Logistic distribution

Time bar (total: 14.8s)

analyze73.0ms (0.5%)

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

Compiled 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-fabs: 7.0ms (17.4% of total)
...c/correct-round.rkt:119:19: 7.0ms (17.4% of total)
ival-div: 5.0ms (12.5% of total)
ival-mult: 5.0ms (12.5% of total)
ival-exp: 4.0ms (10% of total)
ival-<=: 4.0ms (10% of total)
ival-add: 3.0ms (7.5% of total)
ival-neg: 2.0ms (5% of total)
ival-and: 1.0ms (2.5% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (10%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 877.0ms
ival-div: 220.0ms (25.1% of total)
...c/correct-round.rkt:119:19: 154.0ms (17.6% of total)
ival-mult: 135.0ms (15.4% of total)
ival-fabs: 80.0ms (9.1% of total)
ival-exp: 73.0ms (8.3% of total)
ival-<=: 70.0ms (8% of total)
ival-neg: 62.0ms (7.1% of total)
ival-add: 51.0ms (5.8% of total)
ival-and: 18.0ms (2.1% of total)
const: 12.0ms (1.4% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess215.0ms (1.5%)

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

Useful iterations: 7 (0.0ms)

IterNodesCost
037166
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)

explain133.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
00-0-x
00-0-(fabs.f32 x)
00-0-(/.f32 (neg.f32 (fabs.f32 x)) s)
00-0-(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
00-0-(neg.f32 (fabs.f32 x))
00-0-s
03(1.2902490321114724e-22 6.8288705684685125e-25)0-(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
00-0-(/.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-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Results
86.0ms512×0valid
Compiler

Compiled 198 to 35 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 9.0ms (31.4% of total)
ival-mult: 6.0ms (20.9% of total)
ival-exp: 4.0ms (13.9% of total)
ival-add: 3.0ms (10.5% of total)
ival-fabs: 3.0ms (10.5% 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)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
▶99.7%
(/.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)

simplify156.0ms (1.1%)

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)

localize114.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f32 s (+.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))))
✓accuracy99.9%
(/.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%
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓accuracy99.9%
(*.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))))
✓accuracy99.9%
(/.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)))))
✓accuracy99.9%
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))
✓accuracy99.9%
(exp.f32 (/.f32 (fabs.f32 x) s))
Results
79.0ms256×0valid
Compiler

Compiled 176 to 23 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 9.0ms (27.1% of total)
ival-mult: 9.0ms (27.1% of total)
ival-exp: 6.0ms (18.1% of total)
ival-add: 4.0ms (12.1% of total)
ival-fabs: 2.0ms (6% of total)
ival-sub: 1.0ms (3% of total)
const: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.2%)

Counts
11 → 252
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 (/ (fabs x) s))>
#<alt (exp (/ (- 0 (fabs x)) s))>
#<alt (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 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 (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt (exp (/ (fabs x) s))>
#<alt 1>
#<alt (+ 1 (/ (fabs x) s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))>
#<alt 1>
#<alt (+ 1 (/ (fabs x) s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (exp (* -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 (* 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))>
Calls

63 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
3.0ms
x
@inf
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms
x
@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)))))

rewrite324.0ms (2.2%)

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
022127
1158108
2119895
0879695
Stop Event
1×iter limit
1×node limit
Counts
11 → 457
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 (/ (fabs x) s))
(exp (/ (- 0 (fabs x)) s))
(* (* 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)))
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(/.f32 (neg.f32 (*.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 3 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 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))))
(/.f32 (neg.f32 (*.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 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))) (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 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)))))
(/.f32 (+.f32 (pow.f32 (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (*.f32 (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (pow.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))) (-.f32 (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal 2 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))))
(*.f32 (*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal 2 binary32))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
(*.f32 (+.f32 (pow.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (*.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))))))
(*.f32 (-.f32 (pow.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (pow.f32 (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))))))
(*.f32 (*.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (+.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 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (-.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 (*.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 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (/.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 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) #s(literal 2 binary32)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (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)))))

simplify285.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3330×*-lowering-*.f32
3330×*-lowering-*.f64
2672×+-lowering-+.f64
2672×+-lowering-+.f32
1460×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03623231
112232753
247732656
088222656
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
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 (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
(exp (/ (fabs x) s))
1
(+ 1 (/ (fabs x) s))
(+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))
(+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))
1
(+ 1 (/ (fabs x) s))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(exp (* -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)))
(* 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))
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 x x) (*.f32 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 x x) (*.f32 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 x x) (*.f32 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 x x) (*.f32 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 x x) (*.f32 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 x x) (*.f32 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 x x) (*.f32 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 x x) (*.f32 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)))))
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(*.f32 s (-.f32 #s(literal 0 binary32) (+.f32 #s(literal -4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)) s)) s)) (neg.f32 s))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (-.f32 (*.f32 (fabs.f32 x) #s(literal -4 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -3 binary32) (*.f32 x x)) (/.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 5/3 binary32)) s)) s)) s)) (neg.f32 s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))

eval97.0ms (0.7%)

Compiler

Compiled 30655 to 2680 computations (91.3% saved)

prune171.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1001141015
Fresh000
Picked202
Done000
Total1003141017
Accuracy
99.9%
Counts
1017 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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))
▶99.8%
(/.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)))))
17.9%
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s)
95.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)) s)) s)) (neg.f32 s)))
▶94.6%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
▶99.8%
(/.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)))
16.6%
(/.f32 #s(literal 1 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 #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)))))))
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s))
78.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
▶37.4%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
99.7%
(/.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)))))
99.7%
(/.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 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))))
▶22.2%
(/.f32 #s(literal 1/4 binary32) s)
Compiler

Compiled 572 to 360 computations (37.1% saved)

simplify215.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 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 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.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 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.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 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
✓cost-diff128
(+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
✓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)))
✓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 #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)))))
Rules
2492×+-lowering-+.f64
2492×+-lowering-+.f32
2262×*-lowering-*.f32
2262×*-lowering-*.f64
1820×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040377
1107369
2255348
3658336
42207326
08631326
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 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
(/ 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 (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 (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))))
1
(* s (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))
s
(+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))
(- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s))
(/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)
(- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s))
(fabs x)
x
(/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)
(+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2))
(* (* (fabs x) (* x x)) (/ -1/6 s))
(* (fabs x) (* x x))
(* x x)
(/ -1/6 s)
-1/6
(* (* x x) 1/2)
1/2
(+ (exp (/ (fabs x) s)) 2)
(exp (/ (fabs x) s))
(/ (fabs x) s)
2
Outputs
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)
(+ 2 (* 2 (cosh (/ (fabs x) s))))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
2
#s(literal 2 binary32)
(* 2 (cosh (/ (fabs x) s)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(cosh (/ (fabs x) s))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
(/ 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 (cosh (/ (fabs x) s))) s) (* 2 s)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) 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 (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))
1
#s(literal 1 binary32)
(* s (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))
(+.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))
s
(+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s) #s(literal 3 binary32)))
(- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s))
(/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)
(/.f32 (-.f32 (fabs.f32 x) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 x x) s))) s)
(- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s))
(-.f32 (fabs.f32 x) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 x x) s)))
(fabs x)
(fabs.f32 x)
x
(/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)
(*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 x x) s))
(+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2))
(*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))))
(* (* (fabs x) (* x x)) (/ -1/6 s))
(/.f32 (*.f32 x (*.f32 x (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)))) s)
(* (fabs x) (* x x))
(*.f32 x (*.f32 x (fabs.f32 x)))
(* x x)
(*.f32 x x)
(/ -1/6 s)
(/.f32 #s(literal -1/6 binary32) s)
-1/6
#s(literal -1/6 binary32)
(* (* x x) 1/2)
(*.f32 (*.f32 x 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)

localize270.0ms (1.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy93.4%
(*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))
✓accuracy91.6%
(/.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)
✓accuracy72.9%
(+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
✓accuracy57.0%
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))
✓accuracy100.0%
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 #s(literal 2 binary32) s))
✓accuracy100.0%
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) s)
✓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)))
✓accuracy99.9%
(cosh.f32 (/.f32 (fabs.f32 x) s))
✓accuracy100.0%
(neg.f32 (fabs.f32 x))
✓accuracy100.0%
(fabs.f32 x)
✓accuracy99.9%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
✓accuracy99.9%
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓accuracy100.0%
(/.f32 #s(literal 1/4 binary32) s)
✓accuracy100.0%
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
✓accuracy99.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
✓accuracy99.9%
(cosh.f32 (/.f32 (fabs.f32 x) s))
Results
172.0ms256×0valid
Compiler

Compiled 416 to 41 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 20.0ms (31.7% of total)
ival-mult: 14.0ms (22.2% of total)
ival-add: 7.0ms (11.1% of total)
ival-cosh: 6.0ms (9.5% of total)
ival-exp: 4.0ms (6.3% of total)
ival-sub: 4.0ms (6.3% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.3% of total)
ival-fabs: 2.0ms (3.2% of total)
const: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series77.0ms (0.5%)

Counts
20 → 444
Calls
Call 1
Inputs
#<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 (* 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 (cosh (/ (fabs x) s))) s) (* 2 s)))>
#<alt (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s))>
#<alt (* (* 2 (cosh (/ (fabs x) s))) s)>
#<alt (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2))>
#<alt (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))>
#<alt (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))>
#<alt (/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))))>
#<alt (cosh (/ (fabs x) s))>
#<alt (neg (fabs x))>
#<alt (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)>
#<alt (* (* (fabs x) (* x x)) (/ -1/6 s))>
Outputs
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt 4>
#<alt (+ 4 (/ (pow (fabs x) 2) (pow s 2)))>
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt 4>
#<alt (+ 4 (/ (pow (fabs x) 2) (pow s 2)))>
#<alt (+ 4 (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (+ (* -1/2 (/ (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)) (+ (* -1/6 (/ (pow (fabs x) 4) s)) (/ (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) s)))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))>
#<alt 2>
#<alt (+ 2 (/ (pow (fabs x) 2) (pow s 2)))>
#<alt (+ 2 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 2 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (/ (pow (fabs x) 2) (pow s 2)))>
#<alt (+ 2 (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (+ (* -1/2 (/ (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)) (+ (* -1/6 (/ (pow (fabs x) 4) s)) (/ (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) s)))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/4 (/ (fabs x) s))) s)>
#<alt (/ (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) s)>
#<alt (/ (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/4 (/ (fabs x) s)) 1/4) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/4 (fabs x)) (* 1/8 (/ (pow (fabs x) 2) s))) s)) 1/4) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 2)) (* 1/24 (/ (pow (fabs x) 3) s))) s)) (* -1/4 (fabs x))) s)) 1/4) 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 (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (/ 1 (+ (* 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))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 1/64 (/ (pow (fabs x) 4) s)) (* 1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (* 1/16 (+ (* 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))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (+ (* 2 s) (* s (+ (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 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))>
#<alt (* 2 s)>
#<alt (* s (+ 2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (* s (+ 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 (* s (+ 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 s)>
#<alt (* -1 (* s (- (* -1 (/ (pow (fabs x) 2) (pow s 2))) 2)))>
#<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)))) 2)))>
#<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)))) 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))))>
#<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 (* (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 (* (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)>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) s)>
#<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))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))))) (pow s 2))>
#<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))>
#<alt (* 4 s)>
#<alt (* s (- (+ 4 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) (* -1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 4 s)>
#<alt (* -1 (* s (- (* -1 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2))) 4)))>
#<alt (* -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)))))))>
#<alt (* -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)))>
#<alt (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))>
#<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))))>
#<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))))>
#<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))))>
#<alt (* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))>
#<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 (* (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 (* (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 (* s (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))>
#<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 (* (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 (* (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))>
#<alt (- (+ 3 (+ (exp (/ (fabs x) s)) (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (/ (fabs x) s))>
#<alt (- (+ 3 (+ (exp (/ (fabs x) s)) (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (/ (fabs x) s))>
#<alt (- (+ 3 (+ (exp (/ (fabs x) s)) (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) (/ (fabs x) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 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)))))>
#<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)))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ (fabs x) (pow s 3))) (* 1/2 (/ 1 (pow s 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)))))>
#<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)))))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* s (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -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))>
#<alt 4>
#<alt (- (+ 4 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) (* -1/2 (/ (pow x 2) (pow s 2))))>
#<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)))))>
#<alt (- (+ 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)))))>
#<alt 4>
#<alt (- (+ 4 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) (* -1/2 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 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))))>
#<alt (- (+ 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))))>
#<alt (* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))>
#<alt (* (pow s 2) (- (* -18 (/ s (* (pow x 2) (pow (fabs x) 2)))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))>
#<alt (* (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))))))>
#<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)>
#<alt (/ (+ 1/4 (* -1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2)))) s)>
#<alt (/ (- (+ 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)>
#<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)>
#<alt (* -1 (/ (- (* 1/16 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2))) 1/4) s))>
#<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))))>
#<alt (+ (* -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)))))>
#<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)))))))>
#<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))))) (+ (/ 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 (/ (* (- (+ 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)))))))>
#<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))))) (+ (/ 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 (/ (* (- (+ 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)))))>
#<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))>
#<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 (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) s))>
Calls

111 calls:

TimeVariablePointExpression
8.0ms
s
@inf
(+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s))
5.0ms
x
@0
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))
3.0ms
s
@0
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))
3.0ms
x
@-inf
(/ 1 (+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s)))
3.0ms
x
@0
(* s (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))

rewrite366.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3450×/-lowering-/.f32
3450×/-lowering-/.f64
2866×*-lowering-*.f32
2866×*-lowering-*.f64
1700×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040236
1257222
22305222
08187222
Stop Event
1×iter limit
1×node limit
Counts
20 → 591
Calls
Call 1
Inputs
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)
(+ 2 (* 2 (cosh (/ (fabs x) 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 (cosh (/ (fabs x) s))) s) (* 2 s)))
(+ (* (* 2 (cosh (/ (fabs x) s))) s) (* 2 s))
(* (* 2 (cosh (/ (fabs x) s))) s)
(+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2))
(* s (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2)))
(+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)) s)) (+ (exp (/ (fabs x) s)) 2))))
(cosh (/ (fabs x) s))
(neg (fabs x))
(/ (+ (* (* (fabs x) (* x x)) (/ -1/6 s)) (* (* x x) 1/2)) s)
(* (* (fabs x) (* x x)) (/ -1/6 s))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (*.f32 (log.f32 (+.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 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
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(/.f32 (neg.f32 (*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 s #s(literal -1/6 binary32))))
(/.f32 (neg.f32 (*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 1/6 binary32))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (neg.f32 (neg.f32 s)))
(*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) (/.f32 s #s(literal -1/6 binary32))))
(*.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 x x) #s(literal -6 binary32)))
(*.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1/6 binary32) s)))
(*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (/.f32 #s(literal -1/6 binary32) s))
(*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) s))
(*.f32 (/.f32 #s(literal -1/6 binary32) s) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal -6 binary32)))
(*.f32 (*.f32 x (fabs.f32 x)) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))
(*.f32 (/.f32 (*.f32 x x) (/.f32 s #s(literal -1/6 binary32))) (fabs.f32 x))
(*.f32 (*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (fabs.f32 x)) (*.f32 x x))
(*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (fabs.f32 x))) x)
(*.f32 (/.f32 x s) (/.f32 (*.f32 x (fabs.f32 x)) #s(literal -6 binary32)))
(*.f32 (/.f32 (*.f32 x x) s) (/.f32 (fabs.f32 x) #s(literal -6 binary32)))
(*.f32 (/.f32 (*.f32 x (fabs.f32 x)) s) (/.f32 x #s(literal -6 binary32)))
(*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3/2 binary32)) s) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3/2 binary32)) #s(literal -6 binary32)))
(*.f32 (/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) s) #s(literal -1/6 binary32))
(*.f32 (/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1/6 binary32) s))

simplify356.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
3948×*-lowering-*.f32
3948×*-lowering-*.f64
3104×+-lowering-+.f64
3104×+-lowering-+.f32
1626×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05629147
119317857
279857679
080057679
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
1/4
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(- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))
1/4
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
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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 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))
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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))))
(+ 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)))
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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))))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
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(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(/ 1/4 s)
(/ (+ 1/4 (* -1/4 (/ (fabs x) s))) s)
(/ (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) s)
(/ (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/4 (/ (fabs x) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (fabs x)) (* 1/8 (/ (pow (fabs x) 2) s))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 2)) (* 1/24 (/ (pow (fabs x) 3) s))) s)) (* -1/4 (fabs x))) s)) 1/4) s))
(* -1 (/ (fabs x) s))
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(exp (* -1 (/ (fabs x) s)))
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(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
1
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1
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(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(fabs x)
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(fabs x)
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(/ 1 (+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
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(/ 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 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
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(/ 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))) (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))) s))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/64 (/ (pow (fabs x) 4) s)) (* 1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (* 1/16 (+ (* 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))
(+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(+ (* 2 s) (* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
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(* 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 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* s (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(* 2 s)
(* s (+ 2 (/ (pow (fabs x) 2) (pow s 2))))
(* s (+ 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)))))
(* s (+ 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 s)
(* -1 (* s (- (* -1 (/ (pow (fabs x) 2) (pow s 2))) 2)))
(* -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)))) 2)))
(* -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)))) 2)))
(* (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))))
(* (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))))
(* (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))))
(* (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))
(/ (+ (* -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)
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (* (pow x 2) (fabs x)) s)) (* 1/2 (pow x 2)))
(* -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))) (* 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)
(* s (- (+ 4 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) (* -1/2 (/ (pow x 2) (pow s 2)))))
(* 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)
(* -1 (* s (- (* -1 (/ (- (* 1/2 (pow (fabs x) 2)) (* -1/2 (pow x 2))) (pow s 2))) 4)))
(* -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)))
(+ (* 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)))))) (* 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)))))
(* -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))
(/ (* (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))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
Outputs
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 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))))
(+.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 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (fabs.f32 x)))) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x x) (*.f32 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)))))
(-.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/16 binary32) (-.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (*.f32 x (*.f32 x #s(literal -1/2 binary32)))) (*.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 (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.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 #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 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (fabs.f32 x)))) (*.f32 s (*.f32 s s))))))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* -1/16 (/ (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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(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
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(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
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(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* 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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4
#s(literal 4 binary32)
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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)
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(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
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(/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))))
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(/.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 x (*.f32 x #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32)))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32)))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (* (pow x 2) (fabs x)) s))) s))
(/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/6 binary32)))) (neg.f32 s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s)))

eval133.0ms (0.9%)

Compiler

Compiled 39627 to 3414 computations (91.4% saved)

prune121.0ms (0.8%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1193161209
Fresh459
Picked235
Done000
Total1199241223
Accuracy
99.9%
Counts
1223 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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))
78.5%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
▶99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))) s)
✓99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
21.7%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
▶94.6%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
17.9%
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
60.2%
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
✓94.6%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
94.6%
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 s #s(literal 4 binary32)))
37.4%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (/.f32 s #s(literal -1/6 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) s)))
60.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)))
16.6%
(/.f32 #s(literal 1 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 #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)))))))
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s))
▶63.2%
(/.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)))))
▶78.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
35.8%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
▶24.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s))) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
99.7%
(/.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 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))))
22.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
✓22.2%
(/.f32 #s(literal 1/4 binary32) s)
58.6%
(*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x (fabs.f32 x))))))
21.0%
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
Compiler

Compiled 938 to 598 computations (36.2% saved)

simplify169.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s))) s))
✓cost-diff32
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s 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 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s))) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))
✓cost-diff3200
(-.f32 (fabs.f32 x) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)))
✓cost-diff0
(/.f32 (fabs.f32 x) s)
✓cost-diff0
(exp.f32 (/.f32 (fabs.f32 x) s))
✓cost-diff0
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
✓cost-diff0
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
✓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 x x) (*.f32 s s))
✓cost-diff0
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
✓cost-diff64
(*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
✓cost-diff0
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))) s)
✓cost-diff64
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
Rules
2876×*-lowering-*.f32
2876×*-lowering-*.f64
1554×sum4-define
1336×sum3-define
1214×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040395
1132361
2421345
31720335
46293335
08042335
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 1 (+ 2 (* 2 (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s)))))))) s)
(/ 1 (+ 2 (* 2 (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s))))))))
1
(+ 2 (* 2 (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s)))))))
2
(* 2 (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s))))))
(/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s)))))
(/ 2 (* 2 (cosh (/ (fabs x) s))))
(* 2 (cosh (/ (fabs x) s)))
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
(/ 1 (* s (+ (/ (* x x) (* s s)) 4)))
1
(* s (+ (/ (* x x) (* s s)) 4))
s
(+ (/ (* x x) (* s s)) 4)
(/ (* x x) (* s s))
(* x x)
x
(* s s)
4
(/ 1 (* 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)
(/ (/ 1/4 (exp (/ (fabs x) s))) s)
(/ 1/4 (exp (/ (fabs x) s)))
1/4
(exp (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))))
1
(* s (+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2)))
s
(+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))
(- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s))
(/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)
(- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s)))
(fabs x)
x
(/ (* (fabs x) (* -1/6 (* x x))) (* s s))
(* (fabs x) (* -1/6 (* x x)))
(* -1/6 (* x x))
-1/6
(* x x)
(* s s)
(+ (exp (/ (fabs x) s)) 2)
(exp (/ (fabs x) s))
(/ (fabs x) s)
2
Outputs
(/ (/ 1 (+ 2 (* 2 (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s)))))))) 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)))))
(/ 1 (+ 2 (* 2 (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
1
#s(literal 1 binary32)
(+ 2 (* 2 (/ 1 (/ 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 (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s))))))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s)))))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ 2 (* 2 (cosh (/ (fabs x) s))))
(/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(* 2 (cosh (/ (fabs x) s)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(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 (+ (/ (* x x) (* s s)) 4)))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s)))
1
#s(literal 1 binary32)
(* s (+ (/ (* x x) (* s s)) 4))
(+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s))
s
(+ (/ (* x x) (* s s)) 4)
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
(/ (* x x) (* s s))
(/.f32 (*.f32 x x) (*.f32 s s))
(* x x)
(*.f32 x x)
x
(* s s)
(*.f32 s s)
4
#s(literal 4 binary32)
(/ 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)
(/ (/ 1/4 (exp (/ (fabs x) s))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/ 1/4 (exp (/ (fabs x) s)))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
1/4
#s(literal 1/4 binary32)
(exp (/ (fabs x) s))
(exp.f32 (/.f32 (fabs.f32 x) s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 (/.f32 (fabs.f32 x) s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))
1
#s(literal 1 binary32)
(* s (+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2)))
(+.f32 (*.f32 (neg.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) s) s) #s(literal 1 binary32)) (fabs.f32 x))) #s(literal 1 binary32)) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))
s
(+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))
(+.f32 (*.f32 (/.f32 (fabs.f32 x) s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))
(- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fabs.f32 x) s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)))))
(/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) s) s) #s(literal 1 binary32)) (fabs.f32 x)) s)
(- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s)))
(*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) s) s) #s(literal 1 binary32)) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(/ (* (fabs x) (* -1/6 (* x x))) (* s s))
(/.f32 (*.f32 x (*.f32 x (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)))) (*.f32 s s))
(* (fabs x) (* -1/6 (* x x)))
(*.f32 x (*.f32 x (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))))
(* -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)
(*.f32 s s)
(+ (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)

localize1.1s (7.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(exp.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.9%
(/.f32 (-.f32 (fabs.f32 x) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s))) s)
✓accuracy99.8%
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
✓accuracy88.6%
(/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s))
✓accuracy100.0%
(fabs.f32 x)
✓accuracy99.9%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
✓accuracy99.9%
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
✓accuracy99.9%
(exp.f32 (/.f32 (fabs.f32 x) s))
✓accuracy99.9%
(*.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(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(literal -1/6 binary32) (*.f32 x x))
✓accuracy85.5%
(/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))
✓accuracy100.0%
(+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))
✓accuracy99.9%
(*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
✓accuracy86.1%
(/.f32 (*.f32 x x) (*.f32 s s))
✓accuracy99.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))) s)
✓accuracy99.9%
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
✓accuracy99.9%
(cosh.f32 (/.f32 (fabs.f32 x) s))
Results
964.0ms178×5exit
59.0ms78×0valid
Compiler

Compiled 459 to 41 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 451.0ms
ival-div: 159.0ms (35.2% of total)
backward-pass: 106.0ms (23.5% of total)
ival-cosh: 62.0ms (13.7% of total)
ival-mult: 57.0ms (12.6% of total)
ival-add: 23.0ms (5.1% of total)
ival-sub: 14.0ms (3.1% of total)
ival-exp: 11.0ms (2.4% of total)
ival-fabs: 9.0ms (2% of total)
...c/correct-round.rkt:119:19: 8.0ms (1.8% of total)
const: 2.0ms (0.4% of total)

series104.0ms (0.7%)

Counts
25 → 564
Calls
Call 1
Inputs
#<alt (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s)))))>
#<alt (/ 2 (* 2 (cosh (/ (fabs x) s))))>
#<alt (/ (/ 1 (+ 2 (* 2 (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s)))))))) s)>
#<alt (/ 1 (+ 2 (* 2 (/ 1 (/ 2 (* 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 (* 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 (/ (/ 1/4 (exp (/ (fabs x) s))) s)>
#<alt (/ 1/4 (exp (/ (fabs x) s)))>
#<alt (exp (/ (fabs x) s))>
#<alt (/ (fabs x) s)>
#<alt (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s)))>
#<alt (+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))>
#<alt (/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))))>
#<alt (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s))>
#<alt (cosh (/ (fabs x) s))>
#<alt (* -1/6 (* x x))>
#<alt (fabs x)>
#<alt (/ (* (fabs x) (* -1/6 (* x x))) (* s s))>
#<alt (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)>
Outputs
#<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 (/ 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 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 (/ (+ (* -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))))) (* -1/4 (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) 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)) (* -1/4 (/ (pow (fabs x) 4) s))) (* -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 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))>
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#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))>
#<alt (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))>
#<alt (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))>
#<alt (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))>
#<alt (* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))>
#<alt (* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))>
#<alt (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))>
#<alt (* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))>
#<alt (* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))>
#<alt (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (/ (- (* (pow s 2) (fabs x)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 2))>
#<alt (/ (- (* (pow s 2) (fabs x)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 2))>
#<alt (/ (- (* (pow s 2) (fabs x)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 2))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))>
#<alt (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))>
#<alt (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))>
#<alt (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))>
#<alt (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))>
#<alt (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))>
#<alt (- (+ 3 (+ (exp (/ (fabs x) s)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))) (/ (fabs x) s))>
#<alt (- (+ 3 (+ (exp (/ (fabs x) s)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))) (/ (fabs x) s))>
#<alt (- (+ 3 (+ (exp (/ (fabs x) s)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))) (/ (fabs x) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 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))) (+ (* 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))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2)))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 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))) (+ (* 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))) (+ (* 3 (/ 1 (pow x 2))) (/ (exp (/ (fabs x) s)) (pow x 2)))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (/ (+ (* -1 (* (pow s 2) (fabs x))) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (- (* s (+ 3 (exp (/ (fabs x) s)))) (fabs x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (- (* s (+ 3 (exp (/ (fabs x) s)))) (fabs x)))) (pow s 3))>
#<alt 4>
#<alt (+ 4 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (- (+ 4 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))>
#<alt (- (+ 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)))))) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))>
#<alt 4>
#<alt (+ 4 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))>
#<alt (+ 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)))))>
#<alt (+ 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)))))>
#<alt (* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))>
#<alt (* (pow s 2) (- (* 36 (/ (pow s 2) (* (pow x 4) (fabs x)))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))>
#<alt (* (pow s 2) (- (* (pow s 2) (+ (* -36 (/ (* s (+ 3 (exp (/ (fabs x) s)))) (* (pow x 4) (pow (fabs x) 2)))) (* 36 (/ 1 (* (pow x 4) (fabs x)))))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))>
#<alt (* (pow s 2) (- (* (pow s 2) (+ (* s (- (* -216 (/ s (* (pow x 6) (fabs x)))) (* 36 (/ (+ 3 (exp (/ (fabs x) s))) (* (pow x 4) (pow (fabs x) 2)))))) (* 36 (/ 1 (* (pow x 4) (fabs x)))))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/32 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1/16 (/ (- (* 1/6 (pow (fabs x) 3)) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 3)))) (* 1/32 (/ (pow (fabs x) 2) (pow s 2)))) s)>
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/256 (pow (fabs x) 4)) (* 1/384 (pow (fabs x) 4))) (pow s 4)))) (+ (* 1/32 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (- (* 1/6 (pow (fabs x) 3)) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 3))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/32 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1/16 (/ (- (* -1/6 (pow (fabs x) 3)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 3))) (* 1/32 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/256 (pow (fabs x) 4)) (* 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))) (* 1/32 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))>
#<alt (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))))>
#<alt (+ (* 1/6 (/ (* (pow x 2) (fabs x)) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))>
#<alt (+ (* (pow x 2) (- (* 1/36 (/ (* (pow x 2) (pow (fabs x) 2)) (* (pow s 7) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 3)))) (* -1/6 (/ (fabs x) (* (pow s 4) (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) (- (* 1/216 (/ (* (pow x 2) (pow (fabs x) 3)) (* (pow s 10) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 4)))) (* -1/36 (/ (pow (fabs x) 2) (* (pow s 7) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 3)))))) (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))))) (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))>
#<alt (* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))>
#<alt (/ (+ (* -36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2)))) (* -6 (/ (pow s 2) (fabs x)))) (pow x 2))>
#<alt (/ (- (+ (* -216 (/ (* (pow s 8) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)) (* (pow x 4) (pow (fabs x) 3)))) (* -6 (/ (pow s 2) (fabs x)))) (* 36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2))))) (pow x 2))>
#<alt (/ (- (+ (* -1296 (/ (* (pow s 11) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 3)) (* (pow x 6) (pow (fabs x) 4)))) (* -6 (/ (pow s 2) (fabs x)))) (+ (* 36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2)))) (* 216 (/ (* (pow s 8) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)) (* (pow x 4) (pow (fabs x) 3)))))) (pow x 2))>
#<alt (* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))>
#<alt (/ (+ (* -36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2)))) (* -6 (/ (pow s 2) (fabs x)))) (pow x 2))>
#<alt (/ (- (+ (* -216 (/ (* (pow s 8) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)) (* (pow x 4) (pow (fabs x) 3)))) (* -6 (/ (pow s 2) (fabs x)))) (* 36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2))))) (pow x 2))>
#<alt (/ (- (+ (* -1296 (/ (* (pow s 11) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 3)) (* (pow x 6) (pow (fabs x) 4)))) (* -6 (/ (pow s 2) (fabs x)))) (+ (* 36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2)))) (* 216 (/ (* (pow s 8) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)) (* (pow x 4) (pow (fabs x) 3)))))) (pow x 2))>
#<alt (- 1 (/ (fabs x) s))>
#<alt (- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))>
#<alt (- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))>
#<alt (- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (/ (+ (* -1 (* (pow s 2) (fabs x))) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (- s (fabs x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (- s (fabs x)))) (pow s 3))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))>
#<alt (- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (- (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))) (* -1 (fabs x))) s)))>
#<alt (+ 1 (* -1 (/ (- (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))) (* -1 (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 (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 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 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))>
#<alt (/ (fabs x) s)>
#<alt (+ (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (/ (fabs x) s))>
#<alt (+ (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (/ (fabs x) s))>
#<alt (+ (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (/ (fabs x) s))>
#<alt (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))>
#<alt (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))>
#<alt (/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (fabs x))) (pow s 3))>
#<alt (/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (fabs x))) (pow s 3))>
#<alt (/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (fabs x))) (pow s 3))>
#<alt (/ (fabs x) s)>
#<alt (/ (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s)>
#<alt (/ (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s)>
#<alt (/ (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s)>
#<alt (/ (fabs x) s)>
#<alt (* -1 (/ (+ (* -1 (fabs x)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s))>
#<alt (* -1 (/ (+ (* -1 (fabs x)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s))>
#<alt (* -1 (/ (+ (* -1 (fabs x)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s))>
Calls

141 calls:

TimeVariablePointExpression
21.0ms
s
@0
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))))
12.0ms
x
@inf
(* (fabs x) (* -1/6 (* x x)))
2.0ms
x
@0
(* s (+ (/ (* x x) (* s s)) 4))
1.0ms
x
@inf
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))))
1.0ms
x
@inf
(* s (/ (* (fabs x) (* -1/6 (* x x))) (* s (* s s))))

rewrite378.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
3336×/-lowering-/.f32
3336×/-lowering-/.f64
3050×*-lowering-*.f32
3050×*-lowering-*.f64
2016×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040267
1296236
22648220
09106220
Stop Event
1×iter limit
1×node limit
Counts
25 → 915
Calls
Call 1
Inputs
(/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s)))))
(/ 2 (* 2 (cosh (/ (fabs x) s))))
(/ (/ 1 (+ 2 (* 2 (/ 1 (/ 2 (* 2 (cosh (/ (fabs x) s)))))))) s)
(/ 1 (+ 2 (* 2 (/ 1 (/ 2 (* 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))
(* 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)))
(/ (/ 1/4 (exp (/ (fabs x) s))) s)
(/ 1/4 (exp (/ (fabs x) s)))
(exp (/ (fabs x) s))
(/ (fabs x) s)
(- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s)))
(+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))
(/ 1 (* s (+ (- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)) (+ (exp (/ (fabs x) s)) 2))))
(- 1 (/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s))
(cosh (/ (fabs x) s))
(* -1/6 (* x x))
(fabs x)
(/ (* (fabs x) (* -1/6 (* x x))) (* s s))
(/ (- (fabs x) (/ (* (fabs x) (* -1/6 (* x x))) (* s s))) s)
Outputs
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(cosh.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log.f32 (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 (*.f32 #s(literal 2 binary32) (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 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (neg.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))) #s(literal 2 binary32))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(*.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 2 binary32)))
(*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -1 binary32)))
(*.f32 #s(literal -1/2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))
(*.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(exp.f32 (*.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (neg.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))
(/.f32 #s(literal 2 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 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 (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(/.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))
(/.f32 #s(literal -2 binary32) (neg.f32 (neg.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 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 (neg.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 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #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) (pow.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 -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) 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 (+.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 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))) s))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal -1 binary32) (*.f32 s (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (+.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(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (pow.f32 (/.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))))
(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)))
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.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 -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (+.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(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(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -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)) (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (neg.f32 (*.f32 (log.f32 (+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s))) #s(literal -1 binary32))))
(+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s))
(+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))
(pow.f32 (+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s))) #s(literal -1 binary32))
(fma.f32 x (*.f32 (/.f32 x (*.f32 s s)) s) (*.f32 s #s(literal 4 binary32)))
(fma.f32 s (/.f32 (/.f32 (*.f32 x x) s) s) (*.f32 s #s(literal 4 binary32)))
(fma.f32 s #s(literal 4 binary32) (/.f32 (*.f32 x x) s))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) s) (*.f32 s #s(literal 4 binary32)))
(fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s (*.f32 s #s(literal 4 binary32)))
(fma.f32 #s(literal 4 binary32) s (/.f32 (*.f32 x x) s))
(fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) s) (*.f32 s #s(literal 4 binary32)))
(fma.f32 (*.f32 s x) (/.f32 x (*.f32 s s)) (*.f32 s #s(literal 4 binary32)))
(fma.f32 (*.f32 s (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s #s(literal 4 binary32)))
(fma.f32 (*.f32 s (/.f32 x s)) (/.f32 x s) (*.f32 s #s(literal 4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s))))
(/.f32 (+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s)))))
(/.f32 (neg.f32 (+.f32 (*.f32 s #s(literal 4 binary32)) (/.f32 (*.f32 x x) s))) #s(literal -1 binary32))
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(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s)))) (neg.f32 s))
(/.f32 (*.f32 (-.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (+.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s)))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal 3/2 binary32)))) (neg.f32 (*.f32 s (+.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))))) (neg.f32 (*.f32 s (+.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))))))
(/.f32 (-.f32 (/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal 3/2 binary32)) (*.f32 s (*.f32 s s)))) (+.f32 (pow.f32 (/.f32 s (fabs.f32 x)) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s (*.f32 s s)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 s (fabs.f32 x)) #s(literal -2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) s)) (+.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))))))
(/.f32 (*.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s)))) (/.f32 #s(literal 1 binary32) s)) (+.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))))
(/.f32 (-.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))) s)
(/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 s s)))) (neg.f32 s))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s)))) (/.f32 s (fabs.f32 x)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 (-.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (+.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 s (fabs.f32 x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))))) (neg.f32 (*.f32 (/.f32 s (fabs.f32 x)) s)))
(/.f32 (neg.f32 (-.f32 (*.f32 (fabs.f32 x) s) (*.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))))) (-.f32 #s(literal 0 binary32) (*.f32 s s)))
(/.f32 (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s) (*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal 3/2 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))))) s)))
(/.f32 (neg.f32 (*.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s)))) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))) s)))
(/.f32 (neg.f32 (-.f32 (/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal 3/2 binary32)) (*.f32 s (*.f32 s s))))) (neg.f32 (+.f32 (pow.f32 (/.f32 s (fabs.f32 x)) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s (*.f32 s s))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 s (fabs.f32 x)) #s(literal -2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (+.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s)))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s)))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s)))))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s)))) (/.f32 s (fabs.f32 x))))
(*.f32 (-.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s)))) (/.f32 s (fabs.f32 x))) #s(literal 1 binary32))
(*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s)))) #s(literal -1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s)))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (pow.f32 (/.f32 s (-.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal 3/2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s)))))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) (*.f32 s s)))))

simplify370.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4310×*-lowering-*.f32
4310×*-lowering-*.f64
2738×+-lowering-+.f64
2738×+-lowering-+.f32
1960×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06188496
120377165
278106999
080336999
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* 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)))))
(/ 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)))))
1
(+ 1 (* -1/2 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1 (* 1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1 (* -1 (/ (+ (* -1/2 (+ (* -1 (* (fabs x) (+ (* -1 (* (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))))) (* -1/4 (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) 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)) (* -1/4 (/ (pow (fabs x) 4) s))) (* -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 (* 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)))))))
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(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(fabs x)
(+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))
(+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))
(+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))
(* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))
(* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))
(* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))
(* (pow x 2) (- (/ (fabs x) (pow x 2)) (* -1/6 (/ (fabs x) (pow s 2)))))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(/ (- (* (pow s 2) (fabs x)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 2))
(/ (- (* (pow s 2) (fabs x)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 2))
(/ (- (* (pow s 2) (fabs x)) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 2))
(fabs x)
(+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))
(+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))
(+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))
(fabs x)
(+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))
(+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))
(+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))))
(- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))
(- (+ 3 (+ (exp (/ (fabs x) s)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))) (/ (fabs x) s))
(- (+ 3 (+ (exp (/ (fabs x) s)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))) (/ (fabs x) s))
(- (+ 3 (+ (exp (/ (fabs x) s)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))) (/ (fabs x) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 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))) (+ (* 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))) (+ (* 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)))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (+ (* 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))) (+ (* 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))) (+ (* 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 (* (pow s 2) (fabs x))) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 3))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (- (* s (+ 3 (exp (/ (fabs x) s)))) (fabs x)))) (pow s 3))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (- (* s (+ 3 (exp (/ (fabs x) s)))) (fabs x)))) (pow s 3))
4
(+ 4 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 4 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/6 (/ (* (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)))))) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))))
4
(+ 4 (* 1/2 (/ (pow (fabs 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)))))
(+ 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)))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* (pow s 2) (- (* 36 (/ (pow s 2) (* (pow x 4) (fabs x)))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))
(* (pow s 2) (- (* (pow s 2) (+ (* -36 (/ (* s (+ 3 (exp (/ (fabs x) s)))) (* (pow x 4) (pow (fabs x) 2)))) (* 36 (/ 1 (* (pow x 4) (fabs x)))))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))
(* (pow s 2) (- (* (pow s 2) (+ (* s (- (* -216 (/ s (* (pow x 6) (fabs x)))) (* 36 (/ (+ 3 (exp (/ (fabs x) s))) (* (pow x 4) (pow (fabs x) 2)))))) (* 36 (/ 1 (* (pow x 4) (fabs x)))))) (* 6 (/ 1 (* (pow x 2) (fabs x))))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/32 (/ (pow (fabs 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)))) (* 1/32 (/ (pow (fabs x) 2) (pow s 2)))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/256 (pow (fabs x) 4)) (* 1/384 (pow (fabs x) 4))) (pow s 4)))) (+ (* 1/32 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (- (* 1/6 (pow (fabs x) 3)) (* 1/6 (* (pow x 2) (fabs x)))) (pow s 3))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/32 (/ (pow (fabs 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))) (* 1/32 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/256 (pow (fabs x) 4)) (* 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))) (* 1/32 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))
(/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))))
(+ (* 1/6 (/ (* (pow x 2) (fabs x)) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))) (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))
(+ (* (pow x 2) (- (* 1/36 (/ (* (pow x 2) (pow (fabs x) 2)) (* (pow s 7) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 3)))) (* -1/6 (/ (fabs x) (* (pow s 4) (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) (- (* 1/216 (/ (* (pow x 2) (pow (fabs x) 3)) (* (pow s 10) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 4)))) (* -1/36 (/ (pow (fabs x) 2) (* (pow s 7) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 3)))))) (* -1/6 (/ (fabs x) (* (pow s 4) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)))))) (/ 1 (* s (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(/ (+ (* -36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2)))) (* -6 (/ (pow s 2) (fabs x)))) (pow x 2))
(/ (- (+ (* -216 (/ (* (pow s 8) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)) (* (pow x 4) (pow (fabs x) 3)))) (* -6 (/ (pow s 2) (fabs x)))) (* 36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2))))) (pow x 2))
(/ (- (+ (* -1296 (/ (* (pow s 11) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 3)) (* (pow x 6) (pow (fabs x) 4)))) (* -6 (/ (pow s 2) (fabs x)))) (+ (* 36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2)))) (* 216 (/ (* (pow s 8) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)) (* (pow x 4) (pow (fabs x) 3)))))) (pow x 2))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(/ (+ (* -36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2)))) (* -6 (/ (pow s 2) (fabs x)))) (pow x 2))
(/ (- (+ (* -216 (/ (* (pow s 8) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)) (* (pow x 4) (pow (fabs x) 3)))) (* -6 (/ (pow s 2) (fabs x)))) (* 36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2))))) (pow x 2))
(/ (- (+ (* -1296 (/ (* (pow s 11) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 3)) (* (pow x 6) (pow (fabs x) 4)))) (* -6 (/ (pow s 2) (fabs x)))) (+ (* 36 (/ (* (pow s 5) (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s))) (* (pow x 2) (pow (fabs x) 2)))) (* 216 (/ (* (pow s 8) (pow (- (+ 3 (exp (/ (fabs x) s))) (/ (fabs x) s)) 2)) (* (pow x 4) (pow (fabs x) 3)))))) (pow x 2))
(- 1 (/ (fabs x) s))
(- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))
(- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))
(- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (- (+ (* -1/6 (/ (fabs x) (pow s 3))) (/ 1 (pow x 2))) (/ (fabs x) (* s (pow x 2)))))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(/ (+ (* -1 (* (pow s 2) (fabs x))) (* -1/6 (* (pow x 2) (fabs x)))) (pow s 3))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (- s (fabs x)))) (pow s 3))
(/ (+ (* -1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (- s (fabs x)))) (pow s 3))
1
(+ 1 (* -1 (/ (fabs x) s)))
(- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))
(- (+ 1 (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))) (/ (fabs x) s))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (- (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))) (* -1 (fabs x))) s)))
(+ 1 (* -1 (/ (- (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2))) (* -1 (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)))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 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)
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(/ (fabs x) s)
(+ (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (/ (fabs x) s))
(+ (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (/ (fabs x) s))
(+ (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (/ (fabs x) s))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (fabs x))) (pow s 3))
(/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (fabs x))) (pow s 3))
(/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (fabs x))) (pow s 3))
(/ (fabs x) s)
(/ (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s)
(/ (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s)
(/ (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s)
(/ (fabs x) s)
(* -1 (/ (+ (* -1 (fabs x)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s))
(* -1 (/ (+ (* -1 (fabs x)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s))
(* -1 (/ (+ (* -1 (fabs x)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s))
Outputs
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
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4
#s(literal 4 binary32)
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4
#s(literal 4 binary32)
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(+ 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 (*.f32 x x) 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 (fabs.f32 x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal -1/2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))) s)) (*.f32 s (*.f32 s s)))))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* -1/6 (pow x 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 x 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)
(fabs x)
(fabs.f32 x)
(* -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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (pow s 2)))
(/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(+ (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (/ (fabs x) s))
(+.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))
(+ (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (/ (fabs x) s))
(+.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))
(+ (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3))) (/ (fabs x) s))
(+.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 x x))) (/.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 (fabs.f32 x) s) s)) s)))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 x x))) (/.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 (fabs.f32 x) s) s)) s)))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 x x))) (/.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 (fabs.f32 x) s) s)) s)))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 x x))) (/.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 (fabs.f32 x) s) s)) s)))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 x x))) (/.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 (fabs.f32 x) s) s)) s)))
(* (pow x 2) (+ (* 1/6 (/ (fabs x) (pow s 3))) (/ (fabs x) (* s (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 x x))) (/.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 (fabs.f32 x) s) s)) s)))
(* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 3)))
(*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))
(/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (fabs x))) (pow s 3))
(/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 s s))) (*.f32 s (*.f32 s s)))
(/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (fabs x))) (pow s 3))
(/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 s s))) (*.f32 s (*.f32 s s)))
(/ (+ (* 1/6 (* (pow x 2) (fabs x))) (* (pow s 2) (fabs x))) (pow s 3))
(/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 s s))) (*.f32 s (*.f32 s s)))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(/ (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/6 binary32) (*.f32 x x))) s) s)) s)
(/ (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/6 binary32) (*.f32 x x))) s) s)) s)
(/ (+ (fabs x) (* 1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/6 binary32) (*.f32 x x))) s) s)) s)
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(* -1 (/ (+ (* -1 (fabs x)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s))
(/.f32 (-.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)) (fabs.f32 x)) (neg.f32 s))
(* -1 (/ (+ (* -1 (fabs x)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s))
(/.f32 (-.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)) (fabs.f32 x)) (neg.f32 s))
(* -1 (/ (+ (* -1 (fabs x)) (* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))) s))
(/.f32 (-.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s)) (fabs.f32 x)) (neg.f32 s))

eval221.0ms (1.5%)

Compiler

Compiled 48130 to 5137 computations (89.3% saved)

prune264.0ms (1.8%)

Pruning

51 alts after pruning (47 fresh and 4 done)

PrunedKeptTotal
New1688421730
Fresh11516
Picked325
Done123
Total1703511754
Accuracy
99.9%
Counts
1754 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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))
68.6%
(pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal -1/2 binary32))
58.2%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
62.5%
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) s)
64.5%
(/.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (fabs.f32 x))
76.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s)
▶99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 (neg.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)))))) s)
✓99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
74.9%
(/.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s))) s)
50.5%
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))) s)
77.1%
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))) s)
✓94.6%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
94.6%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)))) s)
94.6%
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
43.4%
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
17.7%
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
17.9%
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
59.8%
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
▶45.4%
(/.f32 s (*.f32 x x))
63.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) s) (*.f32 s #s(literal 4 binary32))))
▶76.5%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
▶56.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
27.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 (*.f32 x x) s) s)) (*.f32 s s)) #s(literal -16 binary32)) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32))))
46.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
63.2%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
60.1%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) s)))
60.5%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
16.6%
(/.f32 #s(literal 1 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 #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)))))))
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s))
65.2%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s s)))))
49.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
55.0%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))
59.6%
(/.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))))
83.1%
(/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 x (*.f32 s s)) x #s(literal 4 binary32))))
60.0%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
7.3%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))))
63.2%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 s s) #s(literal -1 binary32)))) (*.f32 s (*.f32 s s)))))
✓63.2%
(/.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)))))
78.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
83.1%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
77.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
76.4%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
12.0%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) s) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
▶63.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))))
68.3%
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) s) s)))))
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
✓22.2%
(/.f32 #s(literal 1/4 binary32) s)
55.6%
(*.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 s (fabs.f32 x)))
55.6%
(*.f32 (/.f32 s (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))) (/.f32 s (*.f32 x x)))
42.7%
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
Compiler

Compiled 1793 to 1118 computations (37.6% saved)

simplify287.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)
✓cost-diff64
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))))
✓cost-diff128
(*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
✓cost-diff0
(/.f32 (fabs.f32 x) s)
✓cost-diff0
(*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
✓cost-diff0
(/.f32 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
✓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 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
✓cost-diff64
(/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(/.f32 s (*.f32 x x))
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
Rules
3948×*-lowering-*.f32
3948×*-lowering-*.f64
2128×+-lowering-+.f64
2128×+-lowering-+.f32
1794×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036232
1106218
2282212
3825204
42887204
53328204
63916204
74792204
87799204
08411204
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 1 (+ 2 (* 2 (/ 1 (/ 1 (cosh (/ (fabs x) s))))))) s)
(/ 1 (+ 2 (* 2 (/ 1 (/ 1 (cosh (/ (fabs x) s)))))))
1
(+ 2 (* 2 (/ 1 (/ 1 (cosh (/ (fabs x) s))))))
2
(* 2 (/ 1 (/ 1 (cosh (/ (fabs x) s)))))
(/ 1 (/ 1 (cosh (/ (fabs x) s))))
(/ 1 (cosh (/ (fabs x) s)))
(cosh (/ (fabs x) s))
(/ (fabs x) s)
(fabs x)
x
s
(/ s (* x x))
s
(* x x)
x
(/ 1 (/ (+ (/ (/ (* x x) s) s) 4) (/ 1 s)))
1
(/ (+ (/ (/ (* x x) s) s) 4) (/ 1 s))
(+ (/ (/ (* x x) s) s) 4)
(/ (/ (* x x) s) s)
(/ (* x x) s)
(* x x)
x
s
4
(/ 1 s)
(/ 1 (/ (* (/ (fabs x) s) (* (* x x) -1/6)) s))
1
(/ (* (/ (fabs x) s) (* (* x x) -1/6)) s)
(* (/ (fabs x) s) (* (* x x) -1/6))
(/ (fabs x) s)
(fabs x)
x
s
(* (* x x) -1/6)
(* x x)
-1/6
(/ 1 (* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2)))))
1
(* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2))))
s
(* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2)))
(/ (/ 1 (* s s)) s)
(/ 1 (* s s))
(* s s)
(* -1/6 (pow (* x x) 3/2))
-1/6
(pow (* x x) 3/2)
(* x x)
x
3/2
Outputs
(/ (/ 1 (+ 2 (* 2 (/ 1 (/ 1 (cosh (/ (fabs x) s))))))) s)
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ 1 (+ 2 (* 2 (/ 1 (/ 1 (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 (/ 1 (/ 1 (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 (/ 1 (/ 1 (cosh (/ (fabs x) s)))))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(/ 1 (/ 1 (cosh (/ (fabs x) s))))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(/ 1 (cosh (/ (fabs x) s)))
(/.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
(/ s (* x x))
(/.f32 s (*.f32 x x))
s
(* x x)
(*.f32 x x)
x
(/ 1 (/ (+ (/ (/ (* x x) s) s) 4) (/ 1 s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))))
1
#s(literal 1 binary32)
(/ (+ (/ (/ (* x x) s) s) 4) (/ 1 s))
(*.f32 s (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)))
(+ (/ (/ (* 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
s
4
#s(literal 4 binary32)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
(/ 1 (/ (* (/ (fabs x) s) (* (* x x) -1/6)) s))
(/.f32 s (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)))))
1
#s(literal 1 binary32)
(/ (* (/ (fabs x) s) (* (* x x) -1/6)) s)
(/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)))) s)
(* (/ (fabs x) s) (* (* x x) -1/6))
(*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (fabs.f32 x) s))))
(/ (fabs x) s)
(/.f32 (fabs.f32 x) s)
(fabs x)
(fabs.f32 x)
x
s
(* (* x x) -1/6)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x x)
(*.f32 x x)
-1/6
#s(literal -1/6 binary32)
(/ 1 (* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2)))))
(/.f32 (/.f32 s (/.f32 #s(literal -1/6 binary32) s)) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))
1
#s(literal 1 binary32)
(* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2))))
(*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))
s
(* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2)))
(/.f32 (*.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (/ 1 (* s s)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) s) s)
(/ 1 (* s s))
(/.f32 (/.f32 #s(literal 1 binary32) s) s)
(* s s)
(*.f32 s s)
(* -1/6 (pow (* x x) 3/2))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))
-1/6
#s(literal -1/6 binary32)
(pow (* x x) 3/2)
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(* x x)
(*.f32 x x)
x
3/2
#s(literal 3/2 binary32)

localize1.0s (7.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (*.f32 s s))
✓accuracy83.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
✓accuracy99.8%
(*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
✓accuracy99.8%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy93.9%
(/.f32 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
✓accuracy99.7%
(/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s))
✓accuracy96.0%
(/.f32 (/.f32 (*.f32 x x) s) s)
✓accuracy91.9%
(/.f32 (*.f32 x x) s)
✓accuracy100.0%
(*.f32 x x)
✓accuracy92.7%
(/.f32 s (*.f32 x x))
✓accuracy99.9%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))
✓accuracy99.9%
(cosh.f32 (/.f32 (fabs.f32 x) s))
Results
834.0ms178×5exit
82.0ms78×0valid
Compiler

Compiled 299 to 37 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 452.0ms
ival-div: 141.0ms (31.2% of total)
backward-pass: 116.0ms (25.6% of total)
ival-cosh: 80.0ms (17.7% of total)
ival-mult: 73.0ms (16.1% of total)
...c/correct-round.rkt:119:19: 13.0ms (2.9% of total)
ival-pow: 10.0ms (2.2% of total)
ival-fabs: 9.0ms (2% of total)
ival-add: 8.0ms (1.8% of total)
const: 3.0ms (0.7% of total)

series22.0ms (0.1%)

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

126 calls:

TimeVariablePointExpression
1.0ms
s
@0
(* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2))))
1.0ms
x
@0
(* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2))))
1.0ms
s
@0
(/ 1 (* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2)))))
1.0ms
x
@0
(* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2)))
1.0ms
x
@inf
(* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2))))

rewrite320.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
3892×*-lowering-*.f32
3892×*-lowering-*.f64
3282×/-lowering-/.f32
3282×/-lowering-/.f64
1138×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036178
1237161
21580149
08344149
Stop Event
1×iter limit
1×node limit
Counts
23 → 793
Calls
Call 1
Inputs
(/ 1 (/ 1 (cosh (/ (fabs x) s))))
(/ 1 (+ 2 (* 2 (/ 1 (/ 1 (cosh (/ (fabs x) s)))))))
(/ (/ 1 (+ 2 (* 2 (/ 1 (/ 1 (cosh (/ (fabs x) s))))))) s)
(+ 2 (* 2 (/ 1 (/ 1 (cosh (/ (fabs x) s))))))
(/ s (* x x))
(* x x)
(/ (+ (/ (/ (* x x) s) s) 4) (/ 1 s))
(/ 1 (/ (+ (/ (/ (* x x) s) s) 4) (/ 1 s)))
(+ (/ (/ (* x x) s) s) 4)
(/ (/ (* x x) s) s)
(/ 1 (/ (* (/ (fabs x) s) (* (* x x) -1/6)) s))
(/ (* (/ (fabs x) s) (* (* x x) -1/6)) s)
(* (/ (fabs x) s) (* (* x x) -1/6))
(/ (fabs x) s)
(* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2))))
(/ 1 (* s (* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2)))))
(* (/ (/ 1 (* s s)) s) (* -1/6 (pow (* x x) 3/2)))
(/ (/ 1 (* s s)) s)
(cosh (/ (fabs x) s))
(/ 1 (cosh (/ (fabs x) s)))
(/ (* x x) s)
(* (* x x) -1/6)
(/ 1 (* s s))
Outputs
(neg.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))
(cosh.f32 (/.f32 (fabs.f32 x) s))
(cosh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))
(exp.f32 (*.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))
(-.f32 #s(literal 0 binary32) (/.f32 (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 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))
(/.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(/.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -2 binary32))
(*.f32 #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 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(*.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal -1/2 binary32))
(*.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 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 4 binary32) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (/.f32 (*.f32 #s(literal 4 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32)))) (/.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))
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(*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) x)
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)))
(neg.f32 (*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) s) s))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 s)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 s) #s(literal -2 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)) (*.f32 (log.f32 s) #s(literal -1 binary32))))
(exp.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (log.f32 s))))
(pow.f32 s #s(literal -2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(pow.f32 (*.f32 s s) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -1/2 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (*.f32 s s)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (/.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s)))))
(/.f32 s (*.f32 s (*.f32 s s)))
(/.f32 (/.f32 #s(literal 1 binary32) s) s)
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 s s)))
(/.f32 (neg.f32 s) (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))))
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 s))
(/.f32 (/.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s)))) s)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 s) #s(literal -2 binary32)))
(*.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) s)
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 s s)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))

simplify307.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
3302×*-lowering-*.f32
3302×*-lowering-*.f64
2130×+-lowering-+.f64
2130×+-lowering-+.f32
1312×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03276074
110725114
240234544
096964544
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* 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
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(+ 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))))
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(+ 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 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))
1/4
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))
1/4
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))
(/ 1 (* 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)))))))
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(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))
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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 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))
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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))))
(+ 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))))
(/ 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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)))
(/ (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)))
(/ 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))
(/ 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))
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))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -6 (/ (pow s 2) (* (pow x 2) (fabs x))))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) (pow s 2)))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(* -1/6 (/ (* (pow x 2) (fabs x)) s))
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(/ (fabs x) s)
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* -6 (/ (pow s 2) (pow x 3)))
(* 6 (/ (pow s 2) (pow x 3)))
(* 6 (/ (pow s 2) (pow x 3)))
(* 6 (/ (pow s 2) (pow x 3)))
(* 6 (/ (pow s 2) (pow x 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* 1/6 (/ (pow x 3) (pow s 3)))
(* 1/6 (/ (pow x 3) (pow s 3)))
(* 1/6 (/ (pow x 3) (pow s 3)))
(* 1/6 (/ (pow x 3) (pow s 3)))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(/ 1 (pow s 3))
(* 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)))))
(/ 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)))))
1
(+ 1 (* -1/2 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1 (* 1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(- (+ 1 (* -1 (/ (+ (* -1/2 (+ (* -1 (* (fabs x) (+ (* -1 (* (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))))) (* -1/4 (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) 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)) (* -1/4 (/ (pow (fabs x) 4) s))) (* -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))))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
Outputs
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))
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(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(/ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(/ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(/ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(/ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(/ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(/ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(/ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(/ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
(/ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))
(/.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/2 binary32)))
(- (+ 1 (* 1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/2 binary32)) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))))
(- (+ 1 (* -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))))) (* -1/4 (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 binary32) (/.f32 (+.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)))))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/4 binary32))) (pow.f32 s #s(literal 4 binary32)))) (+.f32 (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/2 binary32)) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/2 binary32)))
(- (+ 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 (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/2 binary32)) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))))
(- (+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/4 (/ (pow (fabs x) 4) s))) (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (+.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 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x))))) s)) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/4 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/2 binary32)))
(/ (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)
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(/ 1 (pow s 2))
(/.f32 #s(literal 1 binary32) (*.f32 s s))

eval137.0ms (0.9%)

Compiler

Compiled 26988 to 3444 computations (87.2% saved)

prune248.0ms (1.7%)

Pruning

55 alts after pruning (50 fresh and 5 done)

PrunedKeptTotal
New1395311426
Fresh231942
Picked325
Done134
Total1422551477
Accuracy
100.0%
Counts
1477 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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))
62.9%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
58.2%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
60.8%
(/.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
45.6%
(/.f32 (/.f32 s x) x)
29.3%
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))) s) (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))) s)
11.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.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))))) (pow.f32 s #s(literal 4 binary32)))))) s)
✓99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
33.2%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.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 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) s)
99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
✓99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
45.4%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
45.7%
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s))
50.5%
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))) s)
✓94.6%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
94.6%
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)))) s)
94.6%
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
63.2%
(/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))
17.7%
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
17.9%
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
61.7%
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
59.8%
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
45.7%
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
✓45.4%
(/.f32 s (*.f32 x x))
62.8%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)))
46.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)))
16.0%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 64 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (*.f32 s s) (*.f32 x x))))) s)))
20.4%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) #s(literal -16 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) s)))
77.1%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
77.1%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 x (/.f32 s x)) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
56.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) s))
46.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
60.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
46.7%
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
63.2%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
63.2%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s))
55.4%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) s)))
16.6%
(/.f32 #s(literal 1 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 #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)))))))
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s))
60.9%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x x))))
49.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
60.0%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
7.3%
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))))
83.1%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
77.5%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
12.0%
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) s) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
63.9%
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))))
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
62.0%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
✓22.2%
(/.f32 #s(literal 1/4 binary32) s)
55.6%
(*.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 s (fabs.f32 x)))
45.6%
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
45.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
59.4%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) s)
97.9%
(exp.f32 (+.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 (log.f32 s) #s(literal -1 binary32))))
Compiler

Compiled 3071 to 1139 computations (62.9% saved)

regimes203.0ms (1.4%)

Counts
105 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 x (/.f32 s x)) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 (*.f32 x x) s) s)) (*.f32 s s)) #s(literal -16 binary32)) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) #s(literal -16 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 64 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (*.f32 s s) (*.f32 x x))))) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))) s) (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.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 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))) s)
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
(*.f32 (/.f32 s (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))) (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 s (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 x (*.f32 s s)) x #s(literal 4 binary32))))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (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 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s s)))))
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) 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 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))) s)
(*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x (fabs.f32 x))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 s s) #s(literal -1 binary32)))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal -1/2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.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))))) (pow.f32 s #s(literal 4 binary32)))))) s)
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)))) s)
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 s #s(literal 4 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) 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 #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 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) s) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)) s)) s)) (neg.f32 s)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s))))))) 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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 (neg.f32 (log.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)))))) 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)))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s s))) 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 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s))) s)) 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 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) (/.f32 s #s(literal -1/6 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (+.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 (log.f32 s) #s(literal -1 binary32))))
(/.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 s (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (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 (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 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))))
Outputs
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s)
Calls

5 calls:

62.0ms
(neg.f32 (fabs.f32 x))
47.0ms
x
31.0ms
(fabs.f32 x)
27.0ms
s
22.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%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)))))
99.8%1(neg.f32 (fabs.f32 x))
99.8%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes137.0ms (0.9%)

Counts
88 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 x (/.f32 s x)) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 (*.f32 x x) s) s)) (*.f32 s s)) #s(literal -16 binary32)) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) #s(literal -16 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 64 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (*.f32 s s) (*.f32 x x))))) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))) s) (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.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 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))) s)
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
(*.f32 (/.f32 s (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))) (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 s (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 x (*.f32 s s)) x #s(literal 4 binary32))))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (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 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s s)))))
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) 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 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))) s)
(*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x (fabs.f32 x))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 s s) #s(literal -1 binary32)))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal -1/2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.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))))) (pow.f32 s #s(literal 4 binary32)))))) s)
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)))) s)
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 s #s(literal 4 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) 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 #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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)
Calls

4 calls:

52.0ms
(fabs.f32 x)
26.0ms
x
24.0ms
(neg.f32 (fabs.f32 x))
24.0ms
s
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(neg.f32 (fabs.f32 x))
99.8%1(fabs.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes136.0ms (0.9%)

Counts
86 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 x (/.f32 s x)) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 (*.f32 x x) s) s)) (*.f32 s s)) #s(literal -16 binary32)) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) #s(literal -16 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 64 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (*.f32 s s) (*.f32 x x))))) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))) s) (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.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 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))) s)
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
(*.f32 (/.f32 s (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))) (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 s (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 x (*.f32 s s)) x #s(literal 4 binary32))))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (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 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s s)))))
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) 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 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))) s)
(*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x (fabs.f32 x))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 s s) #s(literal -1 binary32)))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal -1/2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.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))))) (pow.f32 s #s(literal 4 binary32)))))) s)
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)))) s)
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 s #s(literal 4 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) 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)))))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s))
Calls

4 calls:

50.0ms
x
24.0ms
s
23.0ms
(neg.f32 (fabs.f32 x))
22.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(neg.f32 (fabs.f32 x))
99.8%1(fabs.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes106.0ms (0.7%)

Counts
84 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 x (/.f32 s x)) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 (*.f32 x x) s) s)) (*.f32 s s)) #s(literal -16 binary32)) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) #s(literal -16 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 64 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (*.f32 s s) (*.f32 x x))))) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))) s) (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.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 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))) s)
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
(*.f32 (/.f32 s (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))) (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 s (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 x (*.f32 s s)) x #s(literal 4 binary32))))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (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 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s s)))))
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) 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 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))) s)
(*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x (fabs.f32 x))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 s s) #s(literal -1 binary32)))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal -1/2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.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))))) (pow.f32 s #s(literal 4 binary32)))))) s)
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)))) s)
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 s #s(literal 4 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
Calls

4 calls:

25.0ms
(neg.f32 (fabs.f32 x))
24.0ms
s
23.0ms
x
23.0ms
(fabs.f32 x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(neg.f32 (fabs.f32 x))
99.8%1(fabs.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes101.0ms (0.7%)

Counts
83 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 x (/.f32 s x)) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 (*.f32 x x) s) s)) (*.f32 s s)) #s(literal -16 binary32)) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) #s(literal -16 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 64 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (*.f32 s s) (*.f32 x x))))) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))) s) (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.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 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))) s)
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
(*.f32 (/.f32 s (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))) (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 s (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 x (*.f32 s s)) x #s(literal 4 binary32))))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (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 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s s)))))
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) 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 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))) s)
(*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x (fabs.f32 x))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 s s) #s(literal -1 binary32)))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal -1/2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.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))))) (pow.f32 s #s(literal 4 binary32)))))) s)
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)))) s)
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 s #s(literal 4 binary32)))
Outputs
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
Calls

4 calls:

25.0ms
(neg.f32 (fabs.f32 x))
22.0ms
(fabs.f32 x)
22.0ms
x
21.0ms
s
Results
AccuracySegmentsBranch
94.6%1x
94.6%1s
94.6%1(neg.f32 (fabs.f32 x))
94.6%1(fabs.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes72.0ms (0.5%)

Counts
78 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 x (/.f32 s x)) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 (*.f32 x x) s) s)) (*.f32 s s)) #s(literal -16 binary32)) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) #s(literal -16 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 #s(literal 16 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -4 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 64 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 s s) (*.f32 x x))) (*.f32 s s)) (-.f32 #s(literal 16 binary32) (/.f32 #s(literal 4 binary32) (/.f32 (*.f32 s s) (*.f32 x x))))) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))) s) (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.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 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.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 x x)) (*.f32 x x)))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))) s)
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))
(*.f32 (/.f32 s (*.f32 (fabs.f32 x) #s(literal -1/6 binary32))) (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 s (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 x (*.f32 s s)) x #s(literal 4 binary32))))
(/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x (*.f32 x (fabs.f32 x))))
(/.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (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 (*.f32 (/.f32 (fabs.f32 x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s s)))))
(*.f32 s (+.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -4 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (/.f32 (fabs.f32 x) s) 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 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))) s)
(*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x (fabs.f32 x))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 s s) #s(literal -1 binary32)))) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(pow.f32 (*.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s s))) #s(literal -1/2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.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))))) (pow.f32 s #s(literal 4 binary32)))))) s)
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))))
Calls

3 calls:

24.0ms
x
22.0ms
(fabs.f32 x)
21.0ms
s
Results
AccuracySegmentsBranch
87.4%2x
83.1%1s
87.4%2(fabs.f32 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.1%)

Counts
40 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (/.f32 x (/.f32 s x)) (/.f32 #s(literal 1 binary32) s)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
86.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts
35 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))) s)
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/32 binary32)) (*.f32 s s))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x x))) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) s)))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
Calls

2 calls:

11.0ms
s
11.0ms
x
Results
AccuracySegmentsBranch
83.1%1s
83.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
Calls

2 calls:

9.0ms
s
5.0ms
x
Results
AccuracySegmentsBranch
77.5%1x
77.5%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x)))
Calls

2 calls:

7.0ms
s
5.0ms
x
Results
AccuracySegmentsBranch
78.1%2x
71.0%2s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32))))
(/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
77.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
75.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
Outputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
75.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
(/.f32 #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 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 x (/.f32 #s(literal -1 binary32) s)))
Outputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))
Calls

2 calls:

4.0ms
s
4.0ms
x
Results
AccuracySegmentsBranch
46.7%1s
62.3%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s (*.f32 x x))
(/.f32 (/.f32 s x) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s)
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x)))
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
62.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
61.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
s
Results
AccuracySegmentsBranch
22.2%1s
22.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.6408555709302746e-14
9.211610017519425e-14
Compiler

Compiled 31 to 15 computations (51.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.735715903285808e-10
6.696231347191883e-10
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
4.6408555709302746e-14
9.211610017519425e-14
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
4.6408555709302746e-14
9.211610017519425e-14
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
4.6408555709302746e-14
9.211610017519425e-14
Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.175957489619935e-14
4.6408555709302746e-14
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
0.0006438957643695176
0.0006623305962421
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
0.0006438957643695176
0.0006623305962421
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
0.0006438957643695176
0.0006623305962421
Compiler

Compiled 33 to 15 computations (54.5% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
34×*-commutative_binary32
12×+-commutative_binary32
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085301
1111301
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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))))) s)
(/.f32 #s(literal 1 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 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(if (<=.f32 (fabs.f32 x) #s(literal 14757395/295147905179352825856 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))))
(if (<=.f32 x #s(literal 9007199/18014398509481984 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))))
(if (<=.f32 x #s(literal 14757395/295147905179352825856 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 x #s(literal 14757395/295147905179352825856 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
(if (<=.f32 x #s(literal 14757395/295147905179352825856 binary32)) (/.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 (*.f32 x x) s) s))))
(if (<=.f32 x #s(literal 2951479/73786976294838206464 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s))))
(if (<=.f32 x #s(literal 11166915/17179869184 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)))
(if (<=.f32 x #s(literal 11166915/17179869184 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x))))
(if (<=.f32 x #s(literal 11166915/17179869184 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) s)
Outputs
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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))))) s)
(/.f32 #s(literal 1 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 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 s (*.f32 s (cosh.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(if (<=.f32 (fabs.f32 x) #s(literal 14757395/295147905179352825856 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))))
(if (<=.f32 (fabs.f32 x) #s(literal 14757395/295147905179352825856 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 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))))
(if (<=.f32 x #s(literal 9007199/18014398509481984 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) s)))
(if (<=.f32 x #s(literal 9007199/18014398509481984 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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (*.f32 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 #s(literal 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s)))))
(if (<=.f32 x #s(literal 14757395/295147905179352825856 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 x #s(literal 14757395/295147905179352825856 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))) (/.f32 (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
(if (<=.f32 x #s(literal 14757395/295147905179352825856 binary32)) (/.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 (*.f32 x x) s) s))))
(if (<=.f32 x #s(literal 2951479/73786976294838206464 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (/.f32 (*.f32 x x) s) s))))
(if (<=.f32 x #s(literal 11166915/17179869184 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)))
(if (<=.f32 x #s(literal 11166915/17179869184 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s x))))
(if (<=.f32 x #s(literal 11166915/17179869184 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) s)

soundness4.2s (28.2%)

Rules
4310×*-lowering-*.f32
4310×*-lowering-*.f64
3948×*-lowering-*.f32
3948×*-lowering-*.f64
3892×*-lowering-*.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
022127
1158108
2119895
0879695
040267
1296236
22648220
09106220
03623231
112232753
247732656
088222656
036178
1237161
21580149
08344149
06188496
120377165
278106999
080336999
05629147
119317857
279857679
080057679
03276074
110725114
240234544
096964544
040236
1257222
22305222
08187222
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 989 to 549 computations (44.5% saved)

preprocess88.0ms (0.6%)

Remove

(abs x)

Compiler

Compiled 852 to 322 computations (62.2% saved)

end0.0ms (0%)

Profiling

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