
1374201
24049197
08083197
Stop Event
1×iter limit
1×node limit
Counts
23 → 678
Calls
Call 1
Inputs
(/ (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) s)
(pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2)
(pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2)
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(/ (/ s x) x)
(/ s x)
(/ (/ 1 (+ (/ (* (/ x s) x) s) 4)) s)
(/ 1 (+ (/ (* (/ x s) x) s) 4))
(+ (/ (* (/ x s) x) s) 4)
(/ (* (/ x s) x) s)
(/ (/ (+ (/ x (/ (* s s) x)) -4) (+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16)) s)
(/ (+ (/ x (/ (* s s) x)) -4) (+ (/ (/ (/ x (/ (* s s) x)) (/ s x)) (/ s x)) -16))
(+ (/ x (/ (* s s) x)) -4)
(/ x (/ (* s s) x))
(/ (/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x))))))) s)
(/ (- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))) (* (+ (/ (/ x (/ (* s s) x)) (/ (/ (* s (* s s)) (* x x)) (/ x (/ s x)))) 64) (- 16 (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))))))
(- 256 (/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x)))))
(/ (/ (+ (/ x (/ (* s s) x)) -4) (/ s (/ x (/ s x)))) (/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x))))
(cosh (/ (fabs x) s))
(* (/ x s) x)
(/ (* s s) x)
(/ (* s (* s s)) (* x x))
(/ (* s s) (* (+ (/ x (/ (* s s) x)) -4) (* x x)))
Outputs
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s)))
(neg.f32 (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)) s)
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s))
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
(exp.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/4 binary32)) (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))))
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/4 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/4 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(exp.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))
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(/.f32 (/.f32 s x) (/.f32 x (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) #s(literal 1 binary32)))
(/.f32 (/.f32 s (/.f32 x s)) (/.f32 x s))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) x)
(/.f32 (*.f32 s #s(literal 1 binary32)) (/.f32 x (/.f32 s (/.f32 x s))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 s s))) (/.f32 x (/.f32 s (neg.f32 x))))
(/.f32 (*.f32 (neg.f32 s) #s(literal 1 binary32)) (/.f32 x (-.f32 #s(literal 0 binary32) (/.f32 s (/.f32 x s)))))
(/.f32 (*.f32 (neg.f32 s) (-.f32 #s(literal 0 binary32) (*.f32 s s))) (*.f32 (neg.f32 x) (neg.f32 x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32)) (*.f32 x x))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) x)) (neg.f32 x))
(/.f32 (*.f32 (/.f32 s x) (*.f32 s s)) x)
(/.f32 (*.f32 (/.f32 s x) #s(literal 1 binary32)) (/.f32 x (*.f32 s s)))
(/.f32 (*.f32 (/.f32 s x) (-.f32 #s(literal 0 binary32) (*.f32 s s))) (neg.f32 x))
(/.f32 (*.f32 (neg.f32 s) (/.f32 s (/.f32 x s))) (neg.f32 x))
(*.f32 s (/.f32 (/.f32 s x) (/.f32 x s)))
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 s (/.f32 x s))))
(*.f32 (/.f32 s x) (/.f32 s (/.f32 x s)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x (*.f32 s s))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 s (/.f32 x s)) (/.f32 s x))
(*.f32 (/.f32 (/.f32 s x) (/.f32 x s)) s)
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 s x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) x))
(neg.f32 (neg.f32 (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (*.f32 x x)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)))) #s(literal -1 binary32))
(/.f32 s (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 x (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)))))
(/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (*.f32 x x)))
(/.f32 (/.f32 s (/.f32 x s)) (*.f32 x (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))))
(/.f32 (/.f32 (/.f32 s x) (/.f32 x s)) (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x (/.f32 s (/.f32 x s))))))
(/.f32 (neg.f32 s) (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 x (/.f32 s (neg.f32 x)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (*.f32 (*.f32 x x) (+.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 0 binary32) (/.f32 s (/.f32 x s)))))))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x (/.f32 s (/.f32 x s)))) (+.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 0 binary32) (/.f32 s (/.f32 x s))))))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 s (/.f32 x s))) (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (neg.f32 x)))
(/.f32 (/.f32 s (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) (/.f32 x (/.f32 s x)))
(/.f32 (/.f32 (*.f32 s s) (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) (*.f32 x x))
(/.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 x (/.f32 s x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 1 binary32)) (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))) (neg.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 0 binary32) (/.f32 s (/.f32 x s))))))))
(/.f32 (neg.f32 (/.f32 (*.f32 s s) (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)))) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (*.f32 (/.f32 s (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) (/.f32 s x)) x)
(/.f32 (*.f32 (/.f32 s (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s) (*.f32 x x))
(/.f32 (*.f32 (/.f32 s (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) #s(literal 1 binary32)) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 s (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) (/.f32 s (neg.f32 x))) (neg.f32 x))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)))) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) x) x)
(*.f32 s (/.f32 s (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (*.f32 x x))))
(*.f32 (/.f32 s x) (/.f32 (/.f32 s x) (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))))
(*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (*.f32 x x))))
(*.f32 (*.f32 s s) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (*.f32 x x))))
(*.f32 (/.f32 (/.f32 s x) (/.f32 x s)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 0 binary32) (/.f32 s (/.f32 x s))))))))
(*.f32 (/.f32 s (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 s s))
(*.f32 (/.f32 (*.f32 s s) (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (*.f32 x x))) s)
(*.f32 (/.f32 s (*.f32 x (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)))) (/.f32 s x))
(*.f32 (*.f32 (/.f32 s (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) (/.f32 s x)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (/.f32 (/.f32 s x) (/.f32 x s)) (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal -64 binary32))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x #s(literal -4 binary32)) (/.f32 s (/.f32 x s))))))
(*.f32 (/.f32 (/.f32 (/.f32 s x) (/.f32 x s)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32))) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s)))))

simplify426.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4068×*-lowering-*.f32
4068×*-lowering-*.f64
3146×+-lowering-+.f64
3146×+-lowering-+.f32
1358×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06198501
120727261
274917061
080017061
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)
(/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
1/4
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))
1/4
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
1/2
(+ 1/2 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))
(+ 1/2 (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (+ (* -1/64 (pow (fabs x) 4)) (* 1/256 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))))
1/2
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(/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (pow s 2)) (* -4 (/ (pow s 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2))) (+ (* -16 (/ (pow s 6) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4)))) (pow x 4))) (* -4 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -1 (/ (+ (* -16 (* (pow s 4) (- (* -8 (pow s 4)) (* -4 (pow s 4))))) (+ (* -4 (* (pow s 2) (- (* 16 (pow s 6)) (+ (* -16 (pow s 6)) (* -4 (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4))))))))) (* 64 (pow s 8)))) (pow x 6))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)))) (+ (* -16 (/ (pow s 6) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4)))) (pow x 4))) (* -4 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(/ (pow s 2) (pow x 2))
(/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (pow s 2)) (* -4 (/ (pow s 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2))) (+ (* -16 (/ (pow s 6) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4)))) (pow x 4))) (* -4 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(/ (- (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -1 (/ (+ (* -16 (* (pow s 4) (- (* -8 (pow s 4)) (* -4 (pow s 4))))) (+ (* -4 (* (pow s 2) (- (* 16 (pow s 6)) (+ (* -16 (pow s 6)) (* -4 (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4))))))))) (* 64 (pow s 8)))) (pow x 6))) (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)))) (+ (* -16 (/ (pow s 6) (pow x 4))) (+ (* -4 (/ (* (pow s 2) (- (* -8 (pow s 4)) (* -4 (pow s 4)))) (pow x 4))) (* -4 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(/ (pow s 2) (pow x 2))
(* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow s 2) (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
1/4
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(- (+ 1/4 (* -1/64 (/ (pow x 4) (pow s 4)))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))
(- (+ 1/4 (+ (* -1/4 (/ (* (pow x 2) (- (* -1/64 (pow x 4)) (* -1/32 (pow x 4)))) (pow s 6))) (* -1/64 (/ (pow x 4) (pow s 4))))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))
1/4
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(- (+ 1/4 (* -1/64 (/ (pow x 4) (pow s 4)))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))
(- (+ 1/4 (+ (* -1/4 (/ (* (pow x 2) (- (* -1/64 (pow x 4)) (* -1/32 (pow x 4)))) (pow s 6))) (* -1/64 (/ (pow x 4) (pow s 4))))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))
256
(+ 256 (* -16 (/ (pow x 4) (pow s 4))))
(+ 256 (* (pow x 4) (- (* 8 (/ (pow x 2) (pow s 6))) (* 16 (/ 1 (pow s 4))))))
(+ 256 (* (pow x 4) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow s 8))) (* 8 (/ 1 (pow s 6))))) (* 16 (/ 1 (pow s 4))))))
(* -1 (/ (pow x 8) (pow s 8)))
(* (pow x 8) (- (* 8 (/ 1 (* (pow s 6) (pow x 2)))) (/ 1 (pow s 8))))
(* (pow x 8) (- (/ 8 (* (pow s 6) (pow x 2))) (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4))))))
(* (pow x 8) (- (+ (* 256 (/ 1 (pow x 8))) (/ 8 (* (pow s 6) (pow x 2)))) (+ (* 16 (/ 1 (* (pow s 4) (pow x 4)))) (/ 1 (pow s 8)))))
(* -1 (/ (pow x 8) (pow s 8)))
(* (pow x 8) (- (* 8 (/ 1 (* (pow s 6) (pow x 2)))) (/ 1 (pow s 8))))
(* (pow x 8) (- (/ 8 (* (pow s 6) (pow x 2))) (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4))))))
(* (pow x 8) (- (+ (* 256 (/ 1 (pow x 8))) (/ 8 (* (pow s 6) (pow x 2)))) (+ (* 16 (/ 1 (* (pow s 4) (pow x 4)))) (/ 1 (pow s 8)))))
(* -1 (/ (pow x 8) (pow s 8)))
(/ (- (* 8 (* (pow s 2) (pow x 6))) (pow x 8)) (pow s 8))
(/ (- (* (pow s 2) (- (* -16 (* (pow s 2) (pow x 4))) (* -8 (pow x 6)))) (pow x 8)) (pow s 8))
(/ (- (* (pow s 2) (- (* (pow s 2) (- (* 256 (pow s 4)) (* 16 (pow x 4)))) (* -8 (pow x 6)))) (pow x 8)) (pow s 8))
256
(+ 256 (* -16 (/ (pow x 4) (pow s 4))))
(- (+ 256 (* 8 (/ (pow x 6) (pow s 6)))) (* 16 (/ (pow x 4) (pow s 4))))
(- (+ 256 (* -1 (/ (pow x 8) (pow s 8)))) (+ (* -8 (/ (pow x 6) (pow s 6))) (* 16 (/ (pow x 4) (pow s 4)))))
256
(+ 256 (* -16 (/ (pow x 4) (pow s 4))))
(- (+ 256 (* 8 (/ (pow x 6) (pow s 6)))) (* 16 (/ (pow x 4) (pow s 4))))
(- (+ 256 (* -1 (/ (pow x 8) (pow s 8)))) (+ (* -8 (/ (pow x 6) (pow s 6))) (* 16 (/ (pow x 4) (pow s 4)))))
(* 16 (/ (pow x 4) (pow s 4)))
(* (pow x 4) (+ (* -8 (/ (pow x 2) (pow s 6))) (* 16 (/ 1 (pow s 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (/ (pow x 2) (pow s 8)) (* 8 (/ 1 (pow s 6))))) (* 16 (/ 1 (pow s 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (/ (pow x 2) (pow s 8)) (* 8 (/ 1 (pow s 6))))) (* 16 (/ 1 (pow s 4)))))
(/ (pow x 8) (pow s 8))
(* (pow x 8) (- (/ 1 (pow s 8)) (* 8 (/ 1 (* (pow s 6) (pow x 2))))))
(* (pow x 8) (- (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4)))) (/ 8 (* (pow s 6) (pow x 2)))))
(* (pow x 8) (- (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4)))) (/ 8 (* (pow s 6) (pow x 2)))))
(/ (pow x 8) (pow s 8))
(* (pow x 8) (- (/ 1 (pow s 8)) (* 8 (/ 1 (* (pow s 6) (pow x 2))))))
(* (pow x 8) (- (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4)))) (/ 8 (* (pow s 6) (pow x 2)))))
(* (pow x 8) (- (+ (/ 1 (pow s 8)) (/ 16 (* (pow s 4) (pow x 4)))) (/ 8 (* (pow s 6) (pow x 2)))))
(/ (pow x 8) (pow s 8))
(/ (+ (* -8 (* (pow s 2) (pow x 6))) (pow x 8)) (pow s 8))
(/ (+ (* (pow s 2) (+ (* -8 (pow x 6)) (* 16 (* (pow s 2) (pow x 4))))) (pow x 8)) (pow s 8))
(/ (+ (* (pow s 2) (+ (* -8 (pow x 6)) (* 16 (* (pow s 2) (pow x 4))))) (pow x 8)) (pow s 8))
(* 16 (/ (pow x 4) (pow s 4)))
(/ (+ (* -8 (/ (pow x 6) (pow s 2))) (* 16 (pow x 4))) (pow s 4))
(/ (+ (* -8 (/ (pow x 6) (pow s 2))) (+ (* 16 (pow x 4)) (/ (pow x 8) (pow s 4)))) (pow s 4))
(/ (+ (* -8 (/ (pow x 6) (pow s 2))) (+ (* 16 (pow x 4)) (/ (pow x 8) (pow s 4)))) (pow s 4))
(* 16 (/ (pow x 4) (pow s 4)))
(/ (+ (* -8 (/ (pow x 6) (pow s 2))) (* 16 (pow x 4))) (pow s 4))
(/ (+ (* -8 (/ (pow x 6) (pow s 2))) (+ (* 16 (pow x 4)) (/ (pow x 8) (pow s 4)))) (pow s 4))
(/ (+ (* -8 (/ (pow x 6) (pow s 2))) (+ (* 16 (pow x 4)) (/ (pow x 8) (pow s 4)))) (pow s 4))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
1
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 2) x)
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 3) (pow x 2))
(/ (pow s 4) (pow x 4))
(* (pow s 4) (+ (* 4 (/ (pow s 2) (pow x 6))) (/ 1 (pow x 4))))
(* (pow s 4) (+ (* (pow s 2) (+ (* 16 (/ (pow s 2) (pow x 8))) (* 4 (/ 1 (pow x 6))))) (/ 1 (pow x 4))))
(* (pow s 4) (+ (* (pow s 2) (+ (* (pow s 2) (+ (* 64 (/ (pow s 2) (pow x 10))) (* 16 (/ 1 (pow x 8))))) (* 4 (/ 1 (pow x 6))))) (/ 1 (pow x 4))))
(* -1/4 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* (pow s 2) (- (* -1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* (pow s 2) (- (* -1/256 (/ (pow x 4) (pow s 6))) (+ (* 1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))))
(* -1/4 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* (pow s 2) (- (* -1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* (pow s 2) (- (* -1/256 (/ (pow x 4) (pow s 6))) (+ (* 1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))))
(* -1/4 (/ (pow s 2) (pow x 2)))
(/ (+ (* -1/4 (pow s 2)) (* -1/16 (pow x 2))) (pow x 2))
(/ (+ (* -1/4 (pow s 2)) (* (pow x 2) (- (* -1/64 (/ (pow x 2) (pow s 2))) 1/16))) (pow x 2))
(/ (+ (* -1/4 (pow s 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (pow s 4))) (* 1/64 (/ 1 (pow s 2))))) 1/16))) (pow x 2))
(/ (pow s 4) (pow x 4))
(/ (+ (* 4 (/ (pow s 6) (pow x 2))) (pow s 4)) (pow x 4))
(/ (- (+ (* 16 (/ (pow s 8) (pow x 4))) (pow s 4)) (* -4 (/ (pow s 6) (pow x 2)))) (pow x 4))
(/ (- (+ (* 64 (/ (pow s 10) (pow x 6))) (pow s 4)) (+ (* -16 (/ (pow s 8) (pow x 4))) (* -4 (/ (pow s 6) (pow x 2))))) (pow x 4))
(/ (pow s 4) (pow x 4))
(/ (+ (* 4 (/ (pow s 6) (pow x 2))) (pow s 4)) (pow x 4))
(/ (- (+ (* 16 (/ (pow s 8) (pow x 4))) (pow s 4)) (* -4 (/ (pow s 6) (pow x 2)))) (pow x 4))
(/ (- (+ (* 64 (/ (pow s 10) (pow x 6))) (pow s 4)) (+ (* -16 (/ (pow s 8) (pow x 4))) (* -4 (/ (pow s 6) (pow x 2))))) (pow x 4))
Outputs
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)
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(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)
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(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 2) x)
(/.f32 (*.f32 s s) x)
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 3) (pow x 2))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))
(/ (pow s 4) (pow x 4))
(/.f32 (pow.f32 s #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* (pow s 4) (+ (* 4 (/ (pow s 2) (pow x 6))) (/ 1 (pow x 4))))
(*.f32 (pow.f32 s #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 s s) #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32)))))
(* (pow s 4) (+ (* (pow s 2) (+ (* 16 (/ (pow s 2) (pow x 8))) (* 4 (/ 1 (pow x 6))))) (/ 1 (pow x 4))))
(*.f32 (pow.f32 s #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal 16 binary32)) (pow.f32 x #s(literal 8 binary32))) (/.f32 #s(literal 4 binary32) (pow.f32 x #s(literal 6 binary32)))))))
(* (pow s 4) (+ (* (pow s 2) (+ (* (pow s 2) (+ (* 64 (/ (pow s 2) (pow x 10))) (* 16 (/ 1 (pow x 8))))) (* 4 (/ 1 (pow x 6))))) (/ 1 (pow x 4))))
(*.f32 (pow.f32 s #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 4 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal 64 binary32)) (pow.f32 x #s(literal 10 binary32))) (/.f32 #s(literal 16 binary32) (pow.f32 x #s(literal 8 binary32)))))))))
(* -1/4 (/ (pow s 2) (pow x 2)))
(/.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 x x))
(* -1 (* (pow s 2) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 s s)) (neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(* (pow s 2) (- (* -1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(*.f32 (*.f32 s s) (-.f32 (/.f32 (*.f32 #s(literal -1/64 binary32) (*.f32 x x)) (pow.f32 s #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(* (pow s 2) (- (* -1/256 (/ (pow x 4) (pow s 6))) (+ (* 1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))))
(*.f32 (*.f32 s s) (-.f32 (/.f32 (*.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 s #s(literal 6 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/64 binary32)) (pow.f32 s #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
(* -1/4 (/ (pow s 2) (pow x 2)))
(/.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 x x))
(* -1 (* (pow s 2) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 s s)) (neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(* (pow s 2) (- (* -1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(*.f32 (*.f32 s s) (-.f32 (/.f32 (*.f32 #s(literal -1/64 binary32) (*.f32 x x)) (pow.f32 s #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(* (pow s 2) (- (* -1/256 (/ (pow x 4) (pow s 6))) (+ (* 1/64 (/ (pow x 2) (pow s 4))) (+ (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))))
(*.f32 (*.f32 s s) (-.f32 (/.f32 (*.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 s #s(literal 6 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/64 binary32)) (pow.f32 s #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
(* -1/4 (/ (pow s 2) (pow x 2)))
(/.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 x x))
(/ (+ (* -1/4 (pow s 2)) (* -1/16 (pow x 2))) (pow x 2))
(/.f32 (+.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x x))
(/ (+ (* -1/4 (pow s 2)) (* (pow x 2) (- (* -1/64 (/ (pow x 2) (pow s 2))) 1/16))) (pow x 2))
(/.f32 (+.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 #s(literal -1/64 binary32) (*.f32 x x)) (*.f32 s s))))) (*.f32 x x))
(/ (+ (* -1/4 (pow s 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (pow s 4))) (* 1/64 (/ 1 (pow s 2))))) 1/16))) (pow x 2))
(/.f32 (+.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 x (*.f32 x (+.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/256 binary32)) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/64 binary32) (*.f32 s s)))))))) (*.f32 x x))
(/ (pow s 4) (pow x 4))
(/.f32 (pow.f32 s #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32)))
(/ (+ (* 4 (/ (pow s 6) (pow x 2))) (pow s 4)) (pow x 4))
(/.f32 (+.f32 (pow.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 4 binary32) (pow.f32 s #s(literal 6 binary32))) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))
(/ (- (+ (* 16 (/ (pow s 8) (pow x 4))) (pow s 4)) (* -4 (/ (pow s 6) (pow x 2)))) (pow x 4))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 4 binary32) (pow.f32 s #s(literal 6 binary32))) (*.f32 x x)) (+.f32 (pow.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 16 binary32) (pow.f32 s #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 x #s(literal 4 binary32)))
(/ (- (+ (* 64 (/ (pow s 10) (pow x 6))) (pow s 4)) (+ (* -16 (/ (pow s 8) (pow x 4))) (* -4 (/ (pow s 6) (pow x 2))))) (pow x 4))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 64 binary32) (pow.f32 s #s(literal 10 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.f32 (-.f32 (pow.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal -16 binary32) (pow.f32 s #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 s #s(literal 6 binary32))) (*.f32 x x)))) (pow.f32 x #s(literal 4 binary32)))
(/ (pow s 4) (pow x 4))
(/.f32 (pow.f32 s #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32)))
(/ (+ (* 4 (/ (pow s 6) (pow x 2))) (pow s 4)) (pow x 4))
(/.f32 (+.f32 (pow.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 4 binary32) (pow.f32 s #s(literal 6 binary32))) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))
(/ (- (+ (* 16 (/ (pow s 8) (pow x 4))) (pow s 4)) (* -4 (/ (pow s 6) (pow x 2)))) (pow x 4))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 4 binary32) (pow.f32 s #s(literal 6 binary32))) (*.f32 x x)) (+.f32 (pow.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 16 binary32) (pow.f32 s #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 x #s(literal 4 binary32)))
(/ (- (+ (* 64 (/ (pow s 10) (pow x 6))) (pow s 4)) (+ (* -16 (/ (pow s 8) (pow x 4))) (* -4 (/ (pow s 6) (pow x 2))))) (pow x 4))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 64 binary32) (pow.f32 s #s(literal 10 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.f32 (-.f32 (pow.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal -16 binary32) (pow.f32 s #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 s #s(literal 6 binary32))) (*.f32 x x)))) (pow.f32 x #s(literal 4 binary32)))

eval287.0ms (1.9%)

Compiler

Compiled 124860 to 5735 computations (95.4% saved)

prune416.0ms (2.8%)

Pruning

52 alts after pruning (44 fresh and 8 done)

PrunedKeptTotal
New2145202165
Fresh132437
Picked235
Done055
Total2160522212
Accuracy
99.6%
Counts
2212 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (pow.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) s)
✓99.4%
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
63.2%
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
41.5%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
33.6%
(/.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal 4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
26.0%
(/.f32 (/.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) s)
15.8%
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 x x)))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
14.7%
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
22.0%
(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s)))))) s)
21.5%
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal -64 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x #s(literal -4 binary32)) (/.f32 s (/.f32 x s))))))) s)
30.5%
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s))) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
57.9%
(/.f32 (/.f32 (+.f32 (*.f32 s s) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) s)
59.4%
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
99.3%
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
✓41.5%
(/.f32 (/.f32 s x) x)
80.6%
(/.f32 (/.f32 #s(literal 256 binary32) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
15.9%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x)) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
61.4%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
41.7%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
80.1%
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s)
83.3%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) s)
77.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x x))) s) #s(literal 4 binary32))) s)
76.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 4 binary32))) s)
✓77.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
77.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s)) (/.f32 s (neg.f32 x))) #s(literal 4 binary32))) s)
✓79.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
79.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 2 binary32))) s)
78.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))) s)
✓77.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
78.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s)
✓99.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
65.3%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) s)
41.7%
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
83.4%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
87.6%
(/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
14.3%
(/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) #s(literal -1/24 binary32))) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s)))))) s)
38.9%
(/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -4 binary32))) (*.f32 x x))) (*.f32 x x))
20.8%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
41.5%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
99.3%
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 #s(literal 2 binary32) s))
✓41.2%
(/.f32 s (*.f32 x x))
42.4%
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
24.7%
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 16 binary32)) (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal 64 binary32)))))
99.4%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
83.3%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
✓26.4%
(/.f32 #s(literal 1/4 binary32) s)
41.5%
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
83.4%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))) (/.f32 #s(literal 1 binary32) s))
80.1%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s))))) (/.f32 #s(literal 1 binary32) s))
41.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
22.0%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s)))))
41.1%
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
Compiler

Compiled 3507 to 1116 computations (68.2% saved)

regimes155.0ms (1%)

Counts
84 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) (/.f32 s x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s)
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 2 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x x))) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (*.f32 x x))) (neg.f32 s)) #s(literal 4 binary32))) s)
(/.f32 (+.f32 s (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -4 binary32))) (*.f32 x x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s)) (/.f32 s (neg.f32 x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) s)
(/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal 4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s))) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s)))))) s)
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 16 binary32)) (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal 64 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (*.f32 (/.f32 s x) s)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 256 binary32) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s s)))) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s))))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s)))))
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal -64 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x #s(literal -4 binary32)) (/.f32 s (/.f32 x s))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 x x)))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))))) #s(literal -4096 binary32))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal -64 binary32))) s)
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (/.f32 (+.f32 (*.f32 s s) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) #s(literal -1 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x)) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
(/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) #s(literal -1/24 binary32))) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s)))))) s)
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 #s(literal 2 binary32) s))
(exp.f32 (neg.f32 (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))))
(/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
(exp.f32 (*.f32 (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s)
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
(*.f32 (exp.f32 (neg.f32 (log.f32 s))) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) s)
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 s)) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))))
(/.f32 (pow.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) s)
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(exp.f32 (*.f32 (-.f32 (log.f32 (+.f32 (*.f32 #s(literal 8 binary32) (*.f32 s (*.f32 s s))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 3 binary32)))) (log.f32 (+.f32 (*.f32 (*.f32 s s) #s(literal 4 binary32)) (*.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) (*.f32 #s(literal 2 binary32) s)))))) #s(literal -1 binary32)))
(/.f32 (/.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) s)
Outputs
(/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
Calls

5 calls:

37.0ms
x
23.0ms
(fabs.f32 x)
23.0ms
(neg.f32 (fabs.f32 x))
22.0ms
s
19.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1s
99.4%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.4%1(neg.f32 (fabs.f32 x))
99.4%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes80.0ms (0.5%)

Counts
70 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) (/.f32 s x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s)
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 2 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x x))) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (*.f32 x x))) (neg.f32 s)) #s(literal 4 binary32))) s)
(/.f32 (+.f32 s (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -4 binary32))) (*.f32 x x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s)) (/.f32 s (neg.f32 x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) s)
(/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal 4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s))) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s)))))) s)
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 16 binary32)) (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal 64 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (*.f32 (/.f32 s x) s)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 256 binary32) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s s)))) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s))))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s)))))
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal -64 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x #s(literal -4 binary32)) (/.f32 s (/.f32 x s))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 x x)))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))))) #s(literal -4096 binary32))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal -64 binary32))) s)
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (/.f32 (+.f32 (*.f32 s s) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) #s(literal -1 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x)) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
(/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) #s(literal -1/24 binary32))) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s)))))) s)
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 #s(literal 2 binary32) s))
(exp.f32 (neg.f32 (log.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))))
Outputs
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
Calls

3 calls:

27.0ms
(fabs.f32 x)
20.0ms
x
19.0ms
s
Results
AccuracySegmentsBranch
99.4%1x
99.4%1s
99.4%1(fabs.f32 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes70.0ms (0.5%)

Counts
66 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) (/.f32 s x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s)
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 2 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x x))) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (*.f32 x x))) (neg.f32 s)) #s(literal 4 binary32))) s)
(/.f32 (+.f32 s (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -4 binary32))) (*.f32 x x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s)) (/.f32 s (neg.f32 x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) s)
(/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal 4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s))) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s)))))) s)
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 16 binary32)) (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal 64 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (*.f32 (/.f32 s x) s)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 256 binary32) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s s)))) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s))))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s)))))
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal -64 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x #s(literal -4 binary32)) (/.f32 s (/.f32 x s))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 x x)))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))))) #s(literal -4096 binary32))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal -64 binary32))) s)
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (/.f32 (+.f32 (*.f32 s s) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) #s(literal -1 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x)) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s)))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
Calls

3 calls:

20.0ms
s
18.0ms
x
18.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1s
99.4%1(fabs.f32 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes44.0ms (0.3%)

Counts
64 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) (/.f32 s x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s)
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 2 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x x))) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (*.f32 x x))) (neg.f32 s)) #s(literal 4 binary32))) s)
(/.f32 (+.f32 s (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -4 binary32))) (*.f32 x x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s)) (/.f32 s (neg.f32 x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) s)
(/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal 4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s))) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s)))))) s)
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 16 binary32)) (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal 64 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (*.f32 (/.f32 s x) s)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 256 binary32) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s s)))) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s))))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)))) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 4 binary32))) (*.f32 s s)))))
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal -64 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x #s(literal -4 binary32)) (/.f32 s (/.f32 x s))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 x x)))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 (-.f32 #s(literal 256 binary32) (/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 (*.f32 s s) (*.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (*.f32 x x))))) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (*.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))))) #s(literal -4096 binary32))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal -64 binary32))) s)
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (/.f32 (+.f32 (*.f32 s s) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) #s(literal -1 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x)) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
Outputs
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s)
(/.f32 (/.f32 #s(literal 256 binary32) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
Calls

2 calls:

19.0ms
s
17.0ms
x
Results
AccuracySegmentsBranch
91.4%2x
87.6%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts
50 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) (/.f32 s x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s)
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 2 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x x))) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (*.f32 x x))) (neg.f32 s)) #s(literal 4 binary32))) s)
(/.f32 (+.f32 s (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -4 binary32))) (*.f32 x x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s)) (/.f32 s (neg.f32 x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) s)
(/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal 4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)))) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32))) s)
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s))) #s(literal -4 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))) (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32))) s)
(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (*.f32 (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))) #s(literal -16 binary32)) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s)))))) s)
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32)) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 16 binary32)) (+.f32 (/.f32 x (/.f32 (/.f32 s (/.f32 x s)) (/.f32 (/.f32 (/.f32 x (/.f32 s x)) (*.f32 s s)) (/.f32 s (*.f32 x x))))) #s(literal 64 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (*.f32 (/.f32 s x) s)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (*.f32 (/.f32 s (*.f32 x x)) s)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (*.f32 (*.f32 s (/.f32 (/.f32 (*.f32 s s) x) x)) (/.f32 s (*.f32 x x)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
Outputs
(/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
Calls

2 calls:

15.0ms
s
14.0ms
x
Results
AccuracySegmentsBranch
87.6%1s
87.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts
37 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) (/.f32 s x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s)
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 s (/.f32 x s))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 x (/.f32 (*.f32 s s) x)))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 2 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x x))) s) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (*.f32 x x))) (neg.f32 s)) #s(literal 4 binary32))) s)
(/.f32 (+.f32 s (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -4 binary32))) (*.f32 x x))) (*.f32 x x))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s)) (/.f32 s (neg.f32 x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) s)
Outputs
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
Calls

2 calls:

12.0ms
s
10.0ms
x
Results
AccuracySegmentsBranch
83.4%1x
83.4%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) s)
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
Calls

2 calls:

6.0ms
s
5.0ms
x
Results
AccuracySegmentsBranch
83.3%1x
83.3%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
Outputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
Calls

2 calls:

6.0ms
s
4.0ms
x
Results
AccuracySegmentsBranch
76.9%2x
67.5%2s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)
Outputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
75.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) s) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x s)) x)
(*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)))
Outputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
Calls

2 calls:

19.0ms
s
3.0ms
x
Results
AccuracySegmentsBranch
46.4%2s
62.2%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
Outputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
61.3%2x
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
(/.f32 #s(literal 1/4 binary32) s)
Outputs
(/.f32 #s(literal 1/4 binary32) s)
Calls

2 calls:

1.0ms
x
1.0ms
s
Results
AccuracySegmentsBranch
26.4%1s
26.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.1088628836265489e-23
7.436237081655491e-23
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
7.436237081655491e-23
1.3781753423896615e-22
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
7.436237081655491e-23
1.3781753423896615e-22
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.105643372691702e-6
2.031023905146867e-5
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.105643372691702e-6
2.031023905146867e-5
Compiler

Compiled 33 to 15 computations (54.5% saved)

simplify27.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
38×+-commutative_binary32
34×*-commutative_binary32
28×sub-neg_binary32
24×neg-sub0_binary32
24×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078216
198216
2110216
3126216
4147216
5166216
6179216
7184216
8185216
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(if (<=.f32 x #s(literal 6338253/316912650057057350374175801344 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s) (/.f32 (/.f32 #s(literal 256 binary32) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s))
(/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
(if (<=.f32 x #s(literal 15845633/158456325028528675187087900672 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s))
(if (<=.f32 x #s(literal 15845633/158456325028528675187087900672 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s))
(if (<=.f32 x #s(literal 2748779/549755813888 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x))))
(if (<=.f32 x #s(literal 2748779/549755813888 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) s)
Outputs
(/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(if (<=.f32 x #s(literal 6338253/316912650057057350374175801344 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s) (/.f32 (/.f32 #s(literal 256 binary32) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))) s))
(if (<=.f32 x #s(literal 6338253/316912650057057350374175801344 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 x (/.f32 s (/.f32 x s))) #s(literal -4 binary32))) s) (/.f32 (/.f32 #s(literal 256 binary32) (*.f32 (+.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (/.f32 x (/.f32 s x)))) #s(literal 64 binary32)) (-.f32 #s(literal 16 binary32) (/.f32 (+.f32 #s(literal -4 binary32) (/.f32 x (/.f32 (*.f32 s s) x))) (/.f32 s (/.f32 x (/.f32 s x))))))) s))
(/.f32 (/.f32 #s(literal -4 binary32) (+.f32 (/.f32 (/.f32 (/.f32 x (/.f32 (*.f32 s s) x)) (/.f32 s x)) (/.f32 s x)) #s(literal -16 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 x (/.f32 (*.f32 s s) x)) #s(literal 4 binary32))))
(if (<=.f32 x #s(literal 15845633/158456325028528675187087900672 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s))
(if (<=.f32 x #s(literal 15845633/158456325028528675187087900672 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (*.f32 s s) (*.f32 x x)) s))
(if (<=.f32 x #s(literal 2748779/549755813888 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x))))
(if (<=.f32 x #s(literal 2748779/549755813888 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) s)

soundness3.1s (20.7%)

Rules
4920×*-lowering-*.f32
4920×*-lowering-*.f64
4740×*-lowering-*.f32
4740×*-lowering-*.f64
4068×*-lowering-*.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
053358
1374201
24049197
08083197
01126
13718
211318
327818
461918
5111618
6192417
7377916
8696416
0852416
06198501
120727261
274917061
080017061
04218275
114047058
254286734
081056734
05069251
116977391
269827126
083007126
030160
1161154
21051154
08556154
047299
1289209
22602205
08866205
020112
1134100
2103188
0865488
03243055
110612681
242952473
090752473
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×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 626 to 341 computations (45.5% saved)

preprocess82.0ms (0.6%)

Remove

(abs x)

Compiler

Compiled 556 to 224 computations (59.7% saved)

end0.0ms (0%)

Profiling

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