Logistic distribution

Time bar (total: 12.8s)

analyze70.0ms (0.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
...c/correct-round.rkt:119:19: 9.0ms (22.8% of total)
ival-fabs: 6.0ms (15.2% of total)
ival-div: 5.0ms (12.7% of total)
ival-mult: 5.0ms (12.7% of total)
ival-exp: 4.0ms (10.1% of total)
ival-add: 3.0ms (7.6% of total)
ival-<=: 3.0ms (7.6% of total)
ival-neg: 2.0ms (5.1% of total)
ival-and: 1.0ms (2.5% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

sample2.1s (16.6%)

Results
1.8s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-fabs: 431.0ms (33.6% of total)
ival-mult: 228.0ms (17.8% of total)
ival-div: 214.0ms (16.7% of total)
...c/correct-round.rkt:119:19: 143.0ms (11.2% of total)
ival-exp: 75.0ms (5.9% of total)
ival-<=: 70.0ms (5.5% of total)
ival-add: 48.0ms (3.7% of total)
ival-neg: 40.0ms (3.1% of total)
ival-and: 16.0ms (1.2% of total)
const: 12.0ms (0.9% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess232.0ms (1.8%)

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

Useful iterations: 7 (0.0ms)

IterNodesCost
037166
1151108
2493106
31642106
45576106
01126
13818
211418
328118
462718
5113318
6194317
7378616
8696216
0856016
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
Outputs
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (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)))))
(/ (/ (fast-exp (/ (fabs x) (neg s))) s) (square (+ 1 (fast-exp (/ (fabs x) (neg s))))))
(/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s)))))
(/ (/ (fast-exp (/ (fabs x) (neg s))) s) (square (+ 1 (fast-exp (/ (fabs x) (neg s))))))
(/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s))))))
(/ (/ (fast-exp (/ (fabs x) s)) (neg s)) (square (+ 1 (fast-exp (/ (fabs x) s)))))
(neg (/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s))))))
(/ (/ (fast-exp (/ (fabs x) (neg s))) (neg s)) (square (+ 1 (fast-exp (/ (fabs x) (neg s))))))
(neg (/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s)))))))
(/ (/ (fast-exp (/ (fabs x) s)) s) (square (+ 1 (fast-exp (/ (fabs x) s)))))
(/ (exp (/ (neg (fabs s)) x)) (* (* x (+ 1 (exp (/ (neg (fabs s)) x)))) (+ 1 (exp (/ (neg (fabs s)) x)))))
(/ (/ (fast-exp (/ (fabs s) (neg x))) x) (square (+ 1 (fast-exp (/ (fabs s) (neg x))))))
Symmetry

(abs x)

explain148.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14(1.1200960874557495 0.00459131458774209)1(4.054377722439995e-9 5.260812271923321e-11)(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
10-0-(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
00-0-(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
00-0-x
00-0-(fabs.f32 x)
00-0-(/.f32 (neg.f32 (fabs.f32 x)) s)
00-0-(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
00-0-(neg.f32 (fabs.f32 x))
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Results
100.0ms512×0valid
Compiler

Compiled 198 to 35 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 8.0ms (27.8% of total)
ival-mult: 6.0ms (20.9% of total)
ival-exp: 5.0ms (17.4% of total)
ival-add: 3.0ms (10.4% of total)
ival-fabs: 3.0ms (10.4% of total)
ival-neg: 2.0ms (7% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 21 to 15 computations (28.6% saved)

prune9.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
▶99.4%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
Compiler

Compiled 49 to 26 computations (46.9% saved)

simplify225.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
✓cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓cost-diff32
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓cost-diff6592
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
✓cost-diff0
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))
✓cost-diff0
(*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
✓cost-diff32
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
Rules
2372×*-lowering-*.f32
2372×*-lowering-*.f64
1768×fma-define
1290×fma-lowering-fma.f32
1290×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022157
171145
2180144
3433144
4847144
51450144
62390144
74329144
87964144
08004144
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))))
1
(* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2)))
s
(+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))
(exp (/ (- 0 (fabs x)) s))
(/ (- 0 (fabs x)) s)
(- 0 (fabs x))
0
(fabs x)
x
(+ (exp (/ (fabs x) s)) 2)
(exp (/ (fabs x) s))
(/ (fabs x) s)
2
(/ (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
Outputs
(/ 1 (* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
1
#s(literal 1 binary32)
(* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2)))
(*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
s
(+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(exp (/ (- 0 (fabs x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/ (- 0 (fabs x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(- 0 (fabs x))
(neg.f32 (fabs.f32 x))
0
#s(literal 0 binary32)
(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))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
2
#s(literal 2 binary32)
(/ (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 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(exp (/ (neg (fabs x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/ (neg (fabs x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(neg (fabs x))
(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 (exp.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) s)) (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(+ 1 (exp (/ (neg (fabs x)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)

localize110.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓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))))
✓accuracy99.8%
(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)))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
✓accuracy99.8%
(exp.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.8%
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
✓accuracy99.6%
(*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
Results
79.0ms256×0valid
Compiler

Compiled 176 to 23 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 14.0ms (40.8% of total)
ival-exp: 7.0ms (20.4% of total)
ival-mult: 5.0ms (14.6% of total)
ival-add: 4.0ms (11.7% of total)
ival-fabs: 2.0ms (5.8% of total)
ival-sub: 1.0ms (2.9% of total)
const: 1.0ms (2.9% of total)
ival-neg: 1.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

Counts
12 → 276
Calls
Call 1
Inputs
#<alt (- 0 (fabs x))>
#<alt (/ 1 (* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))))>
#<alt (* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2)))>
#<alt (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))>
#<alt (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))>
#<alt (* s (+ 1 (exp (/ (neg (fabs x)) s))))>
#<alt (exp (/ (neg (fabs x)) s))>
#<alt (/ (neg (fabs x)) s)>
#<alt (exp (/ (- 0 (fabs x)) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))>
#<alt (+ 1 (exp (/ (neg (fabs x)) s)))>
Outputs
#<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 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (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 (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* 4 s)>
#<alt (* s (+ 4 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s))))>
#<alt (* s (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* s (+ 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 s)>
#<alt (* -1 (* s (- (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (+ (fabs x) (* -1 (fabs x)))) (/ (pow (fabs x) 2) s)) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (+ (fabs x) (* -1 (fabs x)))) (* -1 (/ (+ (* -1 (pow (fabs x) 2)) (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/6 (/ (pow (fabs x) 3) s)))) s))) s)) 4)))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s))))>
#<alt 4>
#<alt (+ 4 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)))>
#<alt (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))))>
#<alt 4>
#<alt (+ 4 (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)))>
#<alt (+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) s)))) s)))>
#<alt (+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)) (pow (fabs x) 2)) s)))) s)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)>
#<alt (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* 2 s)>
#<alt (* s (+ 2 (* -1 (/ (fabs x) s))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))>
#<alt (* 2 s)>
#<alt (* -1 (* s (- (/ (fabs x) s) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (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 (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 (* 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)))>
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)))))
2.0ms
x
@inf
(/ 1 (* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))))
2.0ms
s
@inf
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms
s
@-inf
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms
x
@-inf
(/ 1 (* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))))

rewrite384.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
3460×/-lowering-/.f32
3460×/-lowering-/.f64
3418×*-lowering-*.f32
3418×*-lowering-*.f64
1854×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022135
1158116
21198103
08796103
Stop Event
1×iter limit
1×node limit
Counts
12 → 490
Calls
Call 1
Inputs
(- 0 (fabs x))
(/ 1 (* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))))
(* s (+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2)))
(+ (exp (/ (- 0 (fabs x)) s)) (+ (exp (/ (fabs x) s)) 2))
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
(* s (+ 1 (exp (/ (neg (fabs x)) s))))
(exp (/ (neg (fabs x)) s))
(/ (neg (fabs x)) s)
(exp (/ (- 0 (fabs x)) s))
(exp (/ (fabs x) s))
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
(+ 1 (exp (/ (neg (fabs x)) s)))
Outputs
(neg.f32 (fabs.f32 x))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(+.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal 0 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x))))
(/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 x x))
(/.f32 (*.f32 x x) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(/.f32 (*.f32 x x) (-.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal 0 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (fabs.f32 x))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 x x) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 (+.f32 (neg.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) #s(literal 0 binary32)) (+.f32 (*.f32 x x) (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal 0 binary32)))))
(*.f32 (fabs.f32 x) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(*.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (fabs.f32 x))
(*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(*.f32 (neg.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (*.f32 x x) (/.f32 #s(literal -1 binary32) (fabs.f32 x)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))
(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 (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 0 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 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)))) (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 0 binary32) (/.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 (neg.f32 (-.f32 #s(literal 0 binary32) (/.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 #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 #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 (/.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 #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 (/.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 0 binary32) (/.f32 #s(literal 1 binary32) s)) (/.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 (/.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 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32))))) (+.f32 (-.f32 (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))))) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.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 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32)))) (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32)))
(*.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 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (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))))) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32)))))))
(*.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 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32)))))
(neg.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 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 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
(+.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(+.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s #s(literal 2 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s))
(pow.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32))
(pow.f32 (/.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))
(fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(fma.f32 s (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) 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 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(fma.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s (*.f32 #s(literal 2 binary32) s))
(-.f32 #s(literal 0 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 0 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 (/.f32 (pow.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (-.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (/.f32 (pow.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))))
(-.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))) (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) s)) (/.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) 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 (+.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 (pow.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) (+.f32 (*.f32 (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32))) (*.f32 s (*.f32 s s))) (pow.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (-.f32 (pow.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (pow.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 (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))))) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32)))) (*.f32 s (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32)) (*.f32 s (*.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 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 (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))))) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32)))) (*.f32 (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32)))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32)) (*.f32 (*.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 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32))) s)))
(/.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) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) 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 #s(literal -1 binary32) (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))))))))
(/.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 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (+.f32 (*.f32 (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32))) (*.f32 s (*.f32 s s))) (pow.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (pow.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/.f32 (*.f32 s (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32))))) (+.f32 (-.f32 (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))))) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32)))))
(/.f32 (*.f32 s (*.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 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32)))) (+.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal -2 binary32)))
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(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (expm1.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))))
(*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (expm1.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))

simplify329.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3330×*-lowering-*.f32
3330×*-lowering-*.f64
2680×+-lowering-+.f64
2680×+-lowering-+.f32
1460×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03643462
112272966
247752864
088162864
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* -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 (* 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 (* 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 (* 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))))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* 4 s)
(* s (+ 4 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s))))
(* s (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 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 s)
(* -1 (* s (- (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (fabs x) (* -1 (fabs x)))) (/ (pow (fabs x) 2) s)) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (fabs x) (* -1 (fabs x)))) (* -1 (/ (+ (* -1 (pow (fabs x) 2)) (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/6 (/ (pow (fabs x) 3) s)))) s))) s)) 4)))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) s)))))
(* 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))))
(+ 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)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(* 2 s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(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)))
(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)))
(* 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)))
Outputs
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)
(/.f32 #s(literal 1/4 binary32) 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)
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) 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)
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s))
(/.f32 #s(literal 1/4 binary32) 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))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) 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))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s)
(/ 1 (* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s))))
(*.f32 s #s(literal 4 binary32))
(* s (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)))
(* s (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2))))))))
(*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* -1 (* s (- (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)) 4)))
(*.f32 s #s(literal 4 binary32))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (fabs x) (* -1 (fabs x)))) (/ (pow (fabs x) 2) s)) s)) 4)))
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (neg.f32 s))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (fabs x) (* -1 (fabs x)))) (* -1 (/ (+ (* -1 (pow (fabs x) 2)) (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/6 (/ (pow (fabs x) 3) s)))) s))) s)) 4)))
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (neg.f32 s))
(* s (+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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))) (exp (/ (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)))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) 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))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) 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))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) 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))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) 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))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) 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))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) 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))))
(+ 2 (+ (exp (* -1 (/ (fabs x) s))) (exp (/ (fabs x) 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))))
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(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))

eval128.0ms (1%)

Compiler

Compiled 34914 to 2933 computations (91.6% saved)

prune146.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1117121129
Fresh000
Picked112
Done000
Total1118131131
Accuracy
99.6%
Counts
1131 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(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))
▶99.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
99.4%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
✓99.3%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
▶95.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
28.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32)))) s) (+.f32 (-.f32 (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))))) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))))))
99.4%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
▶99.4%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
78.6%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
40.2%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
99.4%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
▶29.2%
(/.f32 #s(literal 1/4 binary32) s)
99.4%
(*.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))
Compiler

Compiled 530 to 327 computations (38.3% saved)

simplify190.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓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-diff0
(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))
✓cost-diff6464
(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))
✓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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) 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-diff0
(fabs.f32 x)
✓cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓cost-diff32
(/.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-diff0
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
✓cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s)
✓cost-diff64
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
Rules
3914×*-lowering-*.f32
3914×*-lowering-*.f64
2184×fma-define
1468×+-lowering-+.f64
1468×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027214
160205
2101202
3173201
4290201
5530201
61271201
73519201
87730201
08438201
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s)))
1
(+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s))
(* (* 2 (cosh (/ (fabs x) s))) s)
(* 2 (cosh (/ (fabs x) s)))
2
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
(* 2 s)
(/ 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
(pow (pow (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1/2) 2)
(pow (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1/2)
(* 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
-1/2
Outputs
(/ 1 (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s)))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)
(+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s))
(*.f32 (*.f32 #s(literal 2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(* (* 2 (cosh (/ (fabs x) s))) s)
(*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s))
(* 2 (cosh (/ (fabs x) s)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
2
#s(literal 2 binary32)
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
(* 2 s)
(*.f32 #s(literal 2 binary32) s)
(/ 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 (/.f32 #s(literal 1/4 binary32) (exp.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 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) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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
(pow (pow (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1/2) 2)
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(pow (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1/2)
(pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))
(* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(*.f32 (*.f32 #s(literal 2 binary32) s) (+.f32 #s(literal 1 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
-1/2
#s(literal -1/2 binary32)

localize182.0ms (1.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
✓accuracy99.5%
(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))
✓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(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
✓accuracy99.8%
(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)
✓accuracy99.8%
(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)
✓accuracy100.0%
(fabs.f32 x)
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s)
Results
126.0ms256×0valid
Compiler

Compiled 227 to 28 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 15.0ms (30% of total)
ival-pow: 11.0ms (22% of total)
ival-mult: 10.0ms (20% of total)
ival-add: 3.0ms (6% of total)
ival-fabs: 3.0ms (6% of total)
ival-cosh: 3.0ms (6% of total)
ival-exp: 2.0ms (4% of total)
const: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series55.0ms (0.4%)

Counts
17 → 372
Calls
Call 1
Inputs
#<alt (/ 1 (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s)))>
#<alt (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s))>
#<alt (* (* 2 (cosh (/ (fabs x) s))) s)>
#<alt (* 2 (cosh (/ (fabs x) s)))>
#<alt (/ 1/4 s)>
#<alt (/ (exp (/ (neg (fabs x)) s)) (* s 4))>
#<alt (/ (neg (fabs x)) s)>
#<alt (exp (/ (neg (fabs x)) s))>
#<alt (fabs x)>
#<alt (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))>
#<alt (/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)>
#<alt (+ 2 (* 2 (cosh (/ (fabs x) s))))>
#<alt (pow (pow (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1/2) 2)>
#<alt (pow (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1/2)>
#<alt (* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))>
#<alt (cosh (/ (fabs x) s))>
#<alt (neg (fabs x))>
Outputs
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))) s))>
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#<alt 2>
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#<alt 1>
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#<alt 1>
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#<alt 1/4>
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#<alt 1/4>
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#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
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#<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 (+ 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 (/ 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 (/ (pow (sqrt -1) 2) s))>
#<alt (* -1 (/ (+ (* -1/16 (/ (* (pow (fabs x) 2) (pow (sqrt -1) 2)) (pow s 2))) (* 1/4 (pow (sqrt -1) 2))) s))>
#<alt (* -1 (/ (- (+ (* -1/16 (/ (* (pow (sqrt -1) 2) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* 1/4 (pow (sqrt -1) 2))) (* 1/16 (/ (* (pow (fabs x) 2) (pow (sqrt -1) 2)) (pow s 2)))) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/16 (/ (* (pow (sqrt -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)) (* -1/64 (/ (* (pow (fabs x) 4) (pow (sqrt -1) 2)) s))) (* -1/16 (* (pow (sqrt -1) 2) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))) (pow s 3))) (* 1/4 (pow (sqrt -1) 2))) (* 1/16 (/ (* (pow (fabs x) 2) (pow (sqrt -1) 2)) (pow s 2)))) 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 (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (* 1/2 (sqrt (/ 1 s)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (pow s 5))) (pow (fabs x) 2))) (* 1/2 (sqrt (/ 1 s))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (pow s 5))) (pow (fabs x) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow s 7))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))))) (* 1/2 (sqrt (/ 1 s)))))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow s 9))) (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))))) (+ (* -1/16 (* (sqrt (/ 1 (pow s 5))) (pow (fabs x) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow s 7))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))))) (* 1/2 (sqrt (/ 1 s))))))>
#<alt (* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4)))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (pow s 5))) (/ (* (pow (fabs x) 2) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (+ (* -1 (/ (+ (* 1/32 (* (sqrt s) (/ (* (pow (fabs x) 2) (sqrt -1)) (sqrt -1/4)))) (* 1/32 (* (sqrt (/ 1 s)) (/ (* (sqrt -1) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (sqrt -1/4))))) (pow s 3))) (* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt s) (/ (* (sqrt -1) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ 1 s)) (/ (* (sqrt -1) (+ (* 1/64 (pow (fabs x) 4)) (* 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)))))))))))) (sqrt -1/4))))) s)) (* 1/32 (* (sqrt s) (/ (* (pow (fabs x) 2) (sqrt -1)) (sqrt -1/4))))) (pow s 3))) (* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (sqrt (/ 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 (* 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 (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))>
Calls

93 calls:

TimeVariablePointExpression
8.0ms
s
@-inf
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)
5.0ms
x
@0
(/ 1 (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s)))
5.0ms
s
@inf
(/ 1 (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s)))
2.0ms
x
@-inf
(/ 1 (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s)))
2.0ms
x
@inf
(/ 1 (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s)))

rewrite350.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
5074×*-lowering-*.f32
5074×*-lowering-*.f64
2582×/-lowering-/.f32
2582×/-lowering-/.f64
1336×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027140
1149132
2889131
08681131
Stop Event
1×iter limit
1×node limit
Counts
17 → 911
Calls
Call 1
Inputs
(/ 1 (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s)))
(+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s))
(* (* 2 (cosh (/ (fabs x) s))) s)
(* 2 (cosh (/ (fabs x) s)))
(/ 1/4 s)
(/ (exp (/ (neg (fabs x)) s)) (* s 4))
(/ (neg (fabs x)) s)
(exp (/ (neg (fabs x)) s))
(fabs x)
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(pow (pow (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1/2) 2)
(pow (* s (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1/2)
(* s (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(cosh (/ (fabs x) s))
(neg (fabs x))
Outputs
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 s #s(literal -2 binary32)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 s #s(literal -2 binary32)))) #s(literal 1 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (log.f32 (/.f32 #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 (pow.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.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 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)))) (+.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) s))))
(+.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)))))) (*.f32 (+.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) s)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s 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 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s 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 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)))) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)))) (*.f32 s #s(literal -2 binary32))))
(+.f32 (*.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s 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 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s 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 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s 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 (*.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32))))) (*.f32 (*.f32 s #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 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 #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))
(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 (pow.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1/4 binary32)) #s(literal 4 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 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (pow.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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 2 binary32))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 s #s(literal -2 binary32)))))
(-.f32 (/.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)))) (/.f32 (*.f32 #s(literal 2 binary32) s) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)))))
(-.f32 (/.f32 (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal 4 binary32))) (*.f32 (*.f32 s (*.f32 s 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 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s (/.f32 s #s(literal 1/4 binary32)))) (*.f32 (*.f32 s (*.f32 s 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 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 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
(/.f32 #s(literal -1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 s #s(literal -2 binary32))))
(/.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 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))) (*.f32 (*.f32 s (*.f32 s 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 (/.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 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))) (neg.f32 (*.f32 (*.f32 s (*.f32 s 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 (neg.f32 (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)))))
(/.f32 (/.f32 #s(literal -1 binary32) s) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)))) (*.f32 (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32))) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s s)) (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32)))) (*.f32 (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32))) (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s 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 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 6 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 s (*.f32 s 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 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)))))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 4 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 s (*.f32 s 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 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))))
(*.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 (/.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) (+.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(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 (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 (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 (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 1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 s #s(literal -2 binary32)))))
(*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 s #s(literal -2 binary32)))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 s #s(literal -2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 s #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (pow.f32 s #s(literal -1/2 binary32))))
(*.f32 (pow.f32 s #s(literal -1/2 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (pow.f32 s #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 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))))) (pow.f32 s #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 s #s(literal -1/2 binary32)) (*.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.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)))
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(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 s (/.f32 s #s(literal 1/4 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) (/.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))))) (+.f32 (*.f32 (/.f32 (*.f32 s (/.f32 s #s(literal 1/4 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) (/.f32 (*.f32 s (/.f32 s #s(literal 1/4 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))))) (*.f32 (/.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) (/.f32 (*.f32 s (/.f32 s #s(literal 1/4 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))))))))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) (/.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))))) (*.f32 (/.f32 (*.f32 s (/.f32 s #s(literal 1/4 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) (/.f32 (*.f32 s (/.f32 s #s(literal 1/4 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))))) (+.f32 (/.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) (/.f32 (*.f32 s (/.f32 s #s(literal 1/4 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 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 2 binary32) (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) s))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) s) #s(literal 1 binary32)))
(*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (*.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 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))))
(*.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))))))
(*.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 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 s #s(literal -2 binary32))))
(*.f32 (neg.f32 s) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))
(*.f32 (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)) (neg.f32 s))
(*.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 s #s(literal -2 binary32))) #s(literal -1 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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32))))) s))
(*.f32 (*.f32 (*.f32 s (*.f32 s 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 1 binary32) (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))))
(*.f32 (*.f32 (*.f32 s (*.f32 s 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 1 binary32) (+.f32 (*.f32 s (/.f32 s #s(literal 1/4 binary32))) (*.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (/.f32 s #s(literal 1/4 binary32))) (-.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))))
(*.f32 (*.f32 (*.f32 s (*.f32 s 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 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))) #s(literal 1 binary32)))
(*.f32 (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))) (*.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 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) s))
(*.f32 (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))))
(*.f32 (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (*.f32 (*.f32 s (*.f32 s 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 1 binary32) (neg.f32 (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))))))
(*.f32 (neg.f32 (*.f32 (*.f32 s s) (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))))))
(*.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))
(*.f32 (*.f32 s (+.f32 #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 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32))))))
(*.f32 (*.f32 s (-.f32 #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 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))
(*.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 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) #s(literal 4 binary32))))))
(*.f32 (*.f32 (-.f32 #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 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))
(*.f32 (/.f32 s #s(literal -1 binary32)) (+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32)))
(*.f32 (*.f32 (*.f32 s 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 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))))
(*.f32 (exp.f32 (log.f32 s)) (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(*.f32 (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (exp.f32 (log.f32 s)))
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))) #s(literal 1 binary32)) (/.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))))
(*.f32 (/.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) (/.f32 (*.f32 s (+.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32))) (-.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
(*.f32 (/.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) (/.f32 (*.f32 s (+.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 -2 binary32))))
(*.f32 (*.f32 s (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))
(*.f32 (*.f32 (/.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(neg.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(cosh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
(pow.f32 (/.f32 #s(literal 1 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 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))
(/.f32 (neg.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))) #s(literal 2 binary32))
(*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)))
(*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(*.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -1/2 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 (*.f32 x x) #s(literal 0 binary32))) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (+.f32 (*.f32 x x) #s(literal 0 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 (*.f32 x x) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32)) (neg.f32 (*.f32 (fabs.f32 x) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x))))
(/.f32 (neg.f32 (*.f32 (fabs.f32 x) (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal 0 binary32)))
(/.f32 (neg.f32 (*.f32 x x)) (fabs.f32 x))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fabs.f32 x) (*.f32 x x)))) (neg.f32 (+.f32 (*.f32 x x) #s(literal 0 binary32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(*.f32 (fabs.f32 x) #s(literal -1 binary32))
(*.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (fabs.f32 x))
(*.f32 (neg.f32 (*.f32 (fabs.f32 x) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 0 binary32))))
(*.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))

simplify298.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
2712×*-lowering-*.f32
2712×*-lowering-*.f64
1912×+-lowering-+.f64
1912×+-lowering-+.f32
1674×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03746515
112615662
249935507
081175507
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
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(* -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))
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(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
4
(+ 4 (/ (pow (fabs x) 2) (pow s 2)))
(+ 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))))
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4
(+ 4 (/ (pow (fabs x) 2) (pow s 2)))
(+ 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)))))
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(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
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(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1/4 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 (/ (pow (sqrt -1) 2) s))
(* -1 (/ (+ (* -1/16 (/ (* (pow (fabs x) 2) (pow (sqrt -1) 2)) (pow s 2))) (* 1/4 (pow (sqrt -1) 2))) s))
(* -1 (/ (- (+ (* -1/16 (/ (* (pow (sqrt -1) 2) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* 1/4 (pow (sqrt -1) 2))) (* 1/16 (/ (* (pow (fabs x) 2) (pow (sqrt -1) 2)) (pow s 2)))) s))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/16 (/ (* (pow (sqrt -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)) (* -1/64 (/ (* (pow (fabs x) 4) (pow (sqrt -1) 2)) s))) (* -1/16 (* (pow (sqrt -1) 2) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))) (pow s 3))) (* 1/4 (pow (sqrt -1) 2))) (* 1/16 (/ (* (pow (fabs x) 2) (pow (sqrt -1) 2)) (pow s 2)))) 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)))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* 1/2 (sqrt (/ 1 s)))
(+ (* -1/16 (* (sqrt (/ 1 (pow s 5))) (pow (fabs x) 2))) (* 1/2 (sqrt (/ 1 s))))
(+ (* -1/16 (* (sqrt (/ 1 (pow s 5))) (pow (fabs x) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow s 7))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))))) (* 1/2 (sqrt (/ 1 s)))))
(+ (* -1 (* (sqrt (/ 1 (pow s 9))) (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))))) (+ (* -1/16 (* (sqrt (/ 1 (pow s 5))) (pow (fabs x) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow s 7))) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))))) (* 1/2 (sqrt (/ 1 s))))))
(* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (pow s 5))) (/ (* (pow (fabs x) 2) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4))))
(+ (* -1 (/ (+ (* 1/32 (* (sqrt s) (/ (* (pow (fabs x) 2) (sqrt -1)) (sqrt -1/4)))) (* 1/32 (* (sqrt (/ 1 s)) (/ (* (sqrt -1) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (sqrt -1/4))))) (pow s 3))) (* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt s) (/ (* (sqrt -1) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ 1 s)) (/ (* (sqrt -1) (+ (* 1/64 (pow (fabs x) 4)) (* 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)))))))))))) (sqrt -1/4))))) s)) (* 1/32 (* (sqrt s) (/ (* (pow (fabs x) 2) (sqrt -1)) (sqrt -1/4))))) (pow s 3))) (* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
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(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(sqrt (/ 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)
(* s (+ 4 (/ (pow (fabs x) 2) (pow s 2))))
(* s (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
(* s (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))))
(* 4 s)
(* -1 (* s (- (* -1 (/ (pow (fabs x) 2) (pow s 2))) 4)))
(* -1 (* s (- (+ (* -1 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))
(* -1 (* s (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (pow s 3))) (* -1 (/ (pow (fabs x) 2) (pow s 2)))) 4)))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(* 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 (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))
Outputs
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
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#s(literal 2 binary32)
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(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.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 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))) (*.f32 #s(literal -1/2 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 (+ (* -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 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.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 0 binary32) (*.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 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/4 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 (fabs.f32 x) #s(literal -1/2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (+.f32 (*.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/3 binary32)) (fabs.f32 x)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))))) s)) (*.f32 s (*.f32 s s)))))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(* -1 (fabs x))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))

eval243.0ms (1.9%)

Compiler

Compiled 41335 to 3132 computations (92.4% saved)

prune185.0ms (1.4%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New1610111621
Fresh347
Picked055
Done101
Total1614201634
Accuracy
99.6%
Counts
1634 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.0%
(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))
▶28.8%
(pow.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
97.0%
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal 2 binary32))
97.6%
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
99.4%
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
82.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
✓99.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
▶99.4%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
95.5%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
✓95.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
95.5%
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 s #s(literal 4 binary32)))
99.4%
(/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s)
✓99.4%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
97.4%
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (exp.f32 (log.f32 s))))
▶78.6%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
▶40.2%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
99.4%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
✓29.2%
(/.f32 #s(literal 1/4 binary32) s)
▶99.4%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
27.6%
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
Compiler

Compiled 580 to 416 computations (28.3% saved)

simplify186.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
✓cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))
✓cost-diff64
(*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
✓cost-diff128
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
✓cost-diff0
(+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
✓cost-diff64
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
✓cost-diff0
(*.f32 s #s(literal 4 binary32))
✓cost-diff0
(pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32))
✓cost-diff6464
(pow.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 (/.f32 (*.f32 x x) s) s)
✓cost-diff0
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
✓cost-diff64
(*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)))
✓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(literal 1 binary32) s)
✓cost-diff64
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
Rules
2460×+-lowering-+.f64
2460×+-lowering-+.f32
2200×*-lowering-*.f32
2200×*-lowering-*.f64
1624×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042391
1116378
2283371
3696350
42321334
08479334
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(/ 1 s)
1
s
(+ 2 (* 2 (cosh (/ (fabs x) s))))
2
(* 2 (cosh (/ (fabs x) s)))
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(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) s)
(* x x)
x
4
(pow (pow (* s 4) -1/2) 2)
(pow (* s 4) -1/2)
(* s 4)
s
4
-1/2
2
(* (/ 1 (+ (cosh (/ (fabs x) s)) 1)) (/ (/ 1 s) 2))
(/ 1 (+ (cosh (/ (fabs x) s)) 1))
1
(+ (cosh (/ (fabs x) s)) 1)
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
(/ (/ 1 s) 2)
(/ 1 s)
2
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))))
1
(* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))
s
(+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))
(- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s))
(/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)
(- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s))
(fabs x)
x
(/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)
(+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2))
(* -1/6 (/ (* (fabs x) (* x x)) s))
-1/6
(/ (* (fabs x) (* x x)) s)
(* (fabs x) (* x x))
(* x x)
(* (* x x) 1/2)
1/2
(+ (exp (/ (fabs x) s)) 2)
(exp (/ (fabs x) s))
(/ (fabs x) s)
2
Outputs
(/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
1
#s(literal 1 binary32)
s
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
2
#s(literal 2 binary32)
(* 2 (cosh (/ (fabs x) s)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
(/ 1 (* s (+ (/ (/ (* x x) s) s) 4)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
1
#s(literal 1 binary32)
(* s (+ (/ (/ (* x x) s) s) 4))
(+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))
s
(+ (/ (/ (* x x) s) s) 4)
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))
(/ (/ (* x x) s) s)
(/.f32 (/.f32 (*.f32 x x) s) s)
(/ (* x x) s)
(/.f32 (*.f32 x x) s)
(* x x)
(*.f32 x x)
x
4
#s(literal 4 binary32)
(pow (pow (* s 4) -1/2) 2)
(/.f32 #s(literal 1/4 binary32) s)
(pow (* s 4) -1/2)
(pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32))
(* s 4)
(*.f32 s #s(literal 4 binary32))
s
4
#s(literal 4 binary32)
-1/2
#s(literal -1/2 binary32)
2
#s(literal 2 binary32)
(* (/ 1 (+ (cosh (/ (fabs x) s)) 1)) (/ (/ 1 s) 2))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/ 1 (+ (cosh (/ (fabs x) s)) 1))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)
(+ (cosh (/ (fabs x) s)) 1)
(+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
(/ (/ 1 s) 2)
(/.f32 #s(literal 1/2 binary32) s)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
2
#s(literal 2 binary32)
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))))
(/.f32 #s(literal 1 binary32) (-.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/6 binary32)) s) #s(literal -1/2 binary32))) s))))
1
#s(literal 1 binary32)
(* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))
(-.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/6 binary32)) s) #s(literal -1/2 binary32))) s)))
s
(+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))
(-.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/6 binary32)) s) #s(literal -1/2 binary32))) s)) s))
(- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/6 binary32)) s) #s(literal -1/2 binary32))) s)) s))
(/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/6 binary32)) s) #s(literal -1/2 binary32))) s)) s)
(- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s))
(+.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/6 binary32)) s) #s(literal -1/2 binary32))) s))
(fabs x)
(fabs.f32 x)
x
(/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s)
(+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))
(* -1/6 (/ (* (fabs x) (* x x)) s))
(*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (fabs.f32 x))) s))
-1/6
#s(literal -1/6 binary32)
(/ (* (fabs x) (* x x)) s)
(*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s))
(* (fabs x) (* x x))
(*.f32 x (*.f32 x (fabs.f32 x)))
(* x x)
(*.f32 x x)
(* (* x x) 1/2)
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(+ (exp (/ (fabs x) s)) 2)
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
2
#s(literal 2 binary32)

localize248.0ms (1.9%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy92.3%
(/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)
✓accuracy91.9%
(/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)
✓accuracy70.2%
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
✓accuracy59.4%
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))
✓accuracy100.0%
(+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
✓accuracy100.0%
(pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32))
✓accuracy100.0%
(*.f32 s #s(literal 4 binary32))
✓accuracy98.3%
(pow.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
✓accuracy95.7%
(/.f32 (/.f32 (*.f32 x x) s) s)
✓accuracy91.8%
(*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)))
✓accuracy90.4%
(/.f32 (*.f32 x x) s)
✓accuracy100.0%
(fabs.f32 x)
✓accuracy100.0%
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
Results
170.0ms256×0valid
Compiler

Compiled 439 to 43 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 22.0ms (29.5% of total)
ival-mult: 15.0ms (20.1% of total)
ival-add: 9.0ms (12.1% of total)
ival-pow: 9.0ms (12.1% of total)
...c/correct-round.rkt:119:19: 8.0ms (10.7% of total)
ival-cosh: 4.0ms (5.4% of total)
ival-exp: 3.0ms (4% of total)
ival-sub: 3.0ms (4% of total)
ival-fabs: 2.0ms (2.7% of total)
const: 2.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series63.0ms (0.5%)

Counts
24 → 504
Calls
Call 1
Inputs
#<alt (/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s)))))>
#<alt (/ 1 s)>
#<alt (+ 2 (* 2 (cosh (/ (fabs x) s))))>
#<alt (* 2 (cosh (/ (fabs x) s)))>
#<alt (* s (+ (/ (/ (* x x) s) s) 4))>
#<alt (/ 1 (* s (+ (/ (/ (* x x) s) s) 4)))>
#<alt (+ (/ (/ (* x x) s) s) 4)>
#<alt (/ (/ (* x x) s) s)>
#<alt (pow (pow (* s 4) -1/2) 2)>
#<alt (pow (* s 4) -1/2)>
#<alt (* s 4)>
#<alt (* (/ 1 (+ (cosh (/ (fabs x) s)) 1)) (/ (/ 1 s) 2))>
#<alt (/ (/ 1 s) 2)>
#<alt (/ 1 (+ (cosh (/ (fabs x) s)) 1))>
#<alt (+ (cosh (/ (fabs x) s)) 1)>
#<alt (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2))>
#<alt (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))>
#<alt (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))>
#<alt (/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))))>
#<alt (cosh (/ (fabs x) s))>
#<alt (fabs x)>
#<alt (/ (* x x) s)>
#<alt (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)>
#<alt (/ (* (fabs x) (* x 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 (/ 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 (+ 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)))))>
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#<alt 4>
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#<alt 4>
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#<alt (/ 1/4 s)>
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#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (+ (* -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)))))))))) (* -1/32 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (/ 1/2 s)>
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#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt 1/2>
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#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* -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))))) (* -1/32 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/8 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt 1/2>
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#<alt (- (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -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)) (* -1/32 (/ (pow (fabs x) 4) s))) (* -1/8 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
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#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
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#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt 2>
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#<alt (+ 2 (+ (* -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 (+ 2 (+ (* -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 2>
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#<alt (+ 2 (+ (* 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 (+ 2 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))>
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#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))>
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#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) s)>
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#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))>
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#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 (fabs x)) (* s (+ 3 (exp (/ (fabs x) s))))))))) (pow s 2))>
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#<alt (+ (* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))))>
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#<alt (* (pow x 2) (+ (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (pow x 2))))>
#<alt (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))>
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#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))>
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#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))>
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#<alt 4>
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#<alt (- (+ 4 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))))>
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#<alt 4>
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#<alt (* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))>
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#<alt (* (pow s 2) (- (* s (- (* s (- (+ (* 36 (/ 1 (* (pow x 4) (fabs x)))) (* s (- (* 108 (/ 1 (* (pow x 4) (pow (fabs x) 2)))) (+ (* -3 (/ (- (* 36 (/ 1 (* (pow x 4) (fabs x)))) (* 54 (/ 1 (* (pow x 2) (pow (fabs x) 3))))) (fabs x))) (* 36 (/ (+ 3 (exp (/ (fabs x) s))) (* (pow x 4) (pow (fabs x) 2)))))))) (* 54 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))) (* 18 (/ 1 (* (pow x 2) (pow (fabs x) 2)))))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))>
#<alt (/ 1/4 s)>
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#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) 2)) (* 1/384 (pow (fabs x) 4))) (pow s 4)))) (+ (* 1/16 (/ (- (* 1/6 (pow (fabs x) 3)) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 3))) (* 1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2))))) s)>
#<alt (/ 1/4 s)>
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#<alt (* -1 (/ (- (+ (* -1/16 (/ (- (* -1/6 (pow (fabs x) 3)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 3))) (* 1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) 2)) (* 1/384 (pow (fabs x) 4))) s)) (* 1/16 (- (* -1/6 (pow (fabs x) 3)) (* -1/6 (* (pow x 2) (fabs x)))))) (pow s 3))) (* 1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2)))) 1/4) s))>
#<alt (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))))>
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#<alt (+ (* (pow x 2) (- (/ (* (pow x 2) (* (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))))) (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))) (* -1 (/ (* (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))) (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))))) (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))>
#<alt (/ 1 (* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))))>
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#<alt (/ (- (+ (* -1 (/ (* (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 4) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (+ (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (* (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 6) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (+ (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (* (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 4) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))))) (pow x 2))>
#<alt (/ 1 (* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))))>
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#<alt (/ (- (+ (* -1 (/ (* (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 4) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (+ (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (* (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 6) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (+ (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (* (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 4) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))))) (pow x 2))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
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#<alt 1>
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#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
#<alt (/ (* (pow x 2) (fabs x)) s)>
Calls

126 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))
3.0ms
s
@0
(* s (+ (/ (/ (* x x) s) s) 4))
3.0ms
s
@-inf
(/ (/ 1 s) 2)
3.0ms
s
@inf
(+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2))
2.0ms
x
@inf
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))))

rewrite355.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
2812×*-lowering-*.f32
2812×*-lowering-*.f64
2180×fma-lowering-fma.f32
2180×fma-lowering-fma.f64
2038×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042250
1306232
22811228
08463228
Stop Event
1×iter limit
1×node limit
Counts
24 → 572
Calls
Call 1
Inputs
(/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(/ 1 s)
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(* 2 (cosh (/ (fabs x) s)))
(* s (+ (/ (/ (* x x) s) s) 4))
(/ 1 (* s (+ (/ (/ (* x x) s) s) 4)))
(+ (/ (/ (* x x) s) s) 4)
(/ (/ (* x x) s) s)
(pow (pow (* s 4) -1/2) 2)
(pow (* s 4) -1/2)
(* s 4)
(* (/ 1 (+ (cosh (/ (fabs x) s)) 1)) (/ (/ 1 s) 2))
(/ (/ 1 s) 2)
(/ 1 (+ (cosh (/ (fabs x) s)) 1))
(+ (cosh (/ (fabs x) s)) 1)
(+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2))
(* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))
(+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))))
(cosh (/ (fabs x) s))
(fabs x)
(/ (* x x) s)
(/ (+ (* -1/6 (/ (* (fabs x) (* x x)) s)) (* (* x x) 1/2)) s)
(/ (* (fabs x) (* x x)) s)
Outputs
(neg.f32 (/.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)))))))
(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)))
(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) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 s #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) 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 #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) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) 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 (/.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 (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32)))
(/.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 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s #s(literal 2 binary32)))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 s #s(literal 2 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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 (+.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) (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 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)))
(/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 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 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)) (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal -2 binary32))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 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) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.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 (/.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 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1/2 binary32))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (+.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal -1 binary32))) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) s))
(neg.f32 (/.f32 #s(literal -1 binary32) s))
(exp.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 s)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 s)) (*.f32 #s(literal -1/2 binary32) (log.f32 s))))
(pow.f32 s #s(literal -1 binary32))
(pow.f32 (pow.f32 s #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 s s) #s(literal -1/2 binary32))
(pow.f32 (neg.f32 (neg.f32 s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (log.f32 s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal -1 binary32) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) s))
(*.f32 (pow.f32 s #s(literal -1/2 binary32)) (pow.f32 s #s(literal -1/2 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)))))
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(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) #s(literal -1 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)) (*.f32 (log.f32 (fabs.f32 x)) #s(literal 3 binary32))))
(exp.f32 (+.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 3 binary32)) (*.f32 (log.f32 s) #s(literal -1 binary32))))
(pow.f32 (/.f32 s (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) #s(literal 1 binary32)))
(/.f32 (fabs.f32 x) (/.f32 s (*.f32 x x)))
(/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 1 binary32)) s)
(/.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (/.f32 s (*.f32 x x)))
(/.f32 (*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal -1 binary32)) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) #s(literal -1 binary32)))
(*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s))
(*.f32 (*.f32 x x) (/.f32 (fabs.f32 x) s))
(*.f32 (/.f32 (*.f32 x x) s) (fabs.f32 x))
(*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (/.f32 #s(literal -1 binary32) s))
(*.f32 (*.f32 x (fabs.f32 x)) (/.f32 x s))
(*.f32 (*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))

simplify357.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4300×*-lowering-*.f32
4300×*-lowering-*.f64
3232×+-lowering-+.f64
3232×+-lowering-+.f32
1754×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06259403
121098016
084338016
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
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)))))))
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
4
(+ 4 (/ (pow (fabs x) 2) (pow s 2)))
(+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))
(+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))
4
(+ 4 (/ (pow (fabs x) 2) (pow s 2)))
(+ 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)))))
(+ 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))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))
2
(+ 2 (/ (pow (fabs x) 2) (pow s 2)))
(+ 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))))
(+ 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)))))
2
(+ 2 (/ (pow (fabs x) 2) (pow s 2)))
(+ 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)))))
(+ 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))))
(/ (pow x 2) s)
(/ (+ (* 4 (pow s 2)) (pow x 2)) s)
(/ (+ (* 4 (pow s 2)) (pow x 2)) s)
(/ (+ (* 4 (pow s 2)) (pow x 2)) s)
(* 4 s)
(* s (+ 4 (/ (pow x 2) (pow s 2))))
(* s (+ 4 (/ (pow x 2) (pow s 2))))
(* s (+ 4 (/ (pow x 2) (pow s 2))))
(* 4 s)
(* -1 (* s (- (* -1 (/ (pow x 2) (pow s 2))) 4)))
(* -1 (* s (- (* -1 (/ (pow x 2) (pow s 2))) 4)))
(* -1 (* s (- (* -1 (/ (pow x 2) (pow s 2))) 4)))
(* 4 s)
(+ (* 4 s) (/ (pow x 2) s))
(+ (* 4 s) (/ (pow x 2) s))
(+ (* 4 s) (/ (pow x 2) s))
(/ (pow x 2) s)
(* (pow x 2) (+ (* 4 (/ s (pow x 2))) (/ 1 s)))
(* (pow x 2) (+ (* 4 (/ s (pow x 2))) (/ 1 s)))
(* (pow x 2) (+ (* 4 (/ s (pow x 2))) (/ 1 s)))
(/ (pow x 2) s)
(* (pow x 2) (+ (* 4 (/ s (pow x 2))) (/ 1 s)))
(* (pow x 2) (+ (* 4 (/ s (pow x 2))) (/ 1 s)))
(* (pow x 2) (+ (* 4 (/ s (pow x 2))) (/ 1 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)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))
(* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/256 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))
(/ 1/4 s)
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
(+ (* (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)))
(/ s (pow x 2))
(/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))
(/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))
(/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))
(/ s (pow x 2))
(/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))
(/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))
(/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))
4
(+ 4 (/ (pow x 2) (pow s 2)))
(+ 4 (/ (pow x 2) (pow s 2)))
(+ 4 (/ (pow x 2) (pow s 2)))
(/ (pow x 2) (pow s 2))
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))
(/ (pow x 2) (pow s 2))
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))
(/ (pow x 2) (pow s 2))
(/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))
(/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))
(/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))
4
(+ 4 (/ (pow x 2) (pow s 2)))
(+ 4 (/ (pow x 2) (pow s 2)))
(+ 4 (/ (pow x 2) (pow s 2)))
4
(+ 4 (/ (pow x 2) (pow s 2)))
(+ 4 (/ (pow x 2) (pow s 2)))
(+ 4 (/ (pow x 2) (pow s 2)))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(* -1 (/ (pow (sqrt -1/4) 2) s))
(* -1 (/ (pow (sqrt -1/4) 2) s))
(* -1 (/ (pow (sqrt -1/4) 2) s))
(* -1 (/ (pow (sqrt -1/4) 2) s))
(* 1/2 (sqrt (/ 1 s)))
(* 1/2 (sqrt (/ 1 s)))
(* 1/2 (sqrt (/ 1 s)))
(* 1/2 (sqrt (/ 1 s)))
(* 1/2 (sqrt (/ 1 s)))
(* 1/2 (sqrt (/ 1 s)))
(* 1/2 (sqrt (/ 1 s)))
(* 1/2 (sqrt (/ 1 s)))
(* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4)))
(* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4)))
(* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4)))
(* (sqrt (/ 1 s)) (* (sqrt -1) (sqrt -1/4)))
(* 4 s)
(* 4 s)
(* 4 s)
(* 4 s)
(* 4 s)
(* 4 s)
(* 4 s)
(* 4 s)
(* 4 s)
(* 4 s)
(* 4 s)
(* 4 s)
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (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 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))) s)
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(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (+ (* -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)))))))))) (* -1/32 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))
(/ 1/2 s)
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1/2
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1/2
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2
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2
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(* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))
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(* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))
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(* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s))))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
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(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
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(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 (fabs x)) (* s (+ 3 (exp (/ (fabs x) s))))))))) (pow s 2))
(* 4 s)
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(* s (- (+ 4 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))))
(* s (- (+ 4 (+ (* 1/24 (/ (pow (fabs x) 4) (pow s 4))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))))
(* 4 s)
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(* -1 (* s (- (+ (* -1 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2))) (* -1/6 (/ (pow (fabs x) 3) (pow s 3)))) (+ 4 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))))))
(* -1 (* s (- (+ (* -1 (/ (+ (* -1 (- (* -1/6 (pow (fabs x) 3)) (* -1/6 (* (pow x 2) (fabs x))))) (* 1/24 (/ (pow (fabs x) 4) s))) (pow s 3))) (* -1 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2)))) 4)))
(* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))
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(+ (* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))))
(+ (* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))))
(* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))
(* (pow x 2) (+ (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (pow x 2))))
(* (pow x 2) (+ (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (pow x 2))))
(* (pow x 2) (+ (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (pow x 2))))
(* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))
(* (pow x 2) (+ (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (pow x 2))))
(* (pow x 2) (+ (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (pow x 2))))
(* (pow x 2) (+ (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (pow x 2))))
(- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))
(- (+ 3 (+ (exp (/ (fabs x) s)) (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (/ (fabs x) s))
(- (+ 3 (+ (exp (/ (fabs x) s)) (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (/ (fabs x) s))
(- (+ 3 (+ (exp (/ (fabs x) s)) (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (/ (fabs x) s))
(* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 1/2 (/ 1 (pow s 2))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2))))) (/ (fabs x) (* s (pow x 2)))))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* 1/2 (pow x 2)) (* s (- (* s (+ 3 (exp (/ (fabs x) s)))) (fabs x)))))) (pow s 3))
4
(- (+ 4 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) (* -1/2 (/ (pow x 2) (pow s 2))))
(- (+ 4 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))))
(- (+ 4 (+ (* 1/24 (/ (pow (fabs x) 4) (pow s 4))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))))
4
(- (+ 4 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) (* -1/2 (/ (pow x 2) (pow s 2))))
(- (+ 4 (+ (* -1 (/ (- (* -1/6 (pow (fabs x) 3)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) (* -1/2 (/ (pow x 2) (pow s 2))))
(- (+ 4 (+ (* -1 (/ (- (+ (* -1/6 (pow (fabs x) 3)) (* -1/24 (/ (pow (fabs x) 4) s))) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) (* -1/2 (/ (pow x 2) (pow s 2))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* (pow s 2) (- (* -18 (/ s (* (pow x 2) (pow (fabs x) 2)))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))
(* (pow s 2) (- (* s (- (* s (- (* 36 (/ 1 (* (pow x 4) (fabs x)))) (* 54 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))) (* 18 (/ 1 (* (pow x 2) (pow (fabs x) 2)))))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))
(* (pow s 2) (- (* s (- (* s (- (+ (* 36 (/ 1 (* (pow x 4) (fabs x)))) (* s (- (* 108 (/ 1 (* (pow x 4) (pow (fabs x) 2)))) (+ (* -3 (/ (- (* 36 (/ 1 (* (pow x 4) (fabs x)))) (* 54 (/ 1 (* (pow x 2) (pow (fabs x) 3))))) (fabs x))) (* 36 (/ (+ 3 (exp (/ (fabs x) s))) (* (pow x 4) (pow (fabs x) 2)))))))) (* 54 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))) (* 18 (/ 1 (* (pow x 2) (pow (fabs x) 2)))))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2)))) s)
(/ (- (+ 1/4 (* -1/16 (/ (- (* 1/6 (pow (fabs x) 3)) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 3)))) (* 1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2)))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) 2)) (* 1/384 (pow (fabs x) 4))) (pow s 4)))) (+ (* 1/16 (/ (- (* 1/6 (pow (fabs x) 3)) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 3))) (* 1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1/16 (/ (- (* -1/6 (pow (fabs x) 3)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 3))) (* 1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2)))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) 2)) (* 1/384 (pow (fabs x) 4))) s)) (* 1/16 (- (* -1/6 (pow (fabs x) 3)) (* -1/6 (* (pow x 2) (fabs x)))))) (pow s 3))) (* 1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2)))) 1/4) s))
(/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))))
(+ (* -1 (* (pow x 2) (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))))) (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))
(+ (* (pow x 2) (- (/ (* (pow x 2) (* (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))))) (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))) (* -1 (/ (* (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))) (+ (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2))))))) (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))
(/ 1 (* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))))
(/ (- (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (pow x 2))
(/ (- (+ (* -1 (/ (* (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 4) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (pow x 2))
(/ (- (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (+ (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (* (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 6) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (+ (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (* (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 4) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))))) (pow x 2))
(/ 1 (* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))))
(/ (- (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (pow x 2))
(/ (- (+ (* -1 (/ (* (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 4) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (pow x 2))
(/ (- (+ (/ 1 (* s (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))) (+ (/ (fabs x) (* (pow s 2) (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (* (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 6) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))))) (+ (/ 3 (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (+ (/ (exp (/ (fabs x) s)) (* s (* (pow x 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (* (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) (- (/ (fabs x) (* (pow s 2) (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2))) (+ (* 3 (/ 1 (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))) (/ (exp (/ (fabs x) s)) (* s (pow (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) 2)))))) (* (pow x 4) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))))) (pow x 2))
(* 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)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
(/ (* (pow x 2) (fabs x)) s)
Outputs
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 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 #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 (* (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 #s(literal 1/4 binary32) (/.f32 (+.f32 (*.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 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1/3 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) (*.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 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/16 binary32))) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) #s(literal -1/32 binary32))) (*.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 (/ (+ (* 1/2 (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 #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)) (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))
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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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#s(literal 2 binary32)
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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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(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
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(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) #s(literal -1/4 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/2 binary32)))) (*.f32 s (*.f32 s s))) (+.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 (* (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 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) (+.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1/3 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (+.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) #s(literal -1/4 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) s)) (*.f32 s (*.f32 s s)))))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (* (pow x 2) (+ 1/2 (* -1/6 (/ (fabs x) s)))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s s))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s s))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(/ (+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s))
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)
(/ (* (pow x 2) (fabs x)) s)
(/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s)

eval124.0ms (1%)

Compiler

Compiled 33581 to 2986 computations (91.1% saved)

prune129.0ms (1%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New1176221198
Fresh5510
Picked505
Done055
Total1186321218
Accuracy
99.6%
Counts
1218 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.0%
(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))
97.0%
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal 2 binary32))
97.6%
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
99.4%
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
✓99.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
78.6%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)))
99.4%
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
95.5%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
▶43.6%
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))) (*.f32 x x))
56.6%
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
✓95.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
▶46.2%
(/.f32 s (*.f32 x x))
21.7%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 #s(literal 64 binary32) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
68.0%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) s))
56.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)))
47.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
70.7%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
✓99.4%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
37.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))))
82.4%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) (*.f32 s s))))
▶59.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))))
61.7%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s))))
▶78.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))))
78.6%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))))
78.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
81.7%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))))
85.8%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))))
99.4%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
✓29.2%
(/.f32 #s(literal 1/4 binary32) s)
20.5%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 s (/.f32 (*.f32 x x) s))))))
99.4%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) s))
▶99.4%
(*.f32 (exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
Compiler

Compiled 1130 to 680 computations (39.8% saved)

simplify236.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))
✓cost-diff0
(/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))))
✓cost-diff128
(*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))))
✓cost-diff0
(*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s)
✓cost-diff0
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))
✓cost-diff0
(+.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x)))
✓cost-diff0
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))) (*.f32 x x))
✓cost-diff0
(/.f32 (*.f32 (/.f32 x s) x) s)
✓cost-diff0
(+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))))
✓cost-diff64
(*.f32 s (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32)))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(/.f32 s (*.f32 x x))
✓cost-diff32
(*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
✓cost-diff64
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
✓cost-diff64
(*.f32 (exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
✓cost-diff6304
(exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)))
Rules
3972×*-lowering-*.f32
3972×*-lowering-*.f64
2498×/-lowering-/.f32
2498×/-lowering-/.f64
1168×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038226
1114209
2312202
31063195
43921195
54146195
64397195
74856195
86537195
08224195
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (exp (* (log (+ 1 (cosh (/ (fabs x) s)))) -1)) (/ (/ 1 s) 2))
(exp (* (log (+ 1 (cosh (/ (fabs x) s)))) -1))
(* (log (+ 1 (cosh (/ (fabs x) s)))) -1)
(log (+ 1 (cosh (/ (fabs x) s))))
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
-1
(/ (/ 1 s) 2)
(/ 1 s)
1
2
(/ s (* x x))
s
(* x x)
x
(/ 1 (* s (+ (/ (* (/ x s) x) s) 4)))
1
(* s (+ (/ (* (/ x s) x) s) 4))
s
(+ (/ (* (/ x s) x) s) 4)
(/ (* (/ x s) x) s)
(* (/ x s) x)
(/ x s)
x
4
(/ (+ s (/ (* (* (* s s) -4) s) (* x x))) (* x x))
(+ s (/ (* (* (* s s) -4) s) (* x x)))
s
(/ (* (* (* s s) -4) s) (* x x))
(* (* (* s s) -4) s)
(* (* s s) -4)
(* s s)
-4
(* x x)
x
(/ 1 (* s (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s)))))
1
(* s (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s))))
s
(/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s)))
(* (fabs x) (* -1/6 (* x x)))
(fabs x)
x
(* -1/6 (* x x))
-1/6
(* x x)
(* s (* s s))
(* s s)
Outputs
(* (exp (* (log (+ 1 (cosh (/ (fabs x) s)))) -1)) (/ (/ 1 s) 2))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(exp (* (log (+ 1 (cosh (/ (fabs x) s)))) -1))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(* (log (+ 1 (cosh (/ (fabs x) s)))) -1)
(neg.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))
(log (+ 1 (cosh (/ (fabs x) s))))
(log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
-1
#s(literal -1 binary32)
(/ (/ 1 s) 2)
(/.f32 #s(literal 1/2 binary32) s)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
1
#s(literal 1 binary32)
2
#s(literal 2 binary32)
(/ s (* x x))
(/.f32 s (*.f32 x x))
s
(* x x)
(*.f32 x x)
x
(/ 1 (* s (+ (/ (* (/ x s) x) s) 4)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
1
#s(literal 1 binary32)
(* s (+ (/ (* (/ x s) x) s) 4))
(+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))
s
(+ (/ (* (/ x s) x) s) 4)
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))
(/ (* (/ x s) x) s)
(/.f32 (/.f32 (*.f32 x x) s) s)
(* (/ x s) x)
(/.f32 (*.f32 x x) s)
(/ x s)
(/.f32 x s)
x
4
#s(literal 4 binary32)
(/ (+ s (/ (* (* (* s s) -4) s) (* x x))) (* x x))
(/.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal -4 binary32))) (*.f32 x x)))) (*.f32 x x))
(+ s (/ (* (* (* s s) -4) s) (* x x)))
(*.f32 s (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal -4 binary32))) (*.f32 x x))))
s
(/ (* (* (* s s) -4) s) (* x x))
(/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 x x))
(* (* (* s s) -4) s)
(*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32))))
(* (* s s) -4)
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* s s)
(*.f32 s s)
-4
#s(literal -4 binary32)
(* x x)
(*.f32 x x)
x
(/ 1 (* s (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s)))))
(/.f32 s (/.f32 (*.f32 x (*.f32 x (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)))) s))
1
#s(literal 1 binary32)
(* s (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s))))
(/.f32 (*.f32 x (*.f32 x (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)))) (*.f32 s s))
s
(/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
(* (fabs x) (* -1/6 (* x x)))
(*.f32 x (*.f32 x (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))))
(fabs x)
(fabs.f32 x)
x
(* -1/6 (* x x))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
-1/6
#s(literal -1/6 binary32)
(* x x)
(*.f32 x x)
(* s (* s s))
(*.f32 s (*.f32 s s))
(* s s)
(*.f32 s s)

localize641.0ms (5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))))
✓accuracy99.8%
(*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))))
✓accuracy99.8%
(*.f32 s (*.f32 s s))
✓accuracy81.2%
(/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))
✓accuracy99.9%
(*.f32 (*.f32 s s) #s(literal -4 binary32))
✓accuracy99.8%
(*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s)
✓accuracy95.0%
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))) (*.f32 x x))
✓accuracy81.8%
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))))
✓accuracy99.9%
(*.f32 s (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32)))
✓accuracy99.8%
(*.f32 (/.f32 x s) x)
✓accuracy95.7%
(/.f32 (*.f32 (/.f32 x s) x) s)
✓accuracy100.0%
(*.f32 x x)
✓accuracy92.4%
(/.f32 s (*.f32 x x))
✓accuracy99.8%
(exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)))
✓accuracy99.8%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.6%
(*.f32 (exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
✓accuracy92.3%
(log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))
Results
509.0ms160×5exit
53.0ms96×0valid
Compiler

Compiled 267 to 38 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 298.0ms
backward-pass: 75.0ms (25.2% of total)
ival-mult: 55.0ms (18.5% of total)
ival-cosh: 52.0ms (17.5% of total)
ival-div: 48.0ms (16.1% of total)
compiled-spec: 19.0ms (6.4% of total)
ival-exp: 16.0ms (5.4% of total)
ival-fabs: 11.0ms (3.7% of total)
...c/correct-round.rkt:119:19: 8.0ms (2.7% of total)
ival-add: 7.0ms (2.4% of total)
ival-log: 5.0ms (1.7% of total)
const: 2.0ms (0.7% of total)

series163.0ms (1.3%)

Counts
23 → 480
Calls
Call 1
Inputs
#<alt (exp (* (log (+ 1 (cosh (/ (fabs x) s)))) -1))>
#<alt (* (exp (* (log (+ 1 (cosh (/ (fabs x) s)))) -1)) (/ (/ 1 s) 2))>
#<alt (/ (/ 1 s) 2)>
#<alt (* (log (+ 1 (cosh (/ (fabs x) s)))) -1)>
#<alt (/ s (* x x))>
#<alt (* x x)>
#<alt (* s (+ (/ (* (/ x s) x) s) 4))>
#<alt (/ 1 (* s (+ (/ (* (/ x s) x) s) 4)))>
#<alt (+ (/ (* (/ x s) x) s) 4)>
#<alt (/ (* (/ x s) x) s)>
#<alt (/ (+ s (/ (* (* (* s s) -4) s) (* x x))) (* x x))>
#<alt (+ s (/ (* (* (* s s) -4) s) (* x x)))>
#<alt (/ (* (* (* s s) -4) s) (* x x))>
#<alt (* (* (* s s) -4) s)>
#<alt (* s (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s))))>
#<alt (/ 1 (* s (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s)))))>
#<alt (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s)))>
#<alt (* (fabs x) (* -1/6 (* x x)))>
#<alt (log (+ 1 (cosh (/ (fabs x) s))))>
#<alt (cosh (/ (fabs x) s))>
#<alt (* (/ x s) x)>
#<alt (* (* s s) -4)>
#<alt (* s (* s s))>
Outputs
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/2 (* 1/8 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* -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))))) (* -1/32 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/8 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/2 (* -1/8 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -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)) (* -1/32 (/ (pow (fabs x) 4) s))) (* -1/8 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))>
#<alt (/ 1/2 (* s (+ 1 (* 1/2 (+ (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 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))) s)>
#<alt (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/8 (+ (* -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))))) (* -1/32 (pow (fabs x) 4))) (pow s 4))) (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))) 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))>
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#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (* -1/6 (* (pow x 2) (fabs x)))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ (log 2) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ (log 2) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ (log 2) (+ (* 1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ (log 2) (+ (* -1 (/ (+ (* -1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* -1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (* -4 (pow s 2))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
Calls

120 calls:

TimeVariablePointExpression
53.0ms
x
@inf
(* (log (+ 1 (cosh (/ (fabs x) s)))) -1)
46.0ms
x
@0
(* (log (+ 1 (cosh (/ (fabs x) s)))) -1)
22.0ms
x
@-inf
(* (log (+ 1 (cosh (/ (fabs x) s)))) -1)
7.0ms
s
@0
(* (log (+ 1 (cosh (/ (fabs x) s)))) -1)
3.0ms
x
@inf
(exp (* (log (+ 1 (cosh (/ (fabs x) s)))) -1))

rewrite369.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
4650×/-lowering-/.f32
4650×/-lowering-/.f64
3556×*-lowering-*.f32
3556×*-lowering-*.f64
1518×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038183
1218165
21636161
08601161
Stop Event
1×iter limit
1×node limit
Counts
23 → 738
Calls
Call 1
Inputs
(exp (* (log (+ 1 (cosh (/ (fabs x) s)))) -1))
(* (exp (* (log (+ 1 (cosh (/ (fabs x) s)))) -1)) (/ (/ 1 s) 2))
(/ (/ 1 s) 2)
(* (log (+ 1 (cosh (/ (fabs x) s)))) -1)
(/ s (* x x))
(* x x)
(* s (+ (/ (* (/ x s) x) s) 4))
(/ 1 (* s (+ (/ (* (/ x s) x) s) 4)))
(+ (/ (* (/ x s) x) s) 4)
(/ (* (/ x s) x) s)
(/ (+ s (/ (* (* (* s s) -4) s) (* x x))) (* x x))
(+ s (/ (* (* (* s s) -4) s) (* x x)))
(/ (* (* (* s s) -4) s) (* x x))
(* (* (* s s) -4) s)
(* s (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s))))
(/ 1 (* s (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s)))))
(/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s)))
(* (fabs x) (* -1/6 (* x x)))
(log (+ 1 (cosh (/ (fabs x) s))))
(cosh (/ (fabs x) s))
(* (/ x s) x)
(* (* s s) -4)
(* s (* s s))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (neg.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s))) #s(literal -1 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 s #s(literal 2 binary32)) (+.f32 #s(literal 1 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 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s #s(literal 2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s)) #s(literal 2 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s))) #s(literal -2 binary32))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)) (*.f32 s #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 s #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 (*.f32 s #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))) (neg.f32 (*.f32 s #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32))
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(*.f32 (/.f32 (fabs.f32 x) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))
(*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (/.f32 (fabs.f32 x) (*.f32 s s)))
(*.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) (*.f32 s s)))
(*.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) (*.f32 s s)) (/.f32 x (/.f32 s x)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)))
(*.f32 (pow.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 s s) (fabs.f32 x)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 s s) (fabs.f32 x)) #s(literal -1 binary32)) (pow.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))) #s(literal -1 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))
(*.f32 (pow.f32 (/.f32 (*.f32 s s) (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))) #s(literal -1 binary32)) (/.f32 x (/.f32 s x)))
(*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (fabs.f32 x)))
(*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (fabs.f32 x))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (fabs.f32 x)))
(*.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) (*.f32 x x))
(*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/6 binary32))
(*.f32 (*.f32 (fabs.f32 x) (*.f32 x #s(literal -1/6 binary32))) x)
(*.f32 (*.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) x) x)
(log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (neg.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(+.f32 (log1p.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))))))
(+.f32 (log1p.f32 (neg.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(-.f32 (log1p.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (log1p.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (log1p.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (+.f32 (*.f32 (log1p.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))) (*.f32 (log1p.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (log1p.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (neg.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (+.f32 (*.f32 (log1p.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))) (log1p.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (log1p.f32 (neg.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
(log.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(cosh.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(pow.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 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 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (*.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 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32))
(*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(exp.f32 (+.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 s) #s(literal -1 binary32))))
(pow.f32 (/.f32 s (*.f32 x x)) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (-.f32 #s(literal 0 binary32) (*.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(literal 1 binary32) (/.f32 (/.f32 s x) (*.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (*.f32 x #s(literal 1 binary32))))
(/.f32 x (/.f32 s x))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 x x) s)
(/.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))
(/.f32 (neg.f32 x) (neg.f32 (/.f32 s x)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (neg.f32 s))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) x) (/.f32 s x))
(/.f32 (*.f32 x #s(literal 1 binary32)) (/.f32 s x))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) x)) (neg.f32 (/.f32 s x)))
(/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 s x)))
(*.f32 x (/.f32 x s))
(*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x s) x)
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(*.f32 (*.f32 s s) #s(literal -4 binary32))
(*.f32 #s(literal -4 binary32) (*.f32 s s))
(*.f32 (*.f32 s #s(literal -4 binary32)) s)
(exp.f32 (*.f32 (log.f32 s) #s(literal 3 binary32)))
(pow.f32 s #s(literal 3 binary32))
(pow.f32 (*.f32 s s) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 s #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 s)) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(/.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) #s(literal -1 binary32))
(*.f32 s (*.f32 s s))
(*.f32 (*.f32 s s) s)
(*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))
(*.f32 (pow.f32 s #s(literal 3/2 binary32)) (pow.f32 s #s(literal 3/2 binary32)))

simplify336.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4190×*-lowering-*.f32
4190×*-lowering-*.f64
2320×+-lowering-+.f64
2320×+-lowering-+.f32
1212×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03586005
111565078
242754541
093464541
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
1/2
(+ 1/2 (* -1/8 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/2 (* 1/8 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* -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))))) (* -1/32 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/8 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))
1/2
(+ 1/2 (* -1/8 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/2 (* -1/8 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -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)) (* -1/32 (/ (pow (fabs x) 4) s))) (* -1/8 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (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 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))) s)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/8 (+ (* -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))))) (* -1/32 (pow (fabs x) 4))) (pow s 4))) (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))) 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 (/ (+ (* -1/2 (/ (+ (* -1/8 (+ (* -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)))))))))) (* -1/32 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(* -1 (log 2))
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(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
1
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
1
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(* -4 (pow s 2))
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
Outputs
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1 (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/8 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s)))
(- (+ 1/2 (* 1/8 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* -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))))) (* -1/32 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/8 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)) (*.f32 (neg.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal -1/3 binary32))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))) (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (pow.f32 s #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/8 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s)))
(- (+ 1/2 (* -1/8 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s)))
(- (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -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)) (* -1/32 (/ (pow (fabs x) 4) s))) (* -1/8 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))) s) (+.f32 (/.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s)))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))))
(/ 1/2 (* s (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (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 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))))) s)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/8 (+ (* -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))))) (* -1/32 (pow (fabs x) 4))) (pow s 4))) (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)) (*.f32 (neg.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal -1/3 binary32))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))) (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) (pow.f32 s #s(literal 4 binary32)))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
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(log1p.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))))
(log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log1p.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))))
(log (+ 1 (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(log1p.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 s s)))
(+ (log 2) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 s s))))
(+ (log 2) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 s s)))) (/.f32 (*.f32 (+.f32 (*.f32 (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)) (*.f32 (neg.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal -1/3 binary32))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) #s(literal -6 binary32)) (*.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) #s(literal 1/24 binary32)) (pow.f32 s #s(literal 4 binary32))))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 s s)))
(+ (log 2) (+ (* 1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 s s))))
(+ (log 2) (+ (* -1 (/ (+ (* -1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* -1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) (+.f32 (*.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)))))) #s(literal -6 binary32)))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 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 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)) (*.f32 (neg.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal -1/3 binary32))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))) (pow.f32 s #s(literal 4 binary32))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))) s) #s(literal 0 binary32)) (*.f32 s (*.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)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(* -4 (pow s 2))
(*.f32 s (*.f32 s #s(literal -4 binary32)))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))

eval176.0ms (1.4%)

Compiler

Compiled 26946 to 2985 computations (88.9% saved)

prune153.0ms (1.2%)

Pruning

38 alts after pruning (32 fresh and 6 done)

PrunedKeptTotal
New1259191278
Fresh91322
Picked415
Done055
Total1272381310
Accuracy
99.6%
Counts
1310 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.0%
(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))
97.0%
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal 2 binary32))
97.6%
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
99.4%
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
50.8%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
44.4%
(/.f32 (/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 s #s(literal -4 binary32))) (/.f32 x (/.f32 s x)))) x) x)
64.8%
(/.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 x x)) (*.f32 x x))
46.4%
(/.f32 (/.f32 s x) x)
✓99.4%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
46.4%
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
78.6%
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)))
99.4%
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
95.5%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
19.4%
(/.f32 (-.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))) (neg.f32 s))
18.5%
(/.f32 (+.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 s (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)))
56.5%
(/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))
✓95.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
✓46.2%
(/.f32 s (*.f32 x x))
47.3%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)))
21.4%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) (*.f32 (/.f32 x (/.f32 s x)) (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 64 binary32))) (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
29.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal -16 binary32)) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32))))
47.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
47.3%
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
70.7%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
✓99.4%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
53.0%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) x) x) (/.f32 #s(literal 1 binary32) s))))
20.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))))
61.7%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s))))
78.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))))
78.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
85.8%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))))
99.4%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
✓29.2%
(/.f32 #s(literal 1/4 binary32) s)
99.4%
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
46.4%
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
99.4%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) s))
19.4%
(*.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))) s) (+.f32 (/.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
99.4%
(*.f32 (exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) s))
Compiler

Compiled 2134 to 789 computations (63% saved)

regimes138.0ms (1.1%)

Counts
66 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 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 (/.f32 x s) x) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) 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 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 x x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) x) x) (/.f32 #s(literal 1 binary32) s))))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 s #s(literal -4 binary32))) (/.f32 x (/.f32 s x)))) x) x)
(/.f32 (+.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 s (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal -16 binary32)) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 s (/.f32 (*.f32 x x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) (*.f32 (/.f32 x (/.f32 s x)) (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 64 binary32))) (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 #s(literal 64 binary32) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 (-.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))) (neg.f32 s))
(*.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))) s) (+.f32 (/.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.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 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 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 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))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
(*.f32 (exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 (exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s)
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s)
(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))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log.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 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (exp.f32 (log.f32 s))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) 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 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 binary32)))) s) (+.f32 (-.f32 (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))))) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32))))))
Outputs
(*.f32 (exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) s))
Calls

5 calls:

44.0ms
(neg.f32 (fabs.f32 x))
31.0ms
x
21.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
17.0ms
s
17.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1s
99.4%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.4%1(neg.f32 (fabs.f32 x))
99.4%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes101.0ms (0.8%)

Counts
51 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 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 (/.f32 x s) x) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) 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 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 x x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) x) x) (/.f32 #s(literal 1 binary32) s))))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 s #s(literal -4 binary32))) (/.f32 x (/.f32 s x)))) x) x)
(/.f32 (+.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 s (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal -16 binary32)) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 s (/.f32 (*.f32 x x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) (*.f32 (/.f32 x (/.f32 s x)) (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 64 binary32))) (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 #s(literal 64 binary32) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 (-.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))) (neg.f32 s))
(*.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))) s) (+.f32 (/.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.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 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 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 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))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
Calls

4 calls:

24.0ms
(neg.f32 (fabs.f32 x))
22.0ms
s
13.0ms
x
13.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1s
99.4%1(fabs.f32 x)
99.4%1(neg.f32 (fabs.f32 x))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes85.0ms (0.7%)

Counts
50 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 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 (/.f32 x s) x) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) 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 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 x x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) x) x) (/.f32 #s(literal 1 binary32) s))))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 s #s(literal -4 binary32))) (/.f32 x (/.f32 s x)))) x) x)
(/.f32 (+.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 s (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal -16 binary32)) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 s (/.f32 (*.f32 x x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) (*.f32 (/.f32 x (/.f32 s x)) (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 64 binary32))) (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 #s(literal 64 binary32) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 (-.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))) (neg.f32 s))
(*.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))) s) (+.f32 (/.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.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 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 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 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))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
Outputs
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
Calls

4 calls:

33.0ms
(neg.f32 (fabs.f32 x))
18.0ms
x
14.0ms
s
13.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1s
99.4%1(neg.f32 (fabs.f32 x))
99.4%1(fabs.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes67.0ms (0.5%)

Counts
44 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 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 (/.f32 x s) x) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) 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 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 x x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) x) x) (/.f32 #s(literal 1 binary32) s))))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 s #s(literal -4 binary32))) (/.f32 x (/.f32 s x)))) x) x)
(/.f32 (+.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 s (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal -16 binary32)) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 s (/.f32 (*.f32 x x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) (*.f32 (/.f32 x (/.f32 s x)) (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 64 binary32))) (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 #s(literal 64 binary32) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 (-.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))) (neg.f32 s))
(*.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))) s) (+.f32 (/.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.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 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 s #s(literal 4 binary32)))
Outputs
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
Calls

4 calls:

17.0ms
s
14.0ms
(neg.f32 (fabs.f32 x))
12.0ms
(fabs.f32 x)
12.0ms
x
Results
AccuracySegmentsBranch
95.5%1x
95.5%1s
95.5%1(neg.f32 (fabs.f32 x))
95.5%1(fabs.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes27.0ms (0.2%)

Counts
41 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 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 (/.f32 x s) x) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) 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 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 x x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) x) x) (/.f32 #s(literal 1 binary32) s))))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) s) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 (+.f32 s (/.f32 (*.f32 s (*.f32 s #s(literal -4 binary32))) (/.f32 x (/.f32 s x)))) x) x)
(/.f32 (+.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 s (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal -16 binary32)) s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 s (/.f32 x (/.f32 s x))))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s))) #s(literal 64 binary32))) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 s (/.f32 (*.f32 x x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) (*.f32 (/.f32 x (/.f32 s x)) (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 64 binary32))) (+.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 #s(literal 64 binary32) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))))))
(/.f32 (-.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))) (neg.f32 s))
(*.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))) s) (+.f32 (/.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))
Calls

2 calls:

14.0ms
x
11.0ms
s
Results
AccuracySegmentsBranch
89.8%2x
85.8%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 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 (/.f32 x s) x) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal 4 binary32)))) s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) 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 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))))
Calls

2 calls:

9.0ms
x
6.0ms
s
Results
AccuracySegmentsBranch
85.8%1s
85.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

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

2 calls:

4.0ms
s
4.0ms
x
Results
AccuracySegmentsBranch
79.3%2x
81.3%2s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
s
3.0ms
x
Results
AccuracySegmentsBranch
79.3%2x
66.4%2s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
69.9%2x
Compiler

Compiled 3 to 2 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 (/.f32 s x) x)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
Outputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
69.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (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:

3.0ms
s
1.0ms
x
Results
AccuracySegmentsBranch
29.2%1s
29.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.950281891069608e-7
7.471837761841016e-7
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
5.757262686331725e-24
8.003191887554375e-24
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.4100613059479501e-16
8.568083956798846e-16
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.950281891069608e-7
7.471837761841016e-7
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.950281891069608e-7
7.471837761841016e-7
Compiler

Compiled 33 to 15 computations (54.5% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative_binary32
10×+-commutative_binary32
2×mul-1-neg_binary32
2×neg-sub0_binary32
2×1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062166
181165
282165
383165
484165
585165
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(if (<=.f32 x #s(literal 8796093/17592186044416 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)))) (/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))))
(if (<=.f32 s #s(literal 15211807/2535301200456458802993406410752 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))))
(if (<=.f32 x #s(literal 15111573/75557863725914323419136 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s)))))
(if (<=.f32 x #s(literal 8796093/17592186044416 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x))))
(if (<=.f32 x #s(literal 8796093/17592186044416 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) s)
Outputs
(*.f32 (exp.f32 (*.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 s (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(if (<=.f32 x #s(literal 8796093/17592186044416 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)))) (/.f32 (*.f32 s (*.f32 s (*.f32 s #s(literal -4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))))
(if (<=.f32 s #s(literal 15211807/2535301200456458802993406410752 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))))
(if (<=.f32 x #s(literal 15111573/75557863725914323419136 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 x x) (*.f32 s s)))))
(if (<=.f32 x #s(literal 8796093/17592186044416 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x))))
(if (<=.f32 x #s(literal 8796093/17592186044416 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) s)

soundness3.2s (25.4%)

Rules
5074×*-lowering-*.f32
5074×*-lowering-*.f64
4650×/-lowering-/.f32
4650×/-lowering-/.f64
4300×*-lowering-*.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
042250
1306232
22811228
08463228
03586005
111565078
242754541
093464541
03643462
112272966
247752864
088162864
027140
1149132
2889131
08681131
06259403
121098016
084338016
03746515
112615662
249935507
081175507
022135
1158116
21198103
08796103
038183
1218165
21636161
08601161
01126
13818
211418
328118
462718
5113318
6194317
7378616
8696216
0856016
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 422 to 242 computations (42.7% saved)

preprocess58.0ms (0.5%)

Remove

(abs x)

Compiler

Compiled 502 to 232 computations (53.8% saved)

end0.0ms (0%)

Profiling

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