Logistic distribution

Time bar (total: 11.9s)

analyze78.0ms (0.7%)

Algorithm
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: 51.0ms
...c/correct-round.rkt:119:19: 21.0ms (41.5% of total)
ival-mult: 7.0ms (13.8% of total)
ival-div: 5.0ms (9.9% of total)
ival-<=: 5.0ms (9.9% of total)
ival-add: 3.0ms (5.9% of total)
ival-exp: 3.0ms (5.9% of total)
ival-fabs: 3.0ms (5.9% of total)
ival-neg: 2.0ms (4% of total)
ival-and: 1.0ms (2% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (11.1%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 761.0ms
...c/correct-round.rkt:119:19: 139.0ms (18.3% of total)
ival-div: 138.0ms (18.1% of total)
ival-mult: 131.0ms (17.2% of total)
ival-<=: 86.0ms (11.3% of total)
ival-fabs: 78.0ms (10.3% of total)
ival-exp: 65.0ms (8.5% of total)
ival-add: 54.0ms (7.1% of total)
ival-neg: 43.0ms (5.7% of total)
const: 12.0ms (1.6% of total)
ival-and: 11.0ms (1.4% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess242.0ms (2%)

Algorithm
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
1147154
2487146
31631144
45544144
01126
13726
211225
327725
461624
5111218
6191917
7377816
8694916
0850316
Stop Event
iter limit
node limit
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) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
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))) (* (+ 1 (exp (/ (fabs x) (neg s)))) (fma s (exp (/ (fabs x) (neg s))) 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))) (* (+ 1 (exp (/ (fabs x) (neg s)))) (fma s (exp (/ (fabs x) (neg s))) 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)) (* (+ 1 (exp (/ (fabs x) s))) (fnmsub s (exp (/ (fabs x) s)) 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))) (* (+ 1 (exp (/ (fabs x) (neg s)))) (fnmsub s (exp (/ (fabs x) (neg s))) 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)) (* (+ 1 (exp (/ (fabs x) s))) (fma s (exp (/ (fabs x) s)) s)))
(/ (exp (/ (neg (fabs s)) x)) (* (* x (+ 1 (exp (/ (neg (fabs s)) x)))) (+ 1 (exp (/ (neg (fabs s)) x)))))
(/ (exp (/ (fabs s) (neg x))) (* (+ 1 (exp (/ (fabs s) (neg x)))) (fma x (exp (/ (fabs s) (neg x))) x)))
Symmetry

(abs x)

explain106.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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
03(0.014575119130313396 6.361449777614325e-5)0-(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Results
60.0ms512×0valid
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 (28.9% of total)
ival-mult: 8.0ms (25.7% 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
99.5%
(/.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))))
99.5%
(/.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)))))
Compiler

Compiled 48 to 24 computations (50% saved)

simplify176.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))
cost-diff0
(fabs.f32 x)
cost-diff0
(/.f32 (fabs.f32 x) s)
cost-diff0
(/.f32 #s(literal 1 binary32) s)
cost-diff0
(fabs.f32 x)
cost-diff0
(neg.f32 (fabs.f32 x))
cost-diff32
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
cost-diff6560
(/.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
2260×fma-define
1998×fma-lowering-fma.f32
1998×fma-lowering-fma.f64
1940×*-lowering-*.f32
1940×*-lowering-*.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
020157
159152
2155152
3368152
4868149
51791133
63188133
75405133
08170133
Stop Event
iter limit
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 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))
(/ 1 s)
1
s
(+ (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
(+ (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 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(exp (/ (neg (fabs x)) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(/ (neg (fabs x)) s)
(-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))
(neg (fabs x))
(neg.f32 (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 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) #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 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
1
#s(literal 1 binary32)
s
(+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))
(+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(neg (/ (fabs x) s))
(-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
(+ (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)

localize82.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))
accuracy99.9%
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy99.9%
(exp.f32 (/.f32 (fabs.f32 x) s))
accuracy99.6%
(/.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))))
accuracy99.9%
(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)))
accuracy99.9%
(*.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))))
accuracy99.6%
(/.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
54.0ms256×0valid
Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 13.0ms (39.3% of total)
ival-add: 6.0ms (18.1% of total)
ival-exp: 5.0ms (15.1% of total)
ival-mult: 3.0ms (9.1% of total)
ival-neg: 3.0ms (9.1% of total)
ival-fabs: 2.0ms (6% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series37.0ms (0.3%)

Counts
13 → 276
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 (neg (fabs x))>
#<alt (fabs x)>
#<alt (/ 1 s)>
#<alt (/ (fabs x) s)>
#<alt (+ (exp (/ (fabs x) s)) 2)>
#<alt (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))>
#<alt (+ 1 (exp (/ (neg (fabs x)) s)))>
#<alt (exp (/ (neg (fabs x)) s))>
#<alt (/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (neg (/ (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 (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (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)>
#<alt (fabs x)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (/ (fabs x) s)>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt (+ 2 (exp (/ (fabs x) s)))>
#<alt 3>
#<alt (+ 3 (/ (fabs x) s))>
#<alt (+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))>
#<alt (+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))>
#<alt 3>
#<alt (+ 3 (/ (fabs x) s))>
#<alt (+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* 4 s)>
#<alt (* s (+ 4 (* -4 (/ (fabs x) s))))>
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))>
#<alt (* 4 s)>
#<alt (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<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 (* -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 (* 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 (* 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 (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)))>
#<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)))>
Calls

69 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
4.0ms
x
@-inf
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))
3.0ms
x
@0
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))
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)))))

rewrite329.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
3812×/-lowering-/.f32
3812×/-lowering-/.f64
3396×*-lowering-*.f32
3396×*-lowering-*.f64
2022×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020115
113499
2102495
0864295
Stop Event
iter limit
node limit
Counts
13 → 434
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))))
(neg (fabs x))
(fabs x)
(/ 1 s)
(/ (fabs x) s)
(+ (exp (/ (fabs x) s)) 2)
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
(+ 1 (exp (/ (neg (fabs x)) s)))
(exp (/ (neg (fabs x)) s))
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))
(exp (/ (fabs x) s))
(exp (neg (/ (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 s (*.f32 (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 #s(literal -1 binary32) (*.f32 s (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 s (*.f32 (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))))) #s(literal -1 binary32)))
(+.f32 (*.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) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) #s(literal 1 binary32)) (*.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) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(+.f32 (*.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) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) (*.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) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) #s(literal 1 binary32)))
(+.f32 (*.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) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))))) #s(literal 1 binary32)) (*.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) (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) s)))))
(pow.f32 (*.f32 s (*.f32 (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)))) #s(literal -1 binary32))
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(*.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal -2 binary32)))) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal -2 binary32)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.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) (/.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))))) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.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(literal 1 binary32)) (/.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))))) s))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal -2 binary32)))) s) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal -2 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal -2 binary32)))) #s(literal 1 binary32)) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal -2 binary32)) s))
(*.f32 (pow.f32 (*.f32 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 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1/2 binary32)))
(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 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (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 (pow.f32 (exp.f32 (fabs.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (fabs.f32 x)) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(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))))
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (fabs.f32 x) 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 (fabs.f32 x)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) (neg.f32 s)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) (neg.f32 s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #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) s))))
(*.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))))

simplify276.0ms (2.3%)

Algorithm
egg-herbie
Rules
3216×*-lowering-*.f32
3216×*-lowering-*.f64
2086×+-lowering-+.f64
2086×+-lowering-+.f32
1704×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03223146
110622800
240472727
082862727
Stop Event
iter limit
node limit
Counts
276 → 276
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)))))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
(+ 2 (exp (/ (fabs x) s)))
3
(+ 3 (/ (fabs x) s))
(+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))
(+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))
3
(+ 3 (/ (fabs x) s))
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* 4 s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ 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 (* -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 (* 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 (* 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))))))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
1
(+ 1 (/ (fabs x) s))
(+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))
(+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))
1
(+ 1 (/ (fabs x) s))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
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 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.f32 s s))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/.f32 (+.f32 (+.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 s s)) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/24 binary32)) s)))) (-.f32 (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x)))) (*.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 x x)) #s(literal -5/48 binary32)) (*.f32 s (*.f32 s s)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/.f32 (+.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 s s)) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/24 binary32)) 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 (+.f32 (*.f32 (+.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -5/48 binary32))) (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))))) (/.f32 (fabs.f32 x) (pow.f32 s #s(literal 4 binary32)))) (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))) (+.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 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (pow.f32 s #s(literal 4 binary32))))) (/.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -5/48 binary32)) (*.f32 s (*.f32 s s))))))) 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))
(neg.f32 (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.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))) (* 1/24 (/ (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) (*.f32 s s)) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/24 binary32)) s)) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.f32 s s))) (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 5/48 binary32) (*.f32 s s)) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s))))) (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x)))) (*.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))
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(-.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) #s(literal -1/2 binary32))) 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 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s)) s))

eval132.0ms (1.1%)

Compiler

Compiled 32307 to 2680 computations (91.7% saved)

prune105.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New109681104
Fresh000
Picked112
Done000
Total109791106
Accuracy
99.6%
Counts
1106 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))
99.5%
(/.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))))
27.0%
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s)) s)
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
27.1%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (/.f32 (+.f32 (*.f32 s (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
94.9%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
99.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
27.6%
(/.f32 #s(literal 1/4 binary32) s)
Compiler

Compiled 310 to 199 computations (35.8% saved)

simplify447.0ms (3.8%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f32 (*.f32 s (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
cost-diff6720
(/.f32 (+.f32 (*.f32 s (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s)))
cost-diff6752
(*.f32 (/.f32 (+.f32 (*.f32 s (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
cost-diff19840
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (/.f32 (+.f32 (*.f32 s (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
cost-diff0
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
cost-diff64
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
cost-diff64
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
cost-diff0
(fabs.f32 x)
cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff32
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
cost-diff0
(/.f32 #s(literal 1/4 binary32) s)
cost-diff96
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
cost-diff96
(+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
cost-diff6592
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
cost-diff6656
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))
Rules
2152×*-lowering-*.f32
2152×*-lowering-*.f64
1286×fma-lowering-fma.f32
1286×fma-lowering-fma.f64
1116×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037307
198282
2238282
3687244
42618242
56222242
08069242
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2)))
(/ 1 s)
1
s
(+ (exp (neg (/ (fabs x) s))) (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2))
(exp (neg (/ (fabs x) s)))
(neg (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
(+ (/ 1 (exp (/ (fabs x) (neg s)))) 2)
(/ 1 (exp (/ (fabs x) (neg s))))
(exp (/ (fabs x) (neg s)))
(/ (fabs x) (neg s))
(neg s)
2
(/ 1/4 s)
1/4
s
(/ (exp (/ (neg (fabs x)) s)) (* s 4))
(exp (/ (neg (fabs x)) s))
(/ (neg (fabs x)) s)
(neg (fabs x))
(fabs x)
x
s
(* s 4)
4
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))
1
(+ 2 (* 2 (cosh (/ (fabs x) s))))
2
(* 2 (cosh (/ (fabs x) s)))
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
(/ (exp (/ (neg (fabs x)) s)) (* (/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 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 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s))) (+ 1 (exp (/ (neg (fabs x)) s))))
(/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s)))
(+ (* s (/ 1 s)) (exp (/ (fabs x) s)))
(* s (/ 1 s))
(/ 1 s)
1
(exp (/ (fabs x) s))
(/ (fabs x) s)
(* (exp (/ (fabs x) s)) (/ 1 s))
(+ 1 (exp (/ (neg (fabs x)) s)))
Outputs
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
1
#s(literal 1 binary32)
s
(+ (exp (neg (/ (fabs x) s))) (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(exp (neg (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(neg (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
(+ (/ 1 (exp (/ (fabs x) (neg s)))) 2)
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/ 1 (exp (/ (fabs x) (neg s))))
(exp.f32 (/.f32 (fabs.f32 x) s))
(exp (/ (fabs x) (neg s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/ (fabs x) (neg s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(neg s)
(neg.f32 s)
2
#s(literal 2 binary32)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
(/ (exp (/ (neg (fabs x)) s)) (* s 4))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(exp (/ (neg (fabs x)) s))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/ (neg (fabs x)) s)
(/.f32 (fabs.f32 x) (neg.f32 s))
(neg (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
s
(* s 4)
(*.f32 s #s(literal 4 binary32))
4
#s(literal 4 binary32)
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 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
(/ (exp (/ (neg (fabs x)) s)) (* (/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp (/ (neg (fabs x)) s))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/ (neg (fabs x)) s)
(/.f32 (fabs.f32 x) (neg.f32 s))
(neg (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
s
(* (/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s))) (+ 1 (exp (/ (neg (fabs x)) s))))
(/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s))
(/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s)))
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ (* s (/ 1 s)) (exp (/ (fabs x) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(* s (/ 1 s))
#s(literal 1 binary32)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
1
#s(literal 1 binary32)
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(* (exp (/ (fabs x) s)) (/ 1 s))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(+ 1 (exp (/ (neg (fabs x)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))

localize175.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s))
accuracy99.8%
(*.f32 s (/.f32 #s(literal 1 binary32) s))
accuracy99.6%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (/.f32 (+.f32 (*.f32 s (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
accuracy90.0%
(/.f32 (+.f32 (*.f32 s (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s)))
accuracy100.0%
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
accuracy99.9%
(cosh.f32 (/.f32 (fabs.f32 x) s))
accuracy99.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
accuracy100.0%
(neg.f32 (fabs.f32 x))
accuracy100.0%
(fabs.f32 x)
accuracy99.9%
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy99.6%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
accuracy100.0%
(/.f32 #s(literal 1/4 binary32) s)
accuracy99.9%
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
accuracy99.9%
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy99.9%
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
accuracy99.6%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))
Results
77.0ms160×0unsamplable
41.0ms96×0valid
Compiler

Compiled 340 to 38 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-exp: 30.0ms (38.4% of total)
ival-div: 23.0ms (29.4% of total)
ival-mult: 8.0ms (10.2% of total)
ival-add: 6.0ms (7.7% of total)
ival-cosh: 4.0ms (5.1% of total)
ival-neg: 4.0ms (5.1% of total)
ival-fabs: 2.0ms (2.6% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series81.0ms (0.7%)

Counts
23 → 504
Calls
Call 1
Inputs
#<alt (/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2)))>
#<alt (+ (exp (neg (/ (fabs x) s))) (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2))>
#<alt (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2)>
#<alt (/ 1 (exp (/ (fabs x) (neg s))))>
#<alt (/ 1/4 s)>
#<alt (/ (exp (/ (neg (fabs x)) s)) (* s 4))>
#<alt (exp (/ (neg (fabs x)) s))>
#<alt (/ (neg (fabs x)) s)>
#<alt (fabs x)>
#<alt (/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)>
#<alt (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))>
#<alt (+ 2 (* 2 (cosh (/ (fabs x) s))))>
#<alt (* 2 (cosh (/ (fabs x) s)))>
#<alt (/ (exp (/ (neg (fabs x)) s)) (* (/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s))) (+ 1 (exp (/ (neg (fabs x)) s)))))>
#<alt (* (/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s))) (+ 1 (exp (/ (neg (fabs x)) s))))>
#<alt (/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s)))>
#<alt (+ (* s (/ 1 s)) (exp (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (/ (fabs x) (neg s)))>
#<alt (neg (fabs x))>
#<alt (cosh (/ (fabs x) s))>
#<alt (* s (/ 1 s))>
#<alt (* (exp (/ (fabs x) s)) (/ 1 s))>
Outputs
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (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 (/ (+ (* 1/2 (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)))) s)>
#<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)))))))))) (* -1/64 (pow (fabs x) 4))) (pow s 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))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* 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) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -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))) s)) (* -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) s))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
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#<alt 1/4>
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#<alt 1/4>
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#<alt 4>
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#<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 (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))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<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 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ (exp (/ (fabs x) s)) s)>
#<alt (/ 1 s)>
#<alt (/ (+ 1 (/ (fabs x) s)) s)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) s)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) s)>
#<alt (/ 1 s)>
#<alt (* -1 (/ (- (* -1 (/ (fabs x) s)) 1) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s))>
Calls

126 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)
8.0ms
x
@inf
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))
3.0ms
s
@0
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2)))
2.0ms
x
@-inf
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)
2.0ms
s
@inf
(/ (exp (/ (neg (fabs x)) s)) (* (/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s))) (+ 1 (exp (/ (neg (fabs x)) s)))))

rewrite418.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
4932×*-lowering-*.f32
4932×*-lowering-*.f64
4894×/-lowering-/.f32
4894×/-lowering-/.f64
1978×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037234
1247195
21895195
09113195
Stop Event
iter limit
node limit
Counts
23 → 1069
Calls
Call 1
Inputs
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2)))
(+ (exp (neg (/ (fabs x) s))) (+ (/ 1 (exp (/ (fabs x) (neg s)))) 2))
(+ (/ 1 (exp (/ (fabs x) (neg s)))) 2)
(/ 1 (exp (/ (fabs x) (neg s))))
(/ 1/4 s)
(/ (exp (/ (neg (fabs x)) s)) (* s 4))
(exp (/ (neg (fabs x)) s))
(/ (neg (fabs x)) s)
(fabs x)
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(* 2 (cosh (/ (fabs x) s)))
(/ (exp (/ (neg (fabs x)) s)) (* (/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(* (/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s))) (+ 1 (exp (/ (neg (fabs x)) s))))
(/ (+ (* s (/ 1 s)) (exp (/ (fabs x) s))) (* (exp (/ (fabs x) s)) (/ 1 s)))
(+ (* s (/ 1 s)) (exp (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (/ (fabs x) (neg s)))
(neg (fabs x))
(cosh (/ (fabs x) s))
(* s (/ 1 s))
(* (exp (/ (fabs x) s)) (/ 1 s))
Outputs
(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 (*.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)))
(exp.f32 (+.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)) (*.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 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)) (*.f32 (log.f32 s) #s(literal -1 binary32))))
(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 (*.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s)) #s(literal -1 binary32))
(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 0 binary32) 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 0 binary32) (neg.f32 (+.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 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 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 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (neg.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (neg.f32 (+.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 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s)))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.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 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s))))
(/.f32 #s(literal -1 binary32) (neg.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))))
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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 (/.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)) (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 (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(literal -1 binary32))) s)
(/.f32 (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(literal 1 binary32))) (neg.f32 s))
(*.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) 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) 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(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) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.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 #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) 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) 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(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 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(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) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))
(*.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)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (-.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32))))))))
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(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))))))
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(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (expm1.f32 (/.f32 (fabs.f32 x) s)))))
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(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (expm1.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (expm1.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32))) (neg.f32 (expm1.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (expm1.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (fabs.f32 x))) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (fabs.f32 x) 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 (fabs.f32 x)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 (fabs.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.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) (neg.f32 s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) (fabs.f32 x))
(pow.f32 (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(-.f32 #s(literal 0 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) #s(literal -1 binary32)) (pow.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (fabs.f32 x))) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (fabs.f32 x) 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 (fabs.f32 x)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 (fabs.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.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) (neg.f32 s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) (fabs.f32 x))
(pow.f32 (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(-.f32 #s(literal 0 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) #s(literal -1 binary32)) (pow.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(neg.f32 (fabs.f32 x))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) (fabs.f32 x))))) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) (fabs.f32 x))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (+.f32 #s(literal 0 binary32) (fabs.f32 x))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (fabs.f32 x) (*.f32 x x))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) (fabs.f32 x)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) (fabs.f32 x)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (fabs.f32 x) (*.f32 x x)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) (fabs.f32 x))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 (+.f32 #s(literal 0 binary32) (fabs.f32 x))))
(*.f32 (fabs.f32 x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (fabs.f32 x))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(cosh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(+.f32 (*.f32 (cosh.f32 #s(literal 0 binary32)) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (sinh.f32 #s(literal 0 binary32)) (sinh.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 (cosh.f32 #s(literal 0 binary32)) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (sinh.f32 #s(literal 0 binary32)) (sinh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))
(-.f32 (*.f32 (cosh.f32 #s(literal 0 binary32)) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (sinh.f32 #s(literal 0 binary32)) (sinh.f32 (/.f32 (fabs.f32 x) s))))
(-.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 0 binary32) s)) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (sinh.f32 (/.f32 #s(literal 0 binary32) s)) (sinh.f32 (/.f32 (fabs.f32 x) s))))
(-.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 0 binary32) s)) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (sinh.f32 (/.f32 #s(literal 0 binary32) s)) (sinh.f32 (/.f32 (fabs.f32 x) (neg.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 (*.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 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 (neg.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
#s(literal 1 binary32)
(exp.f32 (+.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
(exp.f32 (+.f32 (/.f32 (fabs.f32 x) s) (*.f32 (log.f32 s) #s(literal -1 binary32))))
(pow.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) #s(literal 1 binary32))
(pow.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s))
(/.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))) s)
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)))
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(*.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (/.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) s))
(*.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) s) (/.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) #s(literal -1 binary32)) (/.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32))) (neg.f32 s)))

simplify373.0ms (3.1%)

Algorithm
egg-herbie
Rules
4046×+-lowering-+.f64
4046×+-lowering-+.f32
3150×*-lowering-*.f32
3150×*-lowering-*.f64
1336×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06298059
122316549
096876549
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
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(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))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* 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)))))
1
1
1
1
1
1
1
1
1
1
1
1
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/ 1 s)
(/ (+ 1 (/ (fabs x) s)) s)
(/ (+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) s)
(/ (+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) s)
(/ 1 s)
(* -1 (/ (- (* -1 (/ (fabs x) s)) 1) s))
(* -1 (/ (- (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s))
(* -1 (/ (- (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s))
Outputs
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (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)
(/ (- (+ 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)))) s)
(/.f32 (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (fabs.f32 x) (*.f32 x x))) (*.f32 #s(literal 1/32 binary32) (*.f32 (fabs.f32 x) (*.f32 x x)))) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
(/ (- (+ 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)))))))))) (* -1/64 (pow (fabs x) 4))) (pow s 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))))) s)
(/.f32 (-.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/16 binary32) (+.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))))) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/64 binary32))) (pow.f32 s #s(literal 4 binary32)))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)) (/.f32 (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (fabs.f32 x) (*.f32 x x))) (*.f32 #s(literal 1/32 binary32) (*.f32 (fabs.f32 x) (*.f32 x x)))) (*.f32 s (*.f32 s s))))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(* -1 (/ (- (+ (* 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) s))
(/.f32 (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (fabs.f32 x) (*.f32 x x))) (*.f32 #s(literal 1/32 binary32) (*.f32 (fabs.f32 x) (*.f32 x x)))) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)) #s(literal -1/4 binary32))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (+ (* -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))) s)) (* -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) s))
(/.f32 (+.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (fabs.f32 x) (*.f32 x x))) (*.f32 #s(literal 1/32 binary32) (*.f32 (fabs.f32 x) (*.f32 x x)))) (/.f32 (+.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/64 binary32)) (*.f32 #s(literal -1/16 binary32) (-.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) (+.f32 (*.f32 (*.f32 (fabs.f32 x) #s(literal -1/3 binary32)) (*.f32 (fabs.f32 x) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))))) s)) (*.f32 s (*.f32 s s)))) #s(literal -1/4 binary32)) (neg.f32 s))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 2 (+ (exp (neg (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
4
#s(literal 4 binary32)
(+ 4 (/ (pow (fabs x) 2) (pow s 2)))
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
(- (+ 4 (* -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))))
(+.f32 #s(literal 4 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.f32 s (*.f32 s s)))))
(- (+ 4 (* -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))))))))) (pow s 4)))) (+ (* -1 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 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)))))
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4
#s(literal 4 binary32)
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3
#s(literal 3 binary32)
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3
#s(literal 3 binary32)
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(/ 1 (exp (* -1 (/ (fabs x) s))))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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#s(literal 2 binary32)
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(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)))
(/ (* (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)))
(/ (* (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)))
(/ (* (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)))
(/ (* (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)))
(/ (* (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)))
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(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s))) (* 1/16 (/ (+ (* -2 (fabs x)) (* 2 (fabs x))) s))) s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (+ (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/4 (/ (+ (* -1 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))) (+ (* 1/16 (/ (+ (* -2 (fabs x)) (* 2 (fabs x))) s)) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (pow (fabs x) 2))) (pow s 2))) (* 1/4 (/ (* (+ (* -2 (fabs x)) (* 2 (fabs x))) (- (* 1/4 (+ (fabs x) (* -1 (fabs x)))) (* 1/16 (+ (* -2 (fabs x)) (* 2 (fabs x)))))) (pow s 2)))))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
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(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) (+ 1/4 (* 1/16 (/ (+ (* -2 (fabs x)) (* 2 (fabs x))) s)))) s))
(/.f32 #s(literal 1/4 binary32) s)
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(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ 1 (exp (/ (fabs x) s))))) (exp (/ (fabs x) s)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ 1 (exp (/ (fabs x) s))))) (exp (/ (fabs x) s)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ 1 (exp (/ (fabs x) s))))) (exp (/ (fabs x) s)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ 1 (exp (/ (fabs x) s))))) (exp (/ (fabs x) s)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* s (- (+ 4 (+ (* -2 (/ (fabs x) s)) (* 2 (/ (fabs x) s)))) (* 4 (/ (fabs x) s))))
(*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -4 binary32)) s)))
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(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* -1 (* s (- (+ (* -2 (/ (fabs x) s)) (* 2 (/ (fabs x) s))) (+ 4 (* -4 (/ (fabs x) s))))))
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -4 binary32)) s)) (neg.f32 s))
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(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
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(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
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(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
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(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
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(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
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(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
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(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.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 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.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 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.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 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.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 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.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 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.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 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.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 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.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 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.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 (*.f32 x x) #s(literal 1/2 binary32)) (*.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 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fabs.f32 x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.f32 s (*.f32 s 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 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) (+.f32 (*.f32 (*.f32 (fabs.f32 x) #s(literal -1/3 binary32)) (*.f32 (fabs.f32 x) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.f32 s (*.f32 s s))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.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 (*.f32 x x) #s(literal 1/2 binary32)) (*.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 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.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 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fabs.f32 x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))))) s)) (*.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ (exp (/ (fabs x) s)) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
(/ (+ 1 (/ (fabs x) s)) s)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) s)
(/ (+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) s)
(/.f32 (+.f32 (/.f32 (fabs.f32 x) s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))) s)
(/ (+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) s)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))) s)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
(* -1 (/ (- (* -1 (/ (fabs x) s)) 1) s))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) s)
(* -1 (/ (- (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s))
(/.f32 (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s)) (neg.f32 s)) #s(literal -1 binary32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s))
(/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)) #s(literal -1 binary32)) (neg.f32 s))

eval172.0ms (1.4%)

Compiler

Compiled 61471 to 4475 computations (92.7% saved)

prune270.0ms (2.3%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New2049132062
Fresh123
Picked145
Done101
Total2052192071
Accuracy
99.7%
Counts
2071 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.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)
77.5%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #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)))))))) s)
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
77.5%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))
94.9%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
94.9%
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
21.9%
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
27.1%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
94.9%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
94.9%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)))
99.5%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)))
99.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
27.6%
(/.f32 #s(literal 1/4 binary32) s)
95.0%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32)))) (/.f32 #s(literal 1/4 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32)))))
25.9%
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
Compiler

Compiled 587 to 390 computations (33.6% saved)

simplify181.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32))
cost-diff6496
(+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
cost-diff6560
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))
cost-diff6560
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
cost-diff0
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
cost-diff0
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
cost-diff32
(/.f32 #s(literal 4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s))
cost-diff96
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)))
cost-diff0
(/.f32 s #s(literal 1/4 binary32))
cost-diff0
(log.f32 (/.f32 s #s(literal 1/4 binary32)))
cost-diff32
(*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))
cost-diff6464
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
cost-diff0
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
cost-diff0
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))
cost-diff0
(-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))
cost-diff0
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
cost-diff0
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
cost-diff0
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
Rules
2112×*-lowering-*.f32
2112×*-lowering-*.f64
1814×fma-lowering-fma.f32
1814×fma-lowering-fma.f64
1408×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036241
189235
2209230
3539222
41207222
52500222
63985222
76733222
08113222
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))))
1
(* 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
(/ (- 1/4 (/ (* (* x x) 1/16) (* s s))) s)
(- 1/4 (/ (* (* x x) 1/16) (* s s)))
1/4
(/ (* (* x x) 1/16) (* s s))
(* (* x x) 1/16)
(* x x)
x
1/16
(* s s)
s
(exp (* (log (/ s 1/4)) -1))
(* (log (/ s 1/4)) -1)
(log (/ s 1/4))
(/ s 1/4)
s
1/4
-1
(/ 1 (/ 4 (/ (exp (/ (fabs x) (neg s))) s)))
1
(/ 4 (/ (exp (/ (fabs x) (neg s))) s))
4
(/ (exp (/ (fabs x) (neg s))) s)
(exp (/ (fabs x) (neg s)))
(/ (fabs x) (neg s))
(fabs x)
x
(neg s)
s
(/ (/ 1 (+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s)))) s)
(/ 1 (+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s))))
1
(+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s)))
(+ (exp (/ (fabs x) (neg s))) 2)
(exp (/ (fabs x) (neg s)))
(/ (fabs x) (neg s))
(fabs x)
x
(neg s)
s
2
(exp (/ (fabs x) s))
(/ (fabs x) s)
Outputs
(/ 1 (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 s (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
1
#s(literal 1 binary32)
(* 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
(/ (- 1/4 (/ (* (* x x) 1/16) (* s s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)
(- 1/4 (/ (* (* x x) 1/16) (* s s)))
(+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32)))
1/4
#s(literal 1/4 binary32)
(/ (* (* x x) 1/16) (* s s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/16 binary32))) (*.f32 s s))
(* (* x x) 1/16)
(*.f32 x (*.f32 x #s(literal 1/16 binary32)))
(* x x)
(*.f32 x x)
x
1/16
#s(literal 1/16 binary32)
(* s s)
(*.f32 s s)
s
(exp (* (log (/ s 1/4)) -1))
(/.f32 #s(literal 1/4 binary32) s)
(* (log (/ s 1/4)) -1)
(neg.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))))
(log (/ s 1/4))
(log.f32 (/.f32 s #s(literal 1/4 binary32)))
(/ s 1/4)
(/.f32 s #s(literal 1/4 binary32))
s
1/4
#s(literal 1/4 binary32)
-1
#s(literal -1 binary32)
(/ 1 (/ 4 (/ (exp (/ (fabs x) (neg s))) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
1
#s(literal 1 binary32)
(/ 4 (/ (exp (/ (fabs x) (neg s))) s))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 s #s(literal 1/4 binary32)))
4
#s(literal 4 binary32)
(/ (exp (/ (fabs x) (neg s))) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
(exp (/ (fabs x) (neg s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/ (fabs x) (neg s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(fabs x)
(fabs.f32 x)
x
(neg s)
(neg.f32 s)
s
(/ (/ 1 (+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s)))) s)
(/.f32 #s(literal 1/2 binary32) (*.f32 s (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s))))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)
(+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s)))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(+ (exp (/ (fabs x) (neg s))) 2)
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(exp (/ (fabs x) (neg s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/ (fabs x) (neg s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(fabs x)
(fabs.f32 x)
x
(neg s)
(neg.f32 s)
s
2
#s(literal 2 binary32)
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)

localize168.0ms (1.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))
accuracy99.9%
(exp.f32 (/.f32 (fabs.f32 x) s))
accuracy99.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
accuracy99.9%
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
accuracy99.9%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)))
accuracy99.8%
(/.f32 #s(literal 4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s))
accuracy99.6%
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
accuracy100.0%
(/.f32 s #s(literal 1/4 binary32))
accuracy100.0%
(*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))
accuracy100.0%
(log.f32 (/.f32 s #s(literal 1/4 binary32)))
accuracy96.7%
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
accuracy100.0%
(*.f32 s s)
accuracy100.0%
(-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))
accuracy99.9%
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
accuracy80.9%
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))
accuracy100.0%
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
accuracy100.0%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
accuracy99.9%
(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)))))
Results
62.0ms160×0unsamplable
46.0ms96×0valid
Compiler

Compiled 262 to 37 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div: 24.0ms (35.8% of total)
ival-exp: 12.0ms (17.9% of total)
ival-mult: 10.0ms (14.9% of total)
ival-add: 7.0ms (10.4% of total)
ival-cosh: 4.0ms (6% of total)
ival-log: 4.0ms (6% of total)
ival-fabs: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series118.0ms (1%)

Counts
23 → 480
Calls
Call 1
Inputs
#<alt (/ 1 (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))))>
#<alt (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))>
#<alt (+ 2 (* 2 (cosh (/ (fabs x) s))))>
#<alt (* 2 (cosh (/ (fabs x) s)))>
#<alt (/ (- 1/4 (/ (* (* x x) 1/16) (* s s))) s)>
#<alt (- 1/4 (/ (* (* x x) 1/16) (* s s)))>
#<alt (/ (* (* x x) 1/16) (* s s))>
#<alt (* (* x x) 1/16)>
#<alt (exp (* (log (/ s 1/4)) -1))>
#<alt (* (log (/ s 1/4)) -1)>
#<alt (log (/ s 1/4))>
#<alt (/ s 1/4)>
#<alt (/ 1 (/ 4 (/ (exp (/ (fabs x) (neg s))) s)))>
#<alt (/ 4 (/ (exp (/ (fabs x) (neg s))) s))>
#<alt (/ (exp (/ (fabs x) (neg s))) s)>
#<alt (exp (/ (fabs x) (neg s)))>
#<alt (/ (/ 1 (+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s)))) s)>
#<alt (/ 1 (+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s))))>
#<alt (+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s)))>
#<alt (+ (exp (/ (fabs x) (neg s))) 2)>
#<alt (cosh (/ (fabs x) s))>
#<alt (* s s)>
#<alt (exp (/ (fabs x) s))>
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 (/ 1/4 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 (* 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 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 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 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (* s (+ 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 (+ 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 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt 2>
#<alt (+ 2 (/ (pow (fabs x) 2) (pow s 2)))>
#<alt (+ 2 (+ (* -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 (+ 2 (+ (* -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 2>
#<alt (+ 2 (/ (pow (fabs x) 2) (pow s 2)))>
#<alt (+ 2 (+ (* 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 (+ 2 (+ (* -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 (/ 1/4 s)>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))>
#<alt (* -1/16 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* -1/16 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))>
#<alt (* -1/16 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))>
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))>
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))>
#<alt (/ 1/4 s)>
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#<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 (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 2 (exp (* -1 (/ (fabs x) s))))>
#<alt 3>
#<alt (+ 3 (* -1 (/ (fabs x) s)))>
#<alt (+ 3 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 3 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 3>
#<alt (+ 3 (* -1 (/ (fabs x) s)))>
#<alt (+ 3 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 3 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) 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>
#<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 s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (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

120 calls:

TimeVariablePointExpression
38.0ms
s
@0
(* (log (/ s 1/4)) -1)
23.0ms
s
@0
(/ 4 (/ (exp (/ (fabs x) (neg s))) s))
14.0ms
s
@-inf
(* (log (/ s 1/4)) -1)
8.0ms
s
@inf
(* (log (/ s 1/4)) -1)
7.0ms
s
@-inf
(/ 4 (/ (exp (/ (fabs x) (neg s))) s))

rewrite456.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
4364×*-lowering-*.f32
4364×*-lowering-*.f64
4076×/-lowering-/.f32
4076×/-lowering-/.f64
1884×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036185
1211172
21566167
08406167
Stop Event
iter limit
node limit
Counts
23 → 813
Calls
Call 1
Inputs
(/ 1 (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))))
(* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(* 2 (cosh (/ (fabs x) s)))
(/ (- 1/4 (/ (* (* x x) 1/16) (* s s))) s)
(- 1/4 (/ (* (* x x) 1/16) (* s s)))
(/ (* (* x x) 1/16) (* s s))
(* (* x x) 1/16)
(exp (* (log (/ s 1/4)) -1))
(* (log (/ s 1/4)) -1)
(log (/ s 1/4))
(/ s 1/4)
(/ 1 (/ 4 (/ (exp (/ (fabs x) (neg s))) s)))
(/ 4 (/ (exp (/ (fabs x) (neg s))) s))
(/ (exp (/ (fabs x) (neg s))) s)
(exp (/ (fabs x) (neg s)))
(/ (/ 1 (+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s)))) s)
(/ 1 (+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s))))
(+ (+ (exp (/ (fabs x) (neg s))) 2) (exp (/ (fabs x) s)))
(+ (exp (/ (fabs x) (neg s))) 2)
(cosh (/ (fabs x) s))
(* s s)
(exp (/ (fabs 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))))) s))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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)))
(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 (neg.f32 (neg.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 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (*.f32 s (+.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 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (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)))))) #s(literal -1/2 binary32))
(pow.f32 (exp.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 (/.f32 #s(literal 0 binary32) (neg.f32 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))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.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 #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) (neg.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.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 (/.f32 #s(literal 1 binary32) (+.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 #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) (neg.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 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (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(literal 1 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.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 #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(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 #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 #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) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 #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 #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 (/.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) 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(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 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 (+.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) (+.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) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 2 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))))))
(*.f32 (/.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 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.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 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)))))
(*.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)) (/.f32 #s(literal -1 binary32) s))
(*.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)) #s(literal 1 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 (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 -1 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)) (neg.f32 s)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) #s(literal 1 binary32)) (/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 2 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))) s))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) #s(literal -1 binary32)) (/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 2 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))) (neg.f32 s)))
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(/.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) (-.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(*.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) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(*.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))))
(*.f32 (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 2 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))))
(*.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 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.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) (sinh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(*.f32 (/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 2 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))) #s(literal 1 binary32)) (/.f32 (+.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) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))) #s(literal 2 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))))
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))) (+.f32 #s(literal 8 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal -4 binary32))) #s(literal -1 binary32))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32))) (/.f32 #s(literal 4 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32))))
(-.f32 (/.f32 #s(literal 4 binary32) (-.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))) (+.f32 #s(literal 8 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal -4 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))) (+.f32 #s(literal 8 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal -4 binary32)))))
(/.f32 (+.f32 #s(literal 8 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32)))) (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))
(/.f32 (+.f32 #s(literal 8 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal -4 binary32)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32))))) (neg.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))))
(/.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal -4 binary32))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32))))
(/.f32 (-.f32 #s(literal 4 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32)))) (-.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32)) #s(literal 4 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal -4 binary32)))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))
(*.f32 (+.f32 #s(literal 8 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) #s(literal 2 binary32))) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -2 binary32))))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))
(pow.f32 (/.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) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.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 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 (neg.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 s) #s(literal 2 binary32)))
(pow.f32 s #s(literal 2 binary32))
(pow.f32 (*.f32 s s) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 s s))
(*.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 s) #s(literal 2 binary32)))
(*.f32 s s)
(*.f32 (neg.f32 s) (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 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (fabs.f32 x)) (neg.f32 (/.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 0 binary32) (fabs.f32 x))) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))

simplify269.0ms (2.3%)

Algorithm
egg-herbie
Rules
2654×*-lowering-*.f32
2654×*-lowering-*.f64
2522×+-lowering-+.f64
2522×+-lowering-+.f32
1708×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05036120
116865504
264755466
082375466
Stop Event
iter limit
node limit
Counts
480 → 480
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)))))))
(/ 1/4 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 (* 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)))))))
(* 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)
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(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (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 (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(/ 1 (+ 2 (+ (exp (* -1 (/ (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 (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))
(+ 2 (+ (exp (* -1 (/ (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)))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
3
(+ 3 (* -1 (/ (fabs x) s)))
(+ 3 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 3 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
3
(+ 3 (* -1 (/ (fabs x) s)))
(+ 3 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 3 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) 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
(+ 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 s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(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
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 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)
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/16 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x x) (*.f32 s s))))) 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)
(/.f32 (+.f32 (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/16 binary32) (-.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.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 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/3 binary32))))))) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/64 binary32))) (pow.f32 s #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal 1/16 binary32) (-.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) 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))
(/.f32 (+.f32 (*.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))) #s(literal -1/4 binary32)) (neg.f32 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))
(/.f32 (+.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)) (/.f32 (-.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/32 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/16 binary32)))) (/.f32 (+.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/64 binary32)) (*.f32 #s(literal -1/16 binary32) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))))))) s)) (*.f32 s (*.f32 s s)))) #s(literal -1/4 binary32)) (neg.f32 s))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.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))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
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4
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(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 2 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
3
#s(literal 3 binary32)
(+ 3 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 3 binary32) (/.f32 (fabs.f32 x) s))
(+ 3 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (-.f32 #s(literal 3 binary32) (/.f32 (fabs.f32 x) s)))
(+ 3 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (-.f32 #s(literal 3 binary32) (/.f32 (fabs.f32 x) s))) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
3
#s(literal 3 binary32)
(+ 3 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 3 binary32) (/.f32 (fabs.f32 x) s))
(+ 3 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 3 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s))
(+ 3 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s)) 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 (*.f32 x x) #s(literal 1/2 binary32)) (*.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 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) (*.f32 s (*.f32 s 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 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.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 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.f32 s (*.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 (*.f32 x x) #s(literal 1/2 binary32)) (*.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 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.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 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.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 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))))) s)) (*.f32 s (*.f32 s s)))))
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 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 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 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 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))
(+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)
(+ 1 (/ (fabs x) s))
(+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 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 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) s))) s))

eval139.0ms (1.2%)

Compiler

Compiled 29961 to 3050 computations (89.8% saved)

prune136.0ms (1.1%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1318101328
Fresh6410
Picked505
Done134
Total1330171347
Accuracy
99.7%
Counts
1347 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.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)
74.5%
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) s)
77.5%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
96.0%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 3 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))
94.9%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
20.5%
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) s) (*.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))) (*.f32 s s))
27.1%
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
2.5%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 s #s(literal 2 binary32))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))))))
77.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
73.1%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
45.8%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))))
99.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
27.6%
(/.f32 #s(literal 1/4 binary32) s)
93.6%
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) (log.f32 (/.f32 s #s(literal 1/4 binary32)))))
Compiler

Compiled 543 to 357 computations (34.3% saved)

simplify180.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 s (fabs.f32 x))
cost-diff32
(/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))
cost-diff32
(-.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) (log.f32 (/.f32 s #s(literal 1/4 binary32))))
cost-diff3264
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) (log.f32 (/.f32 s #s(literal 1/4 binary32)))))
cost-diff0
(/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s)
cost-diff0
(+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))
cost-diff64
(*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s)))
cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
cost-diff64
(neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s))
cost-diff96
(-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))
cost-diff96
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s)))
cost-diff160
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) 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-diff64
(*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
cost-diff32
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))
cost-diff32
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))
cost-diff32
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))
cost-diff96
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
Rules
2222×fnmadd-define
1828×*-lowering-*.f32
1828×*-lowering-*.f64
1346×--lowering--.f32
1346×--lowering--.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
041328
1114316
2266308
3601299
41510294
54755293
08033293
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))))
1
(* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x)))))))
s
(+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))
2
(* 2 (cosh (/ -1 (/ s (fabs x)))))
(cosh (/ -1 (/ s (fabs x))))
(/ -1 (/ s (fabs x)))
-1
(/ s (fabs x))
(fabs x)
x
(/ 1 (* s (+ (/ (* x x) (* s s)) 4)))
1
(* s (+ (/ (* x x) (* s s)) 4))
s
(+ (/ (* x x) (* s s)) 4)
(/ (* x x) (* s s))
(* x x)
x
(* s s)
4
(/ (/ 1 (- 4 (/ (neg (/ (+ (* x x) 0) s)) s))) s)
(/ 1 (- 4 (/ (neg (/ (+ (* x x) 0) s)) s)))
1
(- 4 (/ (neg (/ (+ (* x x) 0) s)) s))
4
(/ (neg (/ (+ (* x x) 0) s)) s)
(neg (/ (+ (* x x) 0) s))
(/ (+ (* x x) 0) s)
(+ (* x x) 0)
(* x x)
x
0
s
(/ 1 (* s (+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s))))
1
(* s (+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s)))
s
(+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s))
4
(/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s)
(+ (* (fabs x) 4) (* 2 (/ (* x x) s)))
(* (fabs x) 4)
(fabs x)
x
(* 2 (/ (* x x) s))
2
(/ (* x x) s)
(* x x)
(exp (- (/ -1 (/ s (fabs x))) (log (/ s 1/4))))
(- (/ -1 (/ s (fabs x))) (log (/ s 1/4)))
(/ -1 (/ s (fabs x)))
-1
(/ s (fabs x))
s
(fabs x)
x
(log (/ s 1/4))
(/ s 1/4)
1/4
Outputs
(/ 1 (* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) s)
1
#s(literal 1 binary32)
(* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x)))))))
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
s
(+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
2
#s(literal 2 binary32)
(* 2 (cosh (/ -1 (/ s (fabs x)))))
(*.f32 #s(literal 2 binary32) (cosh.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(cosh (/ -1 (/ s (fabs x))))
(cosh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/ -1 (/ s (fabs x)))
(neg.f32 (/.f32 (fabs.f32 x) s))
-1
#s(literal -1 binary32)
(/ s (fabs x))
(/.f32 s (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(/ 1 (* s (+ (/ (* x x) (* s s)) 4)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/4 binary32))))
1
#s(literal 1 binary32)
(* s (+ (/ (* x x) (* s s)) 4))
(+.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/4 binary32)))
s
(+ (/ (* x x) (* s s)) 4)
(+.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 4 binary32))
(/ (* x x) (* s s))
(*.f32 x (/.f32 (/.f32 x s) s))
(* x x)
(*.f32 x x)
x
(* s s)
(*.f32 s s)
4
#s(literal 4 binary32)
(/ (/ 1 (- 4 (/ (neg (/ (+ (* x x) 0) s)) s))) s)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/4 binary32))))
(/ 1 (- 4 (/ (neg (/ (+ (* x x) 0) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 4 binary32)))
1
#s(literal 1 binary32)
(- 4 (/ (neg (/ (+ (* x x) 0) s)) s))
(+.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 4 binary32))
4
#s(literal 4 binary32)
(/ (neg (/ (+ (* x x) 0) s)) s)
(-.f32 #s(literal 0 binary32) (*.f32 x (/.f32 (/.f32 x s) s)))
(neg (/ (+ (* x x) 0) s))
(/.f32 (*.f32 x x) (neg.f32 s))
(/ (+ (* x x) 0) s)
(/.f32 (*.f32 x x) s)
(+ (* x x) 0)
(*.f32 x x)
(* x x)
(*.f32 x x)
x
0
#s(literal 0 binary32)
s
(/ 1 (* s (+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) s)) (/.f32 s #s(literal 1/4 binary32))))
1
#s(literal 1 binary32)
(* s (+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s)))
(+.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) s)) (/.f32 s #s(literal 1/4 binary32)))
s
(+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s))
(+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) s)) s))
4
#s(literal 4 binary32)
(/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s)
(/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) s)) s)
(+ (* (fabs x) 4) (* 2 (/ (* x x) s)))
(+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) s))
(* (fabs x) 4)
(*.f32 (fabs.f32 x) #s(literal 4 binary32))
(fabs x)
(fabs.f32 x)
x
(* 2 (/ (* x x) s))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) s)
2
#s(literal 2 binary32)
(/ (* x x) s)
(/.f32 (*.f32 x x) s)
(* x x)
(*.f32 x x)
(exp (- (/ -1 (/ s (fabs x))) (log (/ s 1/4))))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(- (/ -1 (/ s (fabs x))) (log (/ s 1/4)))
(neg.f32 (+.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) (/.f32 (fabs.f32 x) s)))
(/ -1 (/ s (fabs x)))
(neg.f32 (/.f32 (fabs.f32 x) s))
-1
#s(literal -1 binary32)
(/ s (fabs x))
(/.f32 s (fabs.f32 x))
s
(fabs x)
(fabs.f32 x)
x
(log (/ s 1/4))
(log.f32 (/.f32 s #s(literal 1/4 binary32)))
(/ s 1/4)
(/.f32 s #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)

localize170.0ms (1.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f32 (/.f32 s #s(literal 1/4 binary32)))
accuracy99.8%
(-.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) (log.f32 (/.f32 s #s(literal 1/4 binary32))))
accuracy99.3%
(/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))
accuracy97.7%
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) (log.f32 (/.f32 s #s(literal 1/4 binary32)))))
accuracy99.8%
(/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s)
accuracy97.6%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
accuracy90.3%
(/.f32 (*.f32 x x) s)
accuracy86.0%
(*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s)))
accuracy97.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s)))
accuracy93.4%
(/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s)
accuracy90.3%
(/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)
accuracy87.6%
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) s)
accuracy100.0%
(*.f32 s s)
accuracy97.6%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
accuracy86.8%
(*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
accuracy74.0%
(/.f32 (*.f32 x x) (*.f32 s s))
accuracy100.0%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
accuracy99.9%
(cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))
accuracy99.6%
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))))))
accuracy99.3%
(/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))
Results
113.0ms256×0valid
Compiler

Compiled 357 to 42 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-div: 22.0ms (34.6% of total)
ival-mult: 14.0ms (22% of total)
ival-add: 8.0ms (12.6% of total)
ival-log: 7.0ms (11% of total)
ival-cosh: 4.0ms (6.3% of total)
ival-sub: 3.0ms (4.7% of total)
ival-exp: 2.0ms (3.1% of total)
ival-fabs: 2.0ms (3.1% of total)
const: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series63.0ms (0.5%)

Counts
26 → 600
Calls
Call 1
Inputs
#<alt (/ 1 (* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))))>
#<alt (* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x)))))))>
#<alt (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))>
#<alt (* 2 (cosh (/ -1 (/ s (fabs x)))))>
#<alt (/ 1 (* s (+ (/ (* x x) (* s s)) 4)))>
#<alt (* s (+ (/ (* x x) (* s s)) 4))>
#<alt (+ (/ (* x x) (* s s)) 4)>
#<alt (/ (* x x) (* s s))>
#<alt (/ (/ 1 (- 4 (/ (neg (/ (+ (* x x) 0) s)) s))) s)>
#<alt (/ 1 (- 4 (/ (neg (/ (+ (* x x) 0) s)) s)))>
#<alt (- 4 (/ (neg (/ (+ (* x x) 0) s)) s))>
#<alt (neg (/ (+ (* x x) 0) s))>
#<alt (/ 1 (* s (+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s))))>
#<alt (* s (+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s)))>
#<alt (+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s))>
#<alt (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s)>
#<alt (exp (- (/ -1 (/ s (fabs x))) (log (/ s 1/4))))>
#<alt (- (/ -1 (/ s (fabs x))) (log (/ s 1/4)))>
#<alt (/ -1 (/ s (fabs x)))>
#<alt (/ s (fabs x))>
#<alt (cosh (/ -1 (/ s (fabs x))))>
#<alt (* s s)>
#<alt (/ (+ (* x x) 0) s)>
#<alt (/ (neg (/ (+ (* x x) 0) s)) s)>
#<alt (/ (* x x) s)>
#<alt (log (/ s 1/4))>
Outputs
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (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 (/ (+ (* 1/2 (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)))) s)>
#<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)))))))))) (* -1/64 (pow (fabs x) 4))) (pow s 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))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* 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) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -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))) s)) (* -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) s))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* 4 s)>
#<alt (* s (+ 4 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (* s (+ 4 (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 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 (* s (+ 4 (+ (* -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))))))))) (pow s 4))) (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 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 s)>
#<alt (* -1 (* s (- (* -1 (/ (pow (fabs x) 2) (pow s 2))) 4)))>
#<alt (* -1 (* s (- (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))>
#<alt (* -1 (* s (- (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -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)))) s)) (* -1/2 (pow (fabs x) 3)))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))>
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#<alt 4>
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#<alt 4>
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#<alt 2>
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#<alt 2>
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#<alt (/ s (pow x 2))>
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#<alt (/ (pow x 2) s)>
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#<alt (* 4 s)>
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#<alt (* 4 s)>
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#<alt (* 4 s)>
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#<alt 4>
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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 (+ 4 (/ (pow x 2) (pow s 2)))>
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#<alt (/ 1/4 s)>
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#<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))>
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#<alt (/ s (pow x 2))>
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#<alt (/ 1/4 s)>
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#<alt 1/4>
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#<alt (/ (pow s 2) (pow x 2))>
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#<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))>
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#<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))))>
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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>
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#<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>
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#<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)))))>
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#<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)) (* -1 (pow x 2))) (pow s 2))>
#<alt (/ (- (* 4 (pow s 2)) (* -1 (pow x 2))) (pow s 2))>
#<alt (/ (- (* 4 (pow s 2)) (* -1 (pow x 2))) (pow s 2))>
#<alt 4>
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#<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 (* -1 (/ (pow x 2) s))>
#<alt (* -1 (/ (pow x 2) s))>
#<alt (* -1 (/ (pow x 2) s))>
#<alt (* -1 (/ (pow x 2) s))>
#<alt (* -1 (/ (pow x 2) s))>
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#<alt (* -1 (/ (pow x 2) s))>
#<alt (* -1 (/ (pow x 2) s))>
#<alt (* -1 (/ (pow x 2) s))>
#<alt (* -1 (/ (pow x 2) s))>
#<alt (* -1 (/ (pow x 2) s))>
#<alt (* 1/2 (/ s (pow x 2)))>
#<alt (* s (+ (* -1 (/ (* s (fabs x)) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* s (+ (* s (- (* -1 (* s (+ (* -2 (/ (pow (fabs x) 2) (pow x 6))) (/ 1 (pow x 4))))) (/ (fabs x) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* s (+ (* s (- (* s (- (* -1 (* s (+ (* -2 (/ (fabs x) (pow x 6))) (* -2 (/ (* (fabs x) (+ (* -2 (/ (pow (fabs x) 2) (pow x 6))) (/ 1 (pow x 4)))) (pow x 2)))))) (+ (* -2 (/ (pow (fabs x) 2) (pow x 6))) (/ 1 (pow x 4))))) (/ (fabs x) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/4 s)>
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#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/8 (pow x 2))))) (* -1/8 (* (pow x 2) (fabs x)))) (pow s 3)))) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (fabs x) s))))) s)>
#<alt (/ 1/4 s)>
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#<alt (+ (log 4) (log s))>
#<alt (+ (log 4) (log s))>
#<alt (+ (log 4) (log s))>
#<alt (+ (log 4) (log s))>
#<alt (+ (log 4) (* -1 (log (/ 1 s))))>
#<alt (+ (log 4) (* -1 (log (/ 1 s))))>
#<alt (+ (log 4) (* -1 (log (/ 1 s))))>
#<alt (+ (log 4) (* -1 (log (/ 1 s))))>
#<alt (+ (log -4) (* -1 (log (/ -1 s))))>
#<alt (+ (log -4) (* -1 (log (/ -1 s))))>
#<alt (+ (log -4) (* -1 (log (/ -1 s))))>
#<alt (+ (log -4) (* -1 (log (/ -1 s))))>
Calls

150 calls:

TimeVariablePointExpression
16.0ms
x
@0
(exp (- (/ -1 (/ s (fabs x))) (log (/ s 1/4))))
4.0ms
s
@0
(/ 1 (* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))))
3.0ms
x
@inf
(neg (/ (+ (* x x) 0) s))
2.0ms
x
@-inf
(/ 1 (* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))))
2.0ms
x
@inf
(/ 1 (* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))))

rewrite495.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
4850×*-lowering-*.f32
4850×*-lowering-*.f64
2992×/-lowering-/.f32
2992×/-lowering-/.f64
2416×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041252
1279223
22383212
09725212
Stop Event
iter limit
node limit
Counts
26 → 869
Calls
Call 1
Inputs
(/ 1 (* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))))
(* s (+ 2 (* 2 (cosh (/ -1 (/ s (fabs x)))))))
(+ 2 (* 2 (cosh (/ -1 (/ s (fabs x))))))
(* 2 (cosh (/ -1 (/ s (fabs x)))))
(/ 1 (* s (+ (/ (* x x) (* s s)) 4)))
(* s (+ (/ (* x x) (* s s)) 4))
(+ (/ (* x x) (* s s)) 4)
(/ (* x x) (* s s))
(/ (/ 1 (- 4 (/ (neg (/ (+ (* x x) 0) s)) s))) s)
(/ 1 (- 4 (/ (neg (/ (+ (* x x) 0) s)) s)))
(- 4 (/ (neg (/ (+ (* x x) 0) s)) s))
(neg (/ (+ (* x x) 0) s))
(/ 1 (* s (+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s))))
(* s (+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s)))
(+ 4 (/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s))
(/ (+ (* (fabs x) 4) (* 2 (/ (* x x) s))) s)
(exp (- (/ -1 (/ s (fabs x))) (log (/ s 1/4))))
(- (/ -1 (/ s (fabs x))) (log (/ s 1/4)))
(/ -1 (/ s (fabs x)))
(/ s (fabs x))
(cosh (/ -1 (/ s (fabs x))))
(* s s)
(/ (+ (* x x) 0) s)
(/ (neg (/ (+ (* x x) 0) s)) s)
(/ (* x x) s)
(log (/ s 1/4))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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)))
(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 (neg.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 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 1 binary32) s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (*.f32 s (+.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 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (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)))))) #s(literal -1/2 binary32))
(pow.f32 (exp.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 #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) (neg.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 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 #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 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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 (/.f32 #s(literal 1 binary32) 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(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s))))
(*.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) 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) s) (pow.f32 (/.f32 (+.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))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (pow.f32 (*.f32 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 (+.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 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.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 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)))))
(exp.f32 (neg.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 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))) (*.f32 s #s(literal 2 binary32)))
(+.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))))
(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 (/.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))
(fma.f32 s #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))))
(fma.f32 s (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) s (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))))
(fma.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) s) (*.f32 s #s(literal 2 binary32)))
(fma.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32)) (*.f32 s #s(literal 2 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s (*.f32 s #s(literal 2 binary32)))
(fma.f32 (*.f32 s #s(literal 2 binary32)) (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32)))
(fma.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32) (*.f32 s #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 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32))
(/.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s)) #s(literal -1 binary32))
(/.f32 (+.f32 (*.f32 #s(literal 8 binary32) (*.f32 s (*.f32 s s))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 s #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 s #s(literal 2 binary32))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32)))))
(/.f32 (*.f32 s (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.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) (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)))))
(/.f32 (*.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) s) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (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 (/.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) (*.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)))) (/.f32 s #s(literal 1 binary32)))
(*.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 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) #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 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))
(fma.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32) #s(literal 2 binary32))
(-.f32 (/.f32 #s(literal 4 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) (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))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))))
(/.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 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.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)))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))
(*.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 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 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (*.f32 #s(literal 4 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
(/.f32 (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) (+.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) (exp.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (/.f32 (fabs.f32 x) s))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) (neg.f32 s)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/4 binary32)))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/4 binary32)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal 1/4 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal -1 binary32))
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(*.f32 x (neg.f32 (/.f32 x (*.f32 s s))))
(*.f32 (*.f32 x x) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x x) s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1 binary32) s))
(*.f32 (neg.f32 x) (/.f32 x (*.f32 s s)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 x s) (neg.f32 (/.f32 x s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x x) s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x x) s))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (/.f32 x s)) (/.f32 x s))
(neg.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x x) s)))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x x))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x x)) #s(literal 1 binary32)))
(/.f32 s (/.f32 (*.f32 s s) (*.f32 x x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 x x) s)
(/.f32 (*.f32 x x) (neg.f32 (neg.f32 s)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (*.f32 (*.f32 x x) s))
(/.f32 (*.f32 (*.f32 x x) s) (*.f32 s s))
(/.f32 (*.f32 (*.f32 x x) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))) s)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 s (*.f32 x x)) (*.f32 s s))
(/.f32 (*.f32 s #s(literal 1 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))
(/.f32 (*.f32 s (/.f32 (*.f32 x x) s)) s)
(/.f32 (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 x x))) (*.f32 s (neg.f32 s)))
(/.f32 (*.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 x x)))
(/.f32 (*.f32 (/.f32 (*.f32 x x) s) s) s)
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 s (neg.f32 s)))
(/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) s)) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) s)) (*.f32 x x))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x x) s)))
(*.f32 x (/.f32 x s))
(*.f32 x (*.f32 (/.f32 x (*.f32 s s)) s))
(*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s)
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 x s) x)
(*.f32 (/.f32 x s) (*.f32 (/.f32 x s) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x x))
(*.f32 (*.f32 s x) (/.f32 x (*.f32 s s)))
(*.f32 (*.f32 s (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (*.f32 s (/.f32 x s)) (/.f32 x s))
(*.f32 (pow.f32 (/.f32 s (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (pow.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(neg.f32 (log.f32 (/.f32 #s(literal 1/4 binary32) s)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 s #s(literal 1/4 binary32))))
(+.f32 (log.f32 s) (log.f32 #s(literal 4 binary32)))
(+.f32 (log.f32 (neg.f32 s)) (log.f32 #s(literal -4 binary32)))
(+.f32 (log.f32 #s(literal 4 binary32)) (log.f32 s))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/4 binary32) s)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32))))
(-.f32 (log.f32 s) (log.f32 #s(literal 1/4 binary32)))
(-.f32 (log.f32 (neg.f32 s)) (log.f32 #s(literal -1/4 binary32)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) s))))
(-.f32 (log.f32 (neg.f32 (neg.f32 s))) (log.f32 #s(literal 1/4 binary32)))
(/.f32 (-.f32 (pow.f32 (log.f32 s) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 1/4 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 s) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 (log.f32 s) (log.f32 #s(literal 1/4 binary32))))))
(/.f32 (-.f32 (pow.f32 (log.f32 s) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (log.f32 (*.f32 s #s(literal 1/4 binary32))))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1/4 binary32) s)))
(log.f32 (/.f32 s #s(literal 1/4 binary32)))

simplify403.0ms (3.4%)

Algorithm
egg-herbie
Rules
4268×*-lowering-*.f32
4268×*-lowering-*.f64
2510×+-lowering-+.f64
2510×+-lowering-+.f32
1478×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05898303
119647628
271687628
081127628
Stop Event
iter limit
node limit
Counts
600 → 600
Calls
Call 1
Inputs
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)
(/ (- (+ 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)))) s)
(/ (- (+ 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)))))))))) (* -1/64 (pow (fabs x) 4))) (pow s 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))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* 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) s))
(* -1 (/ (- (+ (* -1 (/ (+ (* -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))) s)) (* -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) s))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* 4 s)
(* s (+ 4 (/ (pow (fabs x) 2) (pow s 2))))
(* s (+ 4 (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
(* s (+ 4 (+ (* -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))))))))) (pow s 4))) (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (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 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))
(* -1 (* s (- (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -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)))) s)) (* -1/2 (pow (fabs x) 3)))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
4
(+ 4 (/ (pow (fabs x) 2) (pow s 2)))
(+ 4 (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))
(+ 4 (+ (* -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))))))))) (pow s 4))) (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
4
(+ 4 (/ (pow (fabs x) 2) (pow s 2)))
(+ 4 (+ (* -1 (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3))) (+ (* -1/2 (/ (pow (fabs x) 3) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
(+ 4 (+ (* -1 (/ (+ (* -1 (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (+ (* -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))))) s)) (+ (* -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))))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
2
(+ 2 (/ (pow (fabs x) 2) (pow s 2)))
(+ 2 (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))
(+ 2 (+ (* -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))))))))) (pow s 4))) (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
2
(+ 2 (/ (pow (fabs x) 2) (pow s 2)))
(+ 2 (+ (* -1 (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3))) (+ (* -1/2 (/ (pow (fabs x) 3) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (+ (* -1 (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (+ (* -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))))) s)) (+ (* -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))))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))
(/ s (pow x 2))
(* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))
(* s (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* 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))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s)
(/ (- (+ 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)
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(exp (- (* -1 (/ (fabs x) s)) (log (* 4 s))))
(exp (- (* -1 (/ (fabs x) s)) (log (* 4 s))))
(exp (- (* -1 (/ (fabs x) s)) (log (* 4 s))))
(* -1 (/ (fabs x) s))
(/ (+ (* -1 (fabs x)) (* -1 (* s (+ (log 4) (log s))))) s)
(/ (+ (* -1 (fabs x)) (* -1 (* s (+ (log 4) (log s))))) s)
(/ (+ (* -1 (fabs x)) (* -1 (* s (+ (log 4) (log s))))) s)
(* -1 (+ (log 4) (* -1 (log (/ 1 s)))))
(- (* -1 (/ (fabs x) s)) (+ (log 4) (* -1 (log (/ 1 s)))))
(- (* -1 (/ (fabs x) s)) (+ (log 4) (* -1 (log (/ 1 s)))))
(- (* -1 (/ (fabs x) s)) (+ (log 4) (* -1 (log (/ 1 s)))))
(* -1 (+ (log -4) (* -1 (log (/ -1 s)))))
(- (* -1 (/ (fabs x) s)) (+ (log -4) (* -1 (log (/ -1 s)))))
(- (* -1 (/ (fabs x) s)) (+ (log -4) (* -1 (log (/ -1 s)))))
(- (* -1 (/ (fabs x) s)) (+ (log -4) (* -1 (log (/ -1 s)))))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 s)))
(- (* -1 (/ (fabs x) s)) (log (* 4 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))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(/ s (fabs x))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
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 (+ (* -1/2 (/ (+ (* -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))))))))) (pow s 4))) (+ (* -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 (/ (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 (/ (+ (* -1/2 (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (* 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)))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(/ (pow 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)
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow x 2) (pow s 2)))
(* -1 (/ (pow 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)
(+ (log 4) (log s))
(+ (log 4) (log s))
(+ (log 4) (log s))
(+ (log 4) (log s))
(+ (log 4) (* -1 (log (/ 1 s))))
(+ (log 4) (* -1 (log (/ 1 s))))
(+ (log 4) (* -1 (log (/ 1 s))))
(+ (log 4) (* -1 (log (/ 1 s))))
(+ (log -4) (* -1 (log (/ -1 s))))
(+ (log -4) (* -1 (log (/ -1 s))))
(+ (log -4) (* -1 (log (/ -1 s))))
(+ (log -4) (* -1 (log (/ -1 s))))
Outputs
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (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)
(/ (- (+ 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)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/16 binary32) (-.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 (*.f32 x x) (*.f32 s s))))) s)
(/ (- (+ 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)))))))))) (* -1/64 (pow (fabs x) 4))) (pow s 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))))) s)
(/.f32 (+.f32 (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (+.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/64 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)) #s(literal 1/32 binary32))) (*.f32 #s(literal -1/16 binary32) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x (*.f32 x (fabs.f32 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 #s(literal 1/16 binary32) 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 s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(* -1 (/ (- (+ (* 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) s))
(/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/16 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)))))) #s(literal 1/4 binary32)) s)
(* -1 (/ (- (+ (* -1 (/ (+ (* -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))) s)) (* -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) s))
(/.f32 (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (-.f32 (+.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) #s(literal 1/32 binary32))) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) #s(literal 1/32 binary32))) (/.f32 (+.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/64 binary32)) (*.f32 #s(literal -1/16 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 (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)))))) s)) (*.f32 s (*.f32 s s)))) #s(literal -1/4 binary32)) (neg.f32 s))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(*.f32 s (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(*.f32 s (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(*.f32 s (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s)))))))
(*.f32 s (+.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (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 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
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(* 4 s)
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4
#s(literal 4 binary32)
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4
#s(literal 4 binary32)
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2
#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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1
#s(literal 1 binary32)
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(+ 1 (+ (* -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))))))))) (pow s 4))) (+ (* -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 (*.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 (*.f32 x (*.f32 x (fabs.f32 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 (* (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 #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 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3)))) (* 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)))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x (fabs.f32 x)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))) (/.f32 (*.f32 #s(literal 1/2 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 (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))))) s)) (*.f32 s (*.f32 s s)))))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(* 1/2 (+ (exp (* -1 (/ (fabs x) s))) (/ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s 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)
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(/ (pow x 2) s)
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(/ (pow x 2) s)
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(/ (pow x 2) s)
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(/ (pow x 2) s)
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(/ (pow x 2) s)
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(/ (pow x 2) s)
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(/ (pow x 2) s)
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(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
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(/ (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)
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
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(* -1 (/ (pow x 2) (pow s 2)))
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(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
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(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
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(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 s s))
(* -1 (/ (pow x 2) (pow s 2)))
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(* -1 (/ (pow x 2) (pow s 2)))
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(/ (pow x 2) s)
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(/ (pow x 2) s)
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(/ (pow x 2) s)
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(/ (pow x 2) s)
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(/ (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)
(+ (log 4) (log s))
(+.f32 (log.f32 #s(literal 4 binary32)) (log.f32 s))
(+ (log 4) (log s))
(+.f32 (log.f32 #s(literal 4 binary32)) (log.f32 s))
(+ (log 4) (log s))
(+.f32 (log.f32 #s(literal 4 binary32)) (log.f32 s))
(+ (log 4) (log s))
(+.f32 (log.f32 #s(literal 4 binary32)) (log.f32 s))
(+ (log 4) (* -1 (log (/ 1 s))))
(+.f32 (log.f32 #s(literal 4 binary32)) (log.f32 s))
(+ (log 4) (* -1 (log (/ 1 s))))
(+.f32 (log.f32 #s(literal 4 binary32)) (log.f32 s))
(+ (log 4) (* -1 (log (/ 1 s))))
(+.f32 (log.f32 #s(literal 4 binary32)) (log.f32 s))
(+ (log 4) (* -1 (log (/ 1 s))))
(+.f32 (log.f32 #s(literal 4 binary32)) (log.f32 s))
(+ (log -4) (* -1 (log (/ -1 s))))
(-.f32 (log.f32 #s(literal -4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) s)))
(+ (log -4) (* -1 (log (/ -1 s))))
(-.f32 (log.f32 #s(literal -4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) s)))
(+ (log -4) (* -1 (log (/ -1 s))))
(-.f32 (log.f32 #s(literal -4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) s)))
(+ (log -4) (* -1 (log (/ -1 s))))
(-.f32 (log.f32 #s(literal -4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) s)))

eval141.0ms (1.2%)

Compiler

Compiled 33795 to 4057 computations (88% saved)

prune207.0ms (1.7%)

Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New1529251554
Fresh369
Picked325
Done033
Total1535361571
Accuracy
99.7%
Counts
1571 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.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)
38.3%
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
35.4%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x)))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s)
10.5%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
59.9%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
35.4%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x))))))) s)
96.0%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 3 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
99.5%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))
94.9%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
27.1%
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
15.8%
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))))) (*.f32 x x)) (*.f32 s #s(literal 1/2 binary32))) (*.f32 x x))
48.2%
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
37.8%
(/.f32 s (*.f32 x x))
2.5%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 s #s(literal 2 binary32))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))))))
55.1%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (*.f32 s #s(literal 4 binary32)) (+.f32 s (fabs.f32 x)))) s))
40.3%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s (*.f32 (fabs.f32 x) #s(literal 4 binary32)))) s))
39.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
61.6%
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
45.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))))))
53.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s)))
39.7%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x x)) #s(literal 4 binary32))))
18.7%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 4 binary32))))
36.3%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
81.2%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
74.8%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
76.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
73.2%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) x))) s))))
74.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s))))
99.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
39.9%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
27.6%
(/.f32 #s(literal 1/4 binary32) s)
93.6%
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) (log.f32 (/.f32 s #s(literal 1/4 binary32)))))
93.6%
(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (log.f32 (/.f32 s #s(literal 1/4 binary32)))))
75.8%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
Compiler

Compiled 1645 to 674 computations (59% saved)

regimes136.0ms (1.1%)

Counts
58 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s)) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) s) (*.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x)))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s (*.f32 (fabs.f32 x) #s(literal 4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (*.f32 s #s(literal 4 binary32)) (+.f32 s (fabs.f32 x)))) s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))))) (*.f32 x x)) (*.f32 s #s(literal 1/2 binary32))) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 3 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 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))))))
(/.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 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #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)))))))) s)
(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (log.f32 (/.f32 s #s(literal 1/4 binary32)))))
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))) (log.f32 (/.f32 s #s(literal 1/4 binary32)))))
(/.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 (/.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))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) s)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32)))) (/.f32 #s(literal 1/4 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal -1/2 binary32)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 s #s(literal 2 binary32))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s #s(literal 2 binary32))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (/.f32 (+.f32 (*.f32 s (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
Calls

5 calls:

34.0ms
s
31.0ms
(neg.f32 (fabs.f32 x))
17.0ms
x
16.0ms
(fabs.f32 x)
12.0ms
(/.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
99.5%1x
99.5%1s
99.5%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)))))
99.5%1(neg.f32 (fabs.f32 x))
99.5%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes57.0ms (0.5%)

Counts
43 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s)) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) s) (*.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x)))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s (*.f32 (fabs.f32 x) #s(literal 4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (*.f32 s #s(literal 4 binary32)) (+.f32 s (fabs.f32 x)))) s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))))) (*.f32 x x)) (*.f32 s #s(literal 1/2 binary32))) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 3 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 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))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) 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

4 calls:

15.0ms
x
13.0ms
s
13.0ms
(neg.f32 (fabs.f32 x))
12.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
99.5%1x
99.5%1s
99.5%1(neg.f32 (fabs.f32 x))
99.5%1(fabs.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes124.0ms (1%)

Counts
41 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s)) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) s) (*.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x)))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s (*.f32 (fabs.f32 x) #s(literal 4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (*.f32 s #s(literal 4 binary32)) (+.f32 s (fabs.f32 x)))) s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))))) (*.f32 x x)) (*.f32 s #s(literal 1/2 binary32))) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 3 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)))
Outputs
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 3 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
Calls

4 calls:

42.0ms
(fabs.f32 x)
35.0ms
s
31.0ms
x
11.0ms
(neg.f32 (fabs.f32 x))
Results
AccuracySegmentsBranch
96.0%1x
96.0%1s
96.0%1(neg.f32 (fabs.f32 x))
96.0%1(fabs.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes159.0ms (1.3%)

Counts
39 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s)) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) s) (*.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x)))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s (*.f32 (fabs.f32 x) #s(literal 4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (*.f32 s #s(literal 4 binary32)) (+.f32 s (fabs.f32 x)))) s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))))) (*.f32 x x)) (*.f32 s #s(literal 1/2 binary32))) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
Calls

4 calls:

75.0ms
s
37.0ms
(neg.f32 (fabs.f32 x))
32.0ms
x
11.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
94.9%1x
94.9%1s
94.9%1(neg.f32 (fabs.f32 x))
94.9%1(fabs.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes45.0ms (0.4%)

Counts
38 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s)) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) s) (*.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x)))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s (*.f32 (fabs.f32 x) #s(literal 4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (*.f32 s #s(literal 4 binary32)) (+.f32 s (fabs.f32 x)))) s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))))) (*.f32 x x)) (*.f32 s #s(literal 1/2 binary32))) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
Outputs
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
Calls

3 calls:

13.0ms
(fabs.f32 x)
12.0ms
x
11.0ms
s
Results
AccuracySegmentsBranch
94.9%1s
94.9%1x
94.9%1(fabs.f32 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes36.0ms (0.3%)

Counts
36 → 3
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s)) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) s) (*.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x)))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s (*.f32 (fabs.f32 x) #s(literal 4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (*.f32 s #s(literal 4 binary32)) (+.f32 s (fabs.f32 x)))) s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))))) (*.f32 x x)) (*.f32 s #s(literal 1/2 binary32))) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
Calls

3 calls:

11.0ms
x
11.0ms
s
10.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
93.9%3x
81.2%1s
93.9%3(fabs.f32 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes25.0ms (0.2%)

Counts
35 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s)) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) s) (*.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s)))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x)))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 s s) (*.f32 x x))))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s (*.f32 (fabs.f32 x) #s(literal 4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (*.f32 s #s(literal 4 binary32)) (+.f32 s (fabs.f32 x)))) s))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))) s))))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))))) (*.f32 x x)) (*.f32 s #s(literal 1/2 binary32))) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
Calls

2 calls:

12.0ms
x
11.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
85.5%2x
85.5%2(fabs.f32 x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) (*.f32 #s(literal 1/16 binary32) (/.f32 x s)))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s)) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)) s))))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
85.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
Calls

2 calls:

5.0ms
x
4.0ms
s
Results
AccuracySegmentsBranch
74.8%1s
74.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)
Calls

2 calls:

3.0ms
s
3.0ms
x
Results
AccuracySegmentsBranch
72.2%2s
76.1%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32))))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
Calls

2 calls:

4.0ms
x
3.0ms
s
Results
AccuracySegmentsBranch
64.9%2s
68.5%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s)))
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
Outputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
68.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

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

2 calls:

2.0ms
s
2.0ms
x
Results
AccuracySegmentsBranch
43.7%2s
60.8%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
60.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
58.7%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
s
1.0ms
x
Results
AccuracySegmentsBranch
27.6%1s
27.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.380987877501298e-10
9.761509378591882e-10
0.0ms
1.7609448547747495e-29
8.524019081699646e-29
Compiler

Compiled 31 to 15 computations (51.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.842101886812958e-25
9.926016678203435e-24
Compiler

Compiled 31 to 15 computations (51.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.7609448547747495e-29
8.524019081699646e-29
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.8600643705887716e-19
1.9932295924642693e-19
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
5.381781242874695e-9
1.1156634727171877e-8
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
5.381781242874695e-9
1.1156634727171877e-8
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
5.381781242874695e-9
1.1156634727171877e-8
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
5.381781242874695e-9
1.1156634727171877e-8
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
5.381781242874695e-9
1.1156634727171877e-8
Compiler

Compiled 33 to 15 computations (54.5% saved)

simplify16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
088287
1116287
2128287
3136287
4141287
5143287
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(/.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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 3 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(if (<=.f32 (fabs.f32 x) #s(literal 1661535/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32)))) (if (<=.f32 (fabs.f32 x) #s(literal 10808639/18014398509481984 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(if (<=.f32 (fabs.f32 x) #s(literal 2028241/10141204801825835211973625643008 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32)))))
(if (<=.f32 x #s(literal 1661535/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(if (<=.f32 x #s(literal 7350269/38685626227668133590597632 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32)))) (/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) s)
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))))))
(/.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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 3 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(if (<=.f32 (fabs.f32 x) #s(literal 1661535/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32)))) (if (<=.f32 (fabs.f32 x) #s(literal 10808639/18014398509481984 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(if (<=.f32 (fabs.f32 x) #s(literal 1661535/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s))))) (if (<=.f32 (fabs.f32 x) #s(literal 10808639/18014398509481984 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))
(if (<=.f32 (fabs.f32 x) #s(literal 2028241/10141204801825835211973625643008 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32)))))
(if (<=.f32 (fabs.f32 x) #s(literal 2028241/10141204801825835211973625643008 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x))))))
(if (<=.f32 x #s(literal 1661535/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32)))))
(if (<=.f32 x #s(literal 1661535/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s)))))
(if (<=.f32 x #s(literal 7350269/38685626227668133590597632 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) s) (/.f32 s #s(literal -1/4 binary32)))) (/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)))
(if (<=.f32 x #s(literal 11258999/1125899906842624 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) s)

soundness3.2s (27.3%)

Rules
4932×*-lowering-*.f32
4932×*-lowering-*.f64
4894×/-lowering-/.f32
4894×/-lowering-/.f64
4850×*-lowering-*.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
041252
1279223
22383212
09725212
01126
13726
211225
327725
461624
5111218
6191917
7377816
8694916
0850316
037234
1247195
21895195
09113195
05898303
119647628
271687628
081127628
05036120
116865504
264755466
082375466
03223146
110622800
240472727
082862727
036185
1211172
21566167
08406167
020115
113499
2102495
0864295
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1031 to 610 computations (40.8% saved)

preprocess63.0ms (0.5%)

Remove

(abs x)

Compiler

Compiled 736 to 270 computations (63.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...