Logistic function

Time bar (total: 10.2s)

analyze77.0ms (0.8%)

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 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
...c/correct-round.rkt:119:19: 8.0ms (26.9% of total)
ival-div: 6.0ms (20.2% of total)
ival-<=: 5.0ms (16.8% of total)
ival-neg: 4.0ms (13.5% of total)
ival-add: 3.0ms (10.1% of total)
ival-exp: 3.0ms (10.1% of total)
ival-and: 1.0ms (3.4% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (10.8%)

Results
872.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 587.0ms
...c/correct-round.rkt:119:19: 149.0ms (25.4% of total)
ival-div: 135.0ms (23% of total)
ival-exp: 92.0ms (15.7% of total)
ival-<=: 87.0ms (14.8% of total)
ival-add: 49.0ms (8.3% of total)
ival-neg: 48.0ms (8.2% of total)
ival-and: 13.0ms (2.2% of total)
const: 12.0ms (2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess45.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
714×fma-define
654×fnmadd-define
524×sum3-define
204×exp-prod
188×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02446
16046
212544
328644
461344
5138044
6179944
7186444
8201444
9205344
10207144
11207244
088
1178
2278
3418
4578
5788
61058
71608
81678
91718
01718
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (/.f32 x #s(literal -1 binary32)) s))))
Call 2
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/ 1 (+ 1 (exp (/ (neg (neg x)) s))))
(/ 1 (+ 1 (exp (/ (neg x) (neg s)))))
(neg (/ 1 (+ 1 (exp (/ (neg (neg x)) s)))))
(neg (/ 1 (+ 1 (exp (/ (neg x) (neg s))))))
(/ 1 (+ 1 (exp (/ (neg s) x))))
Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(recip (+ 1 (recip (exp (/ x s)))))
(/ 1 (+ 1 (exp (/ (neg (neg x)) s))))
(recip (+ 1 (exp (/ x s))))
(/ 1 (+ 1 (exp (/ (neg x) (neg s)))))
(recip (+ 1 (exp (/ x s))))
(neg (/ 1 (+ 1 (exp (/ (neg (neg x)) s)))))
(recip (- -1 (exp (/ x s))))
(neg (/ 1 (+ 1 (exp (/ (neg x) (neg s))))))
(recip (- -1 (exp (/ x s))))
(/ 1 (+ 1 (exp (/ (neg s) x))))
(recip (+ 1 (exp (/ s (neg x)))))

explain80.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-x
00-0-(/.f32 (neg.f32 x) s)
00-0-(neg.f32 x)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
03(-2.0351246709204303e-31 1.3850497287433767e-33)0-(exp.f32 (/.f32 (neg.f32 x) s))
00-0-#s(literal 1 binary32)
00-0-s
Results
42.0ms512×0valid
Compiler

Compiled 77 to 26 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 8.0ms (40.7% of total)
ival-exp: 4.0ms (20.4% of total)
ival-neg: 4.0ms (20.4% of total)
ival-add: 3.0ms (15.3% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

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

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-32
(exp.f32 (/.f32 (neg.f32 x) s))
✓cost-diff-32
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓cost-diff-32
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓cost-diff0
(neg.f32 x)
Rules
48×sum3-define
36×fma-define
32×+-lowering-+.f64
32×*-lowering-*.f32
32×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
11729
22729
34129
45729
57829
610529
716029
816729
917129
017129
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
1
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
(/ (neg x) s)
(neg x)
x
s
Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (/.f32 x #s(literal -1 binary32)) s))))
1
#s(literal 1 binary32)
(+ 1 (exp (/ (neg x) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (/.f32 x #s(literal -1 binary32)) s)))
(exp (/ (neg x) s))
(exp.f32 (/.f32 (/.f32 x #s(literal -1 binary32)) s))
(/ (neg x) s)
(/.f32 (/.f32 x #s(literal -1 binary32)) s)
(neg x)
(neg.f32 x)
x
s

localize30.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.8%
(exp.f32 (/.f32 (neg.f32 x) s))
Results
21.0ms256×0valid
Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43.7% of total)
ival-exp: 2.0ms (21.9% of total)
ival-add: 1.0ms (10.9% of total)
ival-neg: 1.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (neg x)>
#<alt (/ 1 (+ 1 (exp (/ (neg x) s))))>
#<alt (+ 1 (exp (/ (neg x) s)))>
#<alt (exp (/ (neg x) s))>
Outputs
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@0
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@0
(+ 1 (exp (/ (neg x) s)))
1.0ms
s
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@-inf
(/ 1 (+ 1 (exp (/ (neg x) s))))

rewrite301.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
2170×/-lowering-/.f32
2170×/-lowering-/.f64
2002×*-lowering-*.f32
2002×*-lowering-*.f64
1654×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
14422
226422
3222822
0856122
Stop Event
1×iter limit
1×node limit
Counts
4 → 358
Calls
Call 1
Inputs
(neg x)
(/ 1 (+ 1 (exp (/ (neg x) s))))
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
Outputs
(neg.f32 x)
(neg.f32 (log.f32 (exp.f32 x)))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(pow.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x))) #s(literal -1 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.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) x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) x)
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 x)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(-.f32 (/.f32 #s(literal 0 binary32) x) x)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x)))))
(/.f32 (*.f32 x (*.f32 x x)) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 x x))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)))) x)
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 x))
(*.f32 x #s(literal -1 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) x))
(log.f32 (/.f32 #s(literal 1 binary32) (exp.f32 x)))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) (*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (*.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(+.f32 (*.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (*.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (neg.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(fma.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (*.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 4 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 4 binary32))))) (neg.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 4 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 4 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (neg.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 9 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (*.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
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(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))))
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(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) #s(literal 1 binary32))))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
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(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
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(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))))
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(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (-.f32 #s(literal 0 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) x))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (exp.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 0 binary32) (*.f32 x x))) (exp.f32 (/.f32 x s)))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 0 binary32) x)) (exp.f32 (/.f32 x s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32))
(*.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(*.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))

simplify184.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
3402×*-lowering-*.f32
3402×*-lowering-*.f64
1910×+-lowering-+.f64
1910×+-lowering-+.f32
1082×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0140619
1405590
21412584
35765584
08529584
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
Outputs
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))

eval39.0ms (0.4%)

Compiler

Compiled 10583 to 1264 computations (88.1% saved)

prune68.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New43111442
Fresh000
Picked011
Done000
Total43112443
Accuracy
99.9%
Counts
443 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))))))
▶41.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
53.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
▶50.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶22.5%
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
28.2%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
64.9%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
▶35.7%
#s(literal 1/2 binary32)
Compiler

Compiled 415 to 278 computations (33% saved)

simplify203.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))
✓cost-diff192
(*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))
✓cost-diff192
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
✓cost-diff192
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))
✓cost-diff64
(+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32)))
✓cost-diff64
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s)
✓cost-diff64
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓cost-diff0
(E.f32)
✓cost-diff0
(pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
Rules
2836×*-lowering-*.f32
2836×*-lowering-*.f64
1970×sum5-define
1180×sum4-define
1164×sum3-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
038272
194261
2248261
3562260
41214251
52733247
67120245
08079245
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (E) (- 0 (/ x s)))))
1
(+ 1 (pow (E) (- 0 (/ x s))))
(pow (E) (- 0 (/ x s)))
(E)
(- 0 (/ x s))
0
(/ x s)
x
s
1/2
(/ 1 (- 2 (/ x s)))
1
(- 2 (/ x s))
2
(/ x s)
x
s
(- 1/2 (/ (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4)) s))
1/2
(/ (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4)) s)
(+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4))
(/ (* 1/48 (* x (* x x))) (* s s))
(* 1/48 (* x (* x x)))
1/48
(* x (* x x))
x
(* x x)
(* s s)
s
(* x -1/4)
-1/4
(/ 1 (+ 2 (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s)))))
1
(+ 2 (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s))))
2
(* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s)))
x
(+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s))
(* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s))))
(+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))
(/ (* x -1/6) (* s (* s s)))
(* x -1/6)
-1/6
(* s (* s s))
s
(* s s)
(/ 1/2 (* s s))
1/2
(/ -1 s)
-1
Outputs
(/ 1 (+ 1 (pow (E) (- 0 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1
#s(literal 1 binary32)
(+ 1 (pow (E) (- 0 (/ x s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(pow (E) (- 0 (/ x s)))
(pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(E)
(E.f32)
(- 0 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
0
#s(literal 0 binary32)
(/ x s)
(/.f32 x s)
x
s
1/2
#s(literal 1/2 binary32)
(/ 1 (- 2 (/ x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(- 2 (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(/ x s)
(/.f32 x s)
x
s
(- 1/2 (/ (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4)) s))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/48 binary32))) s)))
1/2
#s(literal 1/2 binary32)
(/ (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4)) s)
(*.f32 x (/.f32 (+.f32 #s(literal -1/4 binary32) (*.f32 #s(literal 1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s))
(+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4))
(*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 #s(literal 1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))))
(/ (* 1/48 (* x (* x x))) (* s s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal 1/48 binary32)))) (*.f32 s s))
(* 1/48 (* x (* x x)))
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/48 binary32))))
1/48
#s(literal 1/48 binary32)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
(* s s)
(*.f32 s s)
s
(* x -1/4)
(*.f32 x #s(literal -1/4 binary32))
-1/4
#s(literal -1/4 binary32)
(/ 1 (+ 2 (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))))
2
#s(literal 2 binary32)
(* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s)))
(*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))
x
(+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s))
(+.f32 (/.f32 (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 #s(literal -1 binary32) s))
(* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s))))
(/.f32 (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)
(+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))
(+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(/ (* x -1/6) (* s (* s s)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
s
(* s s)
(*.f32 s s)
(/ 1/2 (* s s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
1/2
#s(literal 1/2 binary32)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)

localize173.0ms (1.7%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy96.1%
(*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))
✓accuracy94.1%
(*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
✓accuracy93.4%
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
✓accuracy76.2%
(+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓accuracy99.8%
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s)
✓accuracy99.7%
(*.f32 x (*.f32 x x))
✓accuracy99.6%
(*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x)))
✓accuracy82.3%
(/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy96.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
✓accuracy99.8%
(pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
✓accuracy99.3%
(E.f32)
Results
109.0ms254×0valid
3.0ms2×5exit
Compiler

Compiled 314 to 39 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 23.0ms (31.5% of total)
ival-mult: 15.0ms (20.6% of total)
ival-pow: 11.0ms (15.1% of total)
...c/correct-round.rkt:119:19: 9.0ms (12.3% of total)
ival-add: 6.0ms (8.2% of total)
ival-sub: 4.0ms (5.5% of total)
ival-e: 3.0ms (4.1% of total)
backward-pass: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)

series64.0ms (0.6%)

Counts
20 → 432
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (pow (E) (- 0 (/ x s)))))>
#<alt (+ 1 (pow (E) (- 0 (/ x s))))>
#<alt (pow (E) (- 0 (/ x s)))>
#<alt (E)>
#<alt (/ 1 (- 2 (/ x s)))>
#<alt (- 2 (/ x s))>
#<alt (/ x s)>
#<alt (- 1/2 (/ (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4)) s))>
#<alt (/ (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4)) s)>
#<alt (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4))>
#<alt (/ (* 1/48 (* x (* x x))) (* s s))>
#<alt (/ 1 (+ 2 (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s)))))>
#<alt (+ 2 (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s))))>
#<alt (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s)))>
#<alt (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s))>
#<alt (* 1/48 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))>
#<alt (/ (* x -1/6) (* s (* s s)))>
#<alt (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s))))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))>
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#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
Calls

108 calls:

TimeVariablePointExpression
19.0ms
s
@0
(/ 1 (+ 2 (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s)))))
7.0ms
s
@-inf
(/ 1 (+ 1 (pow (E) (- 0 (/ x s)))))
3.0ms
x
@inf
(/ (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4)) s)
1.0ms
s
@inf
(+ 1 (pow (E) (- 0 (/ x s))))
1.0ms
s
@inf
(/ 1 (+ 1 (pow (E) (- 0 (/ x s)))))

rewrite365.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3408×*-lowering-*.f32
3408×*-lowering-*.f64
3050×pow-lowering-pow.f64
3050×pow-lowering-pow.f32
2342×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038218
1280204
22909204
08278204
Stop Event
1×iter limit
1×node limit
Counts
20 → 604
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (E) (- 0 (/ x s)))))
(+ 1 (pow (E) (- 0 (/ x s))))
(pow (E) (- 0 (/ x s)))
(E)
(/ 1 (- 2 (/ x s)))
(- 2 (/ x s))
(/ x s)
(- 1/2 (/ (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4)) s))
(/ (+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4)) s)
(+ (/ (* 1/48 (* x (* x x))) (* s s)) (* x -1/4))
(/ (* 1/48 (* x (* x x))) (* s s))
(/ 1 (+ 2 (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s)))))
(+ 2 (* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s))))
(* x (+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s)))
(+ (* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))) (/ -1 s))
(* 1/48 (* x (* x x)))
(* x (* x x))
(+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s)))
(/ (* x -1/6) (* s (* s s)))
(* x (+ (/ (* x -1/6) (* s (* s s))) (/ 1/2 (* s s))))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (neg.f32 (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (neg.f32 (/.f32 x s)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))
(+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (neg.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 (E.f32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (neg.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (neg.f32 (/.f32 x s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))))) (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (neg.f32 (/.f32 x s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32)))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (neg.f32 (/.f32 x s)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 (-.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (/.f32 x s))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (neg.f32 (/.f32 x s)))))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(exp.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(exp.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (E.f32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (E.f32) (neg.f32 (/.f32 x s)))
(pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (E.f32) (*.f32 (/.f32 x s) #s(literal -1 binary32)))
(pow.f32 (E.f32) (*.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) #s(literal 2 binary32)))
(pow.f32 (E.f32) (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)))
(pow.f32 (E.f32) (+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (E.f32) (+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (neg.f32 (/.f32 x s))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))
(pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (+.f32 (neg.f32 (/.f32 x s)) (neg.f32 (/.f32 x s))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (E.f32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (E.f32) x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (pow.f32 (E.f32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
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(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) x) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x) (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))
(fma.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) x (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(fma.f32 (*.f32 x (/.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)))) (/.f32 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32)))) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) (-.f32 (*.f32 (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) (*.f32 (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))))
(/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32))))) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s))))
(/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s))))))
(/.f32 (*.f32 x (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s)))) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s)))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) x) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s))))
(/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s))))))
(/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) x) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s)))
(*.f32 x (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)

simplify305.0ms (3%)

Algorithm
1×egg-herbie
Rules
3680×*-lowering-*.f32
3680×*-lowering-*.f64
1914×sum3-define
1886×+-lowering-+.f64
1886×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06474892
121594487
272434485
087724485
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
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(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
1/2
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(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
2
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(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
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(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
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(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
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1
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(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
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(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
1
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1
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1/2
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(/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)
(* -1 (/ s x))
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(* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))
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1/2
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1/2
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2
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(/ (- (* 2 s) x) s)
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2
(+ 2 (* -1 (/ x s)))
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2
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(/ x s)
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1/2
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1/2
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1/2
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(/ (+ (* -1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 2))
(/ (+ (* -1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 2))
(/ (+ (* -1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 2))
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(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* 1/48 (/ (pow x 3) (pow s 2)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* -1/6 (/ x (pow s 3)))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ x (pow s 3)))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1/6 (/ x (pow s 3)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* -1/6 (/ x (pow s 3)))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) #s(literal 0 binary32)) (neg.f32 x)) #s(literal 0 binary32))) (/.f32 #s(literal 1/4 binary32) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 x #s(literal 0 binary32))) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) (+.f32 (*.f32 x #s(literal 0 binary32)) #s(literal 0 binary32))) (neg.f32 s)) (*.f32 x #s(literal -1/4 binary32))) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
2
#s(literal 2 binary32)
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(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 x))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* 1/2 (/ x (pow s 2)))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (*.f32 s (*.f32 s s)))
(* 1/2 (/ x (pow s 2)))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) (*.f32 s s))

eval110.0ms (1.1%)

Compiler

Compiled 27500 to 3378 computations (87.7% saved)

prune139.0ms (1.4%)

Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1053311084
Fresh426
Picked325
Done011
Total1060361096
Accuracy
99.9%
Counts
1096 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.8%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
18.4%
(/.f32 (+.f32 (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))
32.9%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
▶32.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
53.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
✓41.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
41.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
53.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
▶50.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))))
▶56.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s)))))
55.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s))))
49.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s))) (*.f32 s (*.f32 s s))))))
53.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
48.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
8.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
33.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) x) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
16.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) x) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
29.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
55.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
51.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
51.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
53.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
47.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
34.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x s)))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
32.6%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
40.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
20.2%
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
26.0%
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 x (*.f32 x x))) s) (*.f32 x #s(literal -1/4 binary32))) s))
26.1%
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
28.2%
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
▶18.9%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
64.9%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
✓35.7%
#s(literal 1/2 binary32)
Compiler

Compiled 1683 to 1040 computations (38.2% saved)

simplify201.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))
✓cost-diff128
(+.f32 (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
✓cost-diff128
(+.f32 #s(literal 2 binary32) (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))))
✓cost-diff96
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s))
✓cost-diff96
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s)))
✓cost-diff96
(+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s))))
✓cost-diff96
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s)))))
✓cost-diff0
(/.f32 (*.f32 x (*.f32 x x)) s)
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
✓cost-diff0
(/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
✓cost-diff0
(/.f32 s x)
✓cost-diff0
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s))))
✓cost-diff3520
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x s)))))
✓cost-diff3520
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x s))))))
✓cost-diff3520
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x s)))))))
Rules
2370×*-lowering-*.f32
2370×*-lowering-*.f64
1898×sum3-define
1736×sum4-define
1680×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047438
1124418
2310388
3778364
42753347
55558347
08135347
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))))
1
(+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s))))))
(* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))
(/ 1 (exp (* 2/3 (/ x s))))
(exp (* 2/3 (/ x s)))
(* 2/3 (/ x s))
2/3
(/ x s)
x
s
(/ 1 (exp (* 1/3 (/ x s))))
(exp (* 1/3 (/ x s)))
(* 1/3 (/ x s))
1/3
(- 0 (/ s x))
0
(/ s x)
s
x
(/ 1 (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))
1
(/ (* -1/6 (/ (* x (* x x)) s)) (* s s))
(* -1/6 (/ (* x (* x x)) s))
-1/6
(/ (* x (* x x)) s)
(* x (* x x))
x
(* x x)
s
(* s s)
(/ 1 (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s)))))
1
(+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s))))
2
(* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s)))
x
(/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s))
(- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s))
(/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)
(+ (* 1/2 x) (/ (* (* x x) -1/6) s))
(* 1/2 x)
1/2
(/ (* (* x x) -1/6) s)
(* (* x x) -1/6)
(* x x)
-1/6
s
(neg s)
(/ 1 (+ 2 (+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))))
1
(+ 2 (+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s))))
2
(+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))
(* x (/ (+ -1 (* 1/2 (/ x s))) s))
x
(/ (+ -1 (* 1/2 (/ x s))) s)
(+ -1 (* 1/2 (/ x s)))
-1
(* 1/2 (/ x s))
1/2
(/ x s)
s
(/ (* -1/6 (/ (* x (* x x)) s)) (* s s))
(* -1/6 (/ (* x (* x x)) s))
-1/6
(/ (* x (* x x)) s)
(* x (* x x))
(* x x)
(* s s)
Outputs
(/ 1 (+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1
#s(literal 1 binary32)
(+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s))))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/ 1 (exp (* 2/3 (/ x s))))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2/3 binary32)))
(exp (* 2/3 (/ x s)))
(exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s)))
(* 2/3 (/ x s))
(*.f32 #s(literal 2/3 binary32) (/.f32 x s))
2/3
#s(literal 2/3 binary32)
(/ x s)
(/.f32 x s)
x
s
(/ 1 (exp (* 1/3 (/ x s))))
(exp.f32 (/.f32 (*.f32 x #s(literal -1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (*.f32 x (/.f32 #s(literal 1/3 binary32) s)))
(* 1/3 (/ x s))
(*.f32 x (/.f32 #s(literal 1/3 binary32) s))
1/3
#s(literal 1/3 binary32)
(- 0 (/ s x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
0
#s(literal 0 binary32)
(/ s x)
(/.f32 s x)
s
x
(/ 1 (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))
(/.f32 s (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)))
1
#s(literal 1 binary32)
(/ (* -1/6 (/ (* x (* x x)) s)) (* s s))
(/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))
(* -1/6 (/ (* x (* x x)) s))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)
-1/6
#s(literal -1/6 binary32)
(/ (* x (* x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
s
(* s s)
(*.f32 s s)
(/ 1 (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (-.f32 (*.f32 (/.f32 x s) #s(literal 1/6 binary32)) #s(literal 1/2 binary32))) s)))))
1
#s(literal 1 binary32)
(+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s))))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (-.f32 (*.f32 (/.f32 x s) #s(literal 1/6 binary32)) #s(literal 1/2 binary32))) s))))
2
#s(literal 2 binary32)
(* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s)))
(*.f32 (/.f32 x s) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (-.f32 (*.f32 (/.f32 x s) #s(literal 1/6 binary32)) #s(literal 1/2 binary32))) s)))
x
(/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (-.f32 (*.f32 (/.f32 x s) #s(literal 1/6 binary32)) #s(literal 1/2 binary32))) s)) s)
(- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (-.f32 (*.f32 (/.f32 x s) #s(literal 1/6 binary32)) #s(literal 1/2 binary32))) s))
(/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)
(+ (* 1/2 x) (/ (* (* x x) -1/6) s))
(*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(/ (* (* x x) -1/6) s)
(/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) 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)
s
(neg s)
(neg.f32 s)
(/ 1 (+ 2 (+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)))))))
1
#s(literal 1 binary32)
(+ 2 (+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s))))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))))))
2
#s(literal 2 binary32)
(+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))
(*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)))))
(* x (/ (+ -1 (* 1/2 (/ x s))) s))
(/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))) s)
x
(/ (+ -1 (* 1/2 (/ x s))) s)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) s)
(+ -1 (* 1/2 (/ x s)))
(+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))
-1
#s(literal -1 binary32)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
1/2
#s(literal 1/2 binary32)
(/ x s)
(/.f32 x s)
s
(/ (* -1/6 (/ (* x (* x x)) s)) (* s s))
(/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))
(* -1/6 (/ (* x (* x x)) s))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)
-1/6
#s(literal -1/6 binary32)
(/ (* x (* x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* x (* x x))
(*.f32 x (*.f32 x x))
(* x x)
(*.f32 x x)
(* s s)
(*.f32 s s)

localize266.0ms (2.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy96.7%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy96.2%
(*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))
✓accuracy87.8%
(/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
✓accuracy72.6%
(+.f32 (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
✓accuracy99.6%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy99.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s)))))
✓accuracy96.8%
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s)))
✓accuracy91.3%
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
✓accuracy99.7%
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
✓accuracy99.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
✓accuracy96.7%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy87.8%
(/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
✓accuracy100.0%
(/.f32 s x)
✓accuracy100.0%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓accuracy99.8%
(exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x s)))
✓accuracy99.8%
(exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s)))
✓accuracy99.3%
(*.f32 #s(literal 2/3 binary32) (/.f32 x s))
✓accuracy98.7%
(*.f32 #s(literal 1/3 binary32) (/.f32 x s))
Results
108.0ms176×0valid
73.0ms80×0unsamplable
Compiler

Compiled 488 to 48 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-div: 37.0ms (41.9% of total)
ival-mult: 22.0ms (24.9% of total)
...c/correct-round.rkt:119:19: 13.0ms (14.7% of total)
ival-add: 7.0ms (7.9% of total)
ival-exp: 4.0ms (4.5% of total)
ival-sub: 3.0ms (3.4% of total)
const: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.6%)

Counts
24 → 564
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))))>
#<alt (+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s))))))>
#<alt (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))>
#<alt (/ 1 (exp (* 2/3 (/ x s))))>
#<alt (- 0 (/ s x))>
#<alt (/ s x)>
#<alt (/ 1 (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))>
#<alt (/ (* -1/6 (/ (* x (* x x)) s)) (* s s))>
#<alt (* -1/6 (/ (* x (* x x)) s))>
#<alt (/ (* x (* x x)) s)>
#<alt (/ 1 (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s)))))>
#<alt (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s))))>
#<alt (* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s)))>
#<alt (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s))>
#<alt (/ 1 (+ 2 (+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))))>
#<alt (+ 2 (+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s))))>
#<alt (+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))>
#<alt (* x (/ (+ -1 (* 1/2 (/ x s))) s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (/ (* (* x x) -1/6) s)>
#<alt (* (* x x) -1/6)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt (/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (+ (* 1/3 x) (* 2/3 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (* -1/8 (pow (+ (* 1/3 x) (* 2/3 x)) 2))) (pow s 2)))) (* -1/4 (/ (+ (* 1/3 x) (* 2/3 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* 1/3 x) (* 2/3 x)))) (+ (* -1 (* (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) (+ (* 1/3 x) (* 2/3 x)))) (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3)))))))) (+ (* -1/8 (* (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* 1/3 x) (* 2/3 x)))) (* 1/2 (* (+ (* -1/4 (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (* -1/8 (pow (+ (* 1/3 x) (* 2/3 x)) 2))) (+ (* 1/3 x) (* 2/3 x)))))) (pow s 3)))) (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (pow s 2))) (+ (* -1/4 (/ (+ (* 1/3 x) (* 2/3 x)) s)) (* -1/8 (/ (pow (+ (* 1/3 x) (* 2/3 x)) 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) s)) (* -1/8 (/ (pow (+ (* -2/3 x) (* -1/3 x)) 2) s))) (* -1/4 (+ (* -2/3 x) (* -1/3 x)))) s)))>
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#<alt 1>
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#<alt 1/2>
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#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (/ -1 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 1/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt 1>
#<alt (+ 1 (* 2/3 (/ x s)))>
#<alt (+ 1 (* x (+ (* 2/9 (/ x (pow s 2))) (* 2/3 (/ 1 s)))))>
#<alt (+ 1 (* x (+ (* x (+ (* 4/81 (/ x (pow s 3))) (* 2/9 (/ 1 (pow s 2))))) (* 2/3 (/ 1 s)))))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* 2/3 (/ x s)))>
#<alt (+ 1 (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s))))>
#<alt (+ 1 (+ (* 4/81 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s)))))>
#<alt 1>
#<alt (+ 1 (* 2/3 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ (* -2/3 x) (* -2/9 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4/81 (/ (pow x 3) s)) (* 2/9 (pow x 2))) s)) (* -2/3 x)) s)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ x s)))>
#<alt (+ 1 (* x (+ (* 1/18 (/ x (pow s 2))) (* 1/3 (/ 1 s)))))>
#<alt (+ 1 (* x (+ (* x (+ (* 1/162 (/ x (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt (exp (* 1/3 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ x s)))>
#<alt (+ 1 (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 1/3 (/ x s))))>
#<alt (+ 1 (+ (* 1/162 (/ (pow x 3) (pow s 3))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 1/3 (/ x s)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/3 x) (* -1/18 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (/ (pow x 3) s)) (* 1/18 (pow x 2))) s)) (* -1/3 x)) s)))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* -1/6 (/ (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))>
Calls

141 calls:

TimeVariablePointExpression
7.0ms
s
@0
(/ 1 (+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))))
4.0ms
s
@0
(+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s))))))
2.0ms
x
@inf
(* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s)))
2.0ms
s
@inf
(/ 1 (+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))))
2.0ms
s
@-inf
(/ 1 (+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))))

rewrite373.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
3154×*-lowering-*.f32
3154×*-lowering-*.f64
2632×fma-lowering-fma.f32
2632×fma-lowering-fma.f64
1818×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047291
1301267
22839255
08244255
Stop Event
1×iter limit
1×node limit
Counts
24 → 593
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))))
(+ 1 (* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s))))))
(* (/ 1 (exp (* 2/3 (/ x s)))) (/ 1 (exp (* 1/3 (/ x s)))))
(/ 1 (exp (* 2/3 (/ x s))))
(- 0 (/ s x))
(/ s x)
(/ 1 (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))
(/ (* -1/6 (/ (* x (* x x)) s)) (* s s))
(* -1/6 (/ (* x (* x x)) s))
(/ (* x (* x x)) s)
(/ 1 (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s)))))
(+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s))))
(* x (/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s)))
(/ (- 1 (/ (+ (* 1/2 x) (/ (* (* x x) -1/6) s)) s)) (neg s))
(/ 1 (+ 2 (+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))))
(+ 2 (+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s))))
(+ (* x (/ (+ -1 (* 1/2 (/ x s))) s)) (/ (* -1/6 (/ (* x (* x x)) s)) (* s s)))
(* x (/ (+ -1 (* 1/2 (/ x s))) s))
(* 1/3 (/ x s))
(* 2/3 (/ x s))
(exp (* 2/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(/ (* (* x x) -1/6) s)
(* (* x x) -1/6)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32)) (*.f32 (/.f32 x s) #s(literal -2/3 binary32)))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32)) (*.f32 (/.f32 x s) #s(literal -2/3 binary32))))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32)) (*.f32 (/.f32 x s) #s(literal -2/3 binary32))))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32)) (*.f32 (/.f32 x s) #s(literal -2/3 binary32))))))) #s(literal -1 binary32))
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(neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))))
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)
(/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) #s(literal -1 binary32)) s)
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s))
(*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))
(*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))
(*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) s))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x x))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) x)

simplify333.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
4524×*-lowering-*.f32
4524×*-lowering-*.f64
3644×+-lowering-+.f64
3644×+-lowering-+.f32
1416×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06446261
121505709
087645709
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
1/2
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(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* 1/3 x) (* 2/3 x)))) (+ (* -1 (* (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) (+ (* 1/3 x) (* 2/3 x)))) (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3)))))))) (+ (* -1/8 (* (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* 1/3 x) (* 2/3 x)))) (* 1/2 (* (+ (* -1/4 (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (* -1/8 (pow (+ (* 1/3 x) (* 2/3 x)) 2))) (+ (* 1/3 x) (* 2/3 x)))))) (pow s 3)))) (+ (* -1/4 (/ (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (pow s 2))) (+ (* -1/4 (/ (+ (* 1/3 x) (* 2/3 x)) s)) (* -1/8 (/ (pow (+ (* 1/3 x) (* 2/3 x)) 2) (pow s 2))))))
1/2
(+ 1/2 (* -1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) s)) (* -1/8 (/ (pow (+ (* -2/3 x) (* -1/3 x)) 2) s))) (* -1/4 (+ (* -2/3 x) (* -1/3 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* -2/3 x) (* -1/3 x)))) (+ (* -1 (* (+ (* -2/3 x) (* -1/3 x)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (+ (* -2/27 (pow x 3)) (+ (* -4/81 (pow x 3)) (+ (* -1/27 (pow x 3)) (* -1/162 (pow x 3))))))) s)) (+ (* -1/8 (/ (* (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* -2/3 x) (* -1/3 x))) s)) (* 1/2 (/ (* (+ (* -2/3 x) (* -1/3 x)) (+ (* -1/4 (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (* -1/8 (pow (+ (* -2/3 x) (* -1/3 x)) 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (* -1/8 (pow (+ (* -2/3 x) (* -1/3 x)) 2)))) s)) (* -1/4 (+ (* -2/3 x) (* -1/3 x)))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
2
(+ 2 (* -1 (/ (+ (* 1/3 x) (* 2/3 x)) s)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (pow s 2)))) (+ (* 1/3 (/ x s)) (* 2/3 (/ x s))))
(- (+ 2 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* 1/3 x) (* 2/3 x)))) (+ (* -1 (* (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) (+ (* 1/3 x) (* 2/3 x)))) (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3))))))) (pow s 3)))) (+ (* -1 (/ (pow (+ (* 1/3 x) (* 2/3 x)) 2) (pow s 2))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ x s)) (+ (* 4/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s)))))))
2
(+ 2 (+ (* -2/3 (/ x s)) (* -1/3 (/ x s))))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -2/3 x) (* -1/3 x)) 2) s)) (+ (* 1/18 (/ (pow x 2) s)) (* 4/9 (/ (pow x 2) s)))) (+ (* -2/3 x) (* -1/3 x))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* -2/3 x) (* -1/3 x))) s)) (+ (* -1 (/ (* (+ (* -2/3 x) (* -1/3 x)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) s)) (+ (* -2/27 (/ (pow x 3) s)) (+ (* -4/81 (/ (pow x 3) s)) (+ (* -1/27 (/ (pow x 3) s)) (* -1/162 (/ (pow x 3) s))))))) (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) s)) (+ (* -2/3 x) (* -1/3 x))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
1
(+ 1 (* -1 (/ (+ (* 1/3 x) (* 2/3 x)) s)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (pow s 2)))) (+ (* 1/3 (/ x s)) (* 2/3 (/ x s))))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* 1/3 x) (* 2/3 x)))) (+ (* -1 (* (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) (+ (* 1/3 x) (* 2/3 x)))) (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3))))))) (pow s 3)))) (+ (* -1 (/ (pow (+ (* 1/3 x) (* 2/3 x)) 2) (pow s 2))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ x s)) (+ (* 4/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s)))))))
1
(+ 1 (+ (* -2/3 (/ x s)) (* -1/3 (/ x s))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -2/3 x) (* -1/3 x)) 2) s)) (+ (* 1/18 (/ (pow x 2) s)) (* 4/9 (/ (pow x 2) s)))) (+ (* -2/3 x) (* -1/3 x))) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) (+ (* -2/3 x) (* -1/3 x))) s)) (+ (* -1 (/ (* (+ (* -2/3 x) (* -1/3 x)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) s)) (+ (* -2/27 (/ (pow x 3) s)) (+ (* -4/81 (/ (pow x 3) s)) (+ (* -1/27 (/ (pow x 3) s)) (* -1/162 (/ (pow x 3) s))))))) (+ (* -1 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) s)) (+ (* -2/3 x) (* -1/3 x))) s)))
1
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(+ 1 (* x (- (* 2/9 (/ x (pow s 2))) (* 2/3 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -4/81 (/ x (pow s 3))) (* 2/9 (/ 1 (pow s 2))))) (* 2/3 (/ 1 s)))))
(/ 1 (exp (* 2/3 (/ x s))))
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(/ 1 (exp (* 2/3 (/ x s))))
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(/ 1 (exp (* 2/3 (/ x s))))
1
(+ 1 (* -2/3 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -4/9 (pow x 2)) (* 2/9 (pow x 2))) (pow s 2)))) (* 2/3 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -2/3 (* x (+ (* -4/9 (pow x 2)) (* 2/9 (pow x 2))))) (+ (* -4/27 (pow x 3)) (* 4/81 (pow x 3)))) (pow s 3)))) (+ (* -4/9 (/ (pow x 2) (pow s 2))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s)))))
1
(+ 1 (* -2/3 (/ x s)))
(+ 1 (* -1 (/ (- (+ (* -4/9 (/ (pow x 2) s)) (* 2/9 (/ (pow x 2) s))) (* -2/3 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4/81 (/ (pow x 3) s)) (+ (* 4/27 (/ (pow x 3) s)) (* 2/3 (/ (* x (+ (* -4/9 (pow x 2)) (* 2/9 (pow x 2)))) s)))) (+ (* -4/9 (pow x 2)) (* 2/9 (pow x 2)))) s)) (* -2/3 x)) s)))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
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(* -1 (/ s x))
(* -1 (/ s x))
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(* -1 (/ s x))
(* -1 (/ s x))
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(* -1 (/ s x))
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(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(/ s x)
(/ s x)
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(/ s x)
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(/ s x)
(/ s x)
(/ s x)
(/ s x)
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(/ s x)
(/ s x)
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(/ s x)
(* -6 (/ (pow s 3) (pow x 3)))
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(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
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(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (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)))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
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(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
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(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 1/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
1
(+ 1 (* 2/3 (/ x s)))
(+ 1 (* x (+ (* 2/9 (/ x (pow s 2))) (* 2/3 (/ 1 s)))))
(+ 1 (* x (+ (* x (+ (* 4/81 (/ x (pow s 3))) (* 2/9 (/ 1 (pow s 2))))) (* 2/3 (/ 1 s)))))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
1
(+ 1 (* 2/3 (/ x s)))
(+ 1 (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s))))
(+ 1 (+ (* 4/81 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s)))))
1
(+ 1 (* 2/3 (/ x s)))
(+ 1 (* -1 (/ (+ (* -2/3 x) (* -2/9 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4/81 (/ (pow x 3) s)) (* 2/9 (pow x 2))) s)) (* -2/3 x)) s)))
1
(+ 1 (* 1/3 (/ x s)))
(+ 1 (* x (+ (* 1/18 (/ x (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* x (+ (* x (+ (* 1/162 (/ x (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
(exp (* 1/3 (/ x s)))
1
(+ 1 (* 1/3 (/ x s)))
(+ 1 (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 1/3 (/ x s))))
(+ 1 (+ (* 1/162 (/ (pow x 3) (pow s 3))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 1/3 (/ x s)))))
1
(+ 1 (* 1/3 (/ x s)))
(+ 1 (* -1 (/ (+ (* -1/3 x) (* -1/18 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (/ (pow x 3) s)) (* 1/18 (pow x 2))) s)) (* -1/3 x)) s)))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (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))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s)) (/.f32 #s(literal 1/4 binary32) s))))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s)) (/.f32 #s(literal 1/4 binary32) s))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (* (exp (* 1/3 (/ x s))) (exp (* 2/3 (/ x s)))))))
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#s(literal 2 binary32)
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(/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) (neg.f32 s))
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(/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) s)
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) s)
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
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(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x s)) (*.f32 s s))
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(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
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(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
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(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
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(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
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(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 1/3 (/ x s))
(/.f32 (*.f32 x #s(literal 1/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
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(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
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(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
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(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
(* 2/3 (/ x s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) s)
1
#s(literal 1 binary32)
(+ 1 (* 2/3 (/ x s)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(+ 1 (* x (+ (* 2/9 (/ x (pow s 2))) (* 2/3 (/ 1 s)))))
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(+ 1 (* x (+ (* x (+ (* 4/81 (/ x (pow s 3))) (* 2/9 (/ 1 (pow s 2))))) (* 2/3 (/ 1 s)))))
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(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(exp (* 2/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
1
#s(literal 1 binary32)
(+ 1 (* 2/3 (/ x s)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2/3 binary32)) s))
(+ 1 (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s))))
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(+ 1 (+ (* 4/81 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s)))))
(+.f32 (*.f32 x (+.f32 (/.f32 #s(literal 2/3 binary32) s) (*.f32 x (/.f32 #s(literal 2/9 binary32) (*.f32 s s))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 4/81 binary32) (*.f32 x (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s)))))
1
#s(literal 1 binary32)
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4/81 (/ (pow x 3) s)) (* 2/9 (pow x 2))) s)) (* -2/3 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 x #s(literal -2/3 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal 2/9 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/81 binary32)) s)) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (/ x s)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(+ 1 (* x (+ (* 1/18 (/ x (pow s 2))) (* 1/3 (/ 1 s)))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1/3 binary32) s) (*.f32 x (/.f32 #s(literal 1/18 binary32) (*.f32 s s))))))
(+ 1 (* x (+ (* x (+ (* 1/162 (/ x (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1/3 binary32) s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal 1/162 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))))))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(exp (* 1/3 (/ x s)))
(exp.f32 (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (/ x s)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(+ 1 (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 1/3 (/ x s))))
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(+ 1 (+ (* 1/162 (/ (pow x 3) (pow s 3))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 1/3 (/ x s)))))
(+.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/3 binary32) s) (*.f32 x (/.f32 #s(literal 1/18 binary32) (*.f32 s s))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/162 binary32))) (*.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
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(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 1/3 binary32)) s))
(+ 1 (* -1 (/ (+ (* -1/3 x) (* -1/18 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal -1/3 binary32)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/18 binary32))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (/ (pow x 3) s)) (* 1/18 (pow x 2))) s)) (* -1/3 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 x #s(literal -1/3 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal 1/18 binary32)) (*.f32 #s(literal 1/162 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s))
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 2) s))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))

eval146.0ms (1.4%)

Compiler

Compiled 33578 to 3090 computations (90.8% saved)

prune170.0ms (1.7%)

Pruning

49 alts after pruning (46 fresh and 3 done)

PrunedKeptTotal
New1287261313
Fresh82028
Picked505
Done033
Total1300491349
Accuracy
99.9%
Counts
1349 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(/.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
32.0%
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
32.0%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
17.8%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
18.4%
(/.f32 (+.f32 (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))
32.0%
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
17.1%
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
▶18.9%
(/.f32 (neg.f32 s) x)
▶32.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
33.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
53.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))
✓41.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
41.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
18.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) s) (*.f32 x (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) (/.f32 x s))))) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) (/.f32 x s))))))
50.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) s) (*.f32 s (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 s s))))
16.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 s (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) s))))
55.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s))))))
49.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))))
55.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
▶55.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s)))))
55.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))) s)) (neg.f32 s)))))
55.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s))))
53.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
48.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
33.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) x) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
16.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) x) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
29.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
55.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
51.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
51.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
47.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
34.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
32.6%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
40.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
20.2%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
33.2%
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
26.0%
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 x (*.f32 x x))) s) (*.f32 x #s(literal -1/4 binary32))) s))
26.1%
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
28.2%
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
18.9%
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
▶31.6%
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
64.9%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
12.5%
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
18.9%
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
31.6%
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
✓35.7%
#s(literal 1/2 binary32)
Compiler

Compiled 2117 to 1304 computations (38.4% saved)

simplify223.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff160
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s))
✓cost-diff160
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s)))
✓cost-diff160
(+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s))))
✓cost-diff160
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s)))))
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))
✓cost-diff64
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
✓cost-diff64
(/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s)
✓cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
✓cost-diff0
(*.f32 x (*.f32 x x))
✓cost-diff0
(/.f32 (*.f32 x (*.f32 x x)) s)
✓cost-diff0
(/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))
✓cost-diff0
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
✓cost-diff-32
(/.f32 (neg.f32 s) x)
✓cost-diff0
(neg.f32 s)
✓cost-diff0
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32)))
✓cost-diff3392
(/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x))))
✓cost-diff3392
(+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x)))))
✓cost-diff3392
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x))))))
Rules
2508×*-lowering-*.f32
2508×*-lowering-*.f64
2254×/-lowering-/.f32
2254×/-lowering-/.f64
1260×--lowering--.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
043324
1112301
2308283
3960264
42936261
55513255
08313255
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))))
1
(+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x)))))
(/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))
(exp (* (/ x s) -1/3))
(* (/ x s) -1/3)
(/ x s)
x
s
-1/3
(exp (/ 2/3 (/ s x)))
(/ 2/3 (/ s x))
2/3
(/ s x)
(/ (neg s) x)
(neg s)
s
x
(* (/ s (/ (* x (* x x)) s)) (/ s -1/6))
(/ s (/ (* x (* x x)) s))
s
(/ (* x (* x x)) s)
(* x (* x x))
x
(* x x)
(/ s -1/6)
-1/6
(/ 1 (/ (* (* -1/6 (* x (* x x))) (/ 1 (* s s))) s))
1
(/ (* (* -1/6 (* x (* x x))) (/ 1 (* s s))) s)
(* (* -1/6 (* x (* x x))) (/ 1 (* s s)))
(* -1/6 (* x (* x x)))
-1/6
(* x (* x x))
x
(* x x)
(/ 1 (* s s))
(* s s)
s
(/ 1 (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s)))))
1
(+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s))))
2
(* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s)))
x
(/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s))
(- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s))
(/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)
(+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s))))
(* 1/2 x)
1/2
(* x (* (* x -1/6) (/ 1 s)))
(* (* x -1/6) (/ 1 s))
(* x -1/6)
-1/6
(/ 1 s)
s
(neg s)
Outputs
(/ 1 (+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1
#s(literal 1 binary32)
(+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* (/ x s) -1/3))
(exp.f32 (/.f32 (*.f32 x #s(literal -1/3 binary32)) s))
(* (/ x s) -1/3)
(/.f32 (*.f32 x #s(literal -1/3 binary32)) s)
(/ x s)
(/.f32 x s)
x
s
-1/3
#s(literal -1/3 binary32)
(exp (/ 2/3 (/ s x)))
(exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x)))
(/ 2/3 (/ s x))
(/.f32 #s(literal 2/3 binary32) (/.f32 s x))
2/3
#s(literal 2/3 binary32)
(/ s x)
(/.f32 s x)
(/ (neg s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(neg s)
(neg.f32 s)
s
x
(* (/ s (/ (* x (* x x)) s)) (/ s -1/6))
(/.f32 s (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)))
(/ s (/ (* x (* x x)) s))
(/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))
s
(/ (* x (* x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
(/ s -1/6)
(/.f32 s #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(/ 1 (/ (* (* -1/6 (* x (* x x))) (/ 1 (* s s))) s))
(/.f32 s (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)))
1
#s(literal 1 binary32)
(/ (* (* -1/6 (* x (* x x))) (/ 1 (* s s))) s)
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* (* -1/6 (* x (* x x))) (/ 1 (* s s)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (* x (* x x)))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
(/ 1 (* s s))
(/.f32 (/.f32 #s(literal 1 binary32) s) s)
(* s s)
(*.f32 s s)
s
(/ 1 (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) #s(literal -1 binary32))) s)))
1
#s(literal 1 binary32)
(+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s))))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) #s(literal -1 binary32))) s))
2
#s(literal 2 binary32)
(* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s)))
(/.f32 (*.f32 x (+.f32 (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) #s(literal -1 binary32))) s)
x
(/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s))
(/.f32 (+.f32 (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) #s(literal -1 binary32)) s)
(- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s))
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))
(/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)
(*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s))))
(*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* x (* (* x -1/6) (/ 1 s)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))
(* (* x -1/6) (/ 1 s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
s
(neg s)
(neg.f32 s)

localize510.0ms (5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f32 x #s(literal -1/6 binary32))
✓accuracy99.6%
(*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s)))))
✓accuracy98.3%
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s)))
✓accuracy99.8%
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
✓accuracy96.9%
(/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s)
✓accuracy89.7%
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
✓accuracy99.7%
(/.f32 s #s(literal -1/6 binary32))
✓accuracy98.1%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy97.7%
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
✓accuracy96.8%
(/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))
✓accuracy100.0%
(/.f32 (neg.f32 s) x)
✓accuracy100.0%
(neg.f32 s)
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x))))))
✓accuracy99.9%
(exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x)))
✓accuracy99.5%
(/.f32 #s(literal 2/3 binary32) (/.f32 s x))
✓accuracy99.5%
(*.f32 (/.f32 x s) #s(literal -1/3 binary32))
Results
366.0ms143×5exit
58.0ms113×0valid
Compiler

Compiled 374 to 44 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-div: 69.0ms (27.6% of total)
...c/correct-round.rkt:119:19: 68.0ms (27.2% of total)
backward-pass: 49.0ms (19.6% of total)
ival-mult: 39.0ms (15.6% of total)
ival-exp: 12.0ms (4.8% of total)
ival-add: 9.0ms (3.6% of total)
ival-sub: 2.0ms (0.8% of total)
ival-neg: 2.0ms (0.8% of total)
const: 1.0ms (0.4% of total)

series43.0ms (0.4%)

Counts
24 → 516
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))))>
#<alt (+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x)))))>
#<alt (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))>
#<alt (exp (* (/ x s) -1/3))>
#<alt (neg s)>
#<alt (/ (neg s) x)>
#<alt (* (/ s (/ (* x (* x x)) s)) (/ s -1/6))>
#<alt (/ s (/ (* x (* x x)) s))>
#<alt (/ (* x (* x x)) s)>
#<alt (* x (* x x))>
#<alt (/ 1 (/ (* (* -1/6 (* x (* x x))) (/ 1 (* s s))) s))>
#<alt (/ (* (* -1/6 (* x (* x x))) (/ 1 (* s s))) s)>
#<alt (* (* -1/6 (* x (* x x))) (/ 1 (* s s)))>
#<alt (* -1/6 (* x (* x x)))>
#<alt (/ 1 (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s)))))>
#<alt (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s))))>
#<alt (* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s)))>
#<alt (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s))>
#<alt (* (/ x s) -1/3)>
#<alt (/ 2/3 (/ s x))>
#<alt (exp (/ 2/3 (/ s x)))>
#<alt (/ s -1/6)>
#<alt (* (* x -1/6) (/ 1 s))>
#<alt (* x -1/6)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (- (* -1/3 x) (* 2/3 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (- (* -1/3 x) (* 2/3 x)) 2)) (* 1/4 (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))))) (pow s 2)))) (* 1/4 (/ (- (* -1/3 x) (* 2/3 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/3 x) (* 2/3 x)) 2)) (* 1/4 (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))))) (- (* -1/3 x) (* 2/3 x)))) (+ (* -1/8 (* (- (* -1/3 x) (* 2/3 x)) (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))))) (* 1/4 (- (* -1/162 (pow x 3)) (+ (* 4/81 (pow x 3)) (+ (* 2/9 (* (pow x 2) (- (* -1/3 x) (* 2/3 x)))) (* 2/3 (* x (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))))))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (- (* -1/3 x) (* 2/3 x)) 2) (pow s 2))) (+ (* 1/4 (/ (- (* -1/3 x) (* 2/3 x)) s)) (* 1/4 (/ (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (- (* 1/3 x) (* -2/3 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (- (* 1/3 x) (* -2/3 x)) 2) s)) (* 1/4 (/ (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s))) (* 1/4 (- (* 1/3 x) (* -2/3 x)))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (- (* 1/3 x) (* -2/3 x)) 2)) (* 1/4 (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))))) (- (* 1/3 x) (* -2/3 x))) s)) (+ (* -1/8 (/ (* (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) (- (* 1/3 x) (* -2/3 x))) s)) (* 1/4 (/ (- (* 1/162 (pow x 3)) (+ (* -2/3 (* x (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))))) (+ (* -4/81 (pow x 3)) (* 2/9 (* (pow x 2) (- (* 1/3 x) (* -2/3 x))))))) s)))) (+ (* -1/8 (pow (- (* 1/3 x) (* -2/3 x)) 2)) (* 1/4 (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2))))))) s)) (* 1/4 (- (* 1/3 x) (* -2/3 x)))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))>
#<alt 2>
#<alt (- (+ 2 (* -1/3 (/ x s))) (* 2/3 (/ x s)))>
#<alt (- (+ 2 (+ (* -1/3 (/ x s)) (* 1/18 (/ (pow x 2) (pow s 2))))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (+ (* 2/3 (/ x s)) (* 2/3 (/ (* x (- (* -1/3 x) (* 2/3 x))) (pow s 2))))))>
#<alt (- (+ 2 (+ (* -1/3 (/ x s)) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (* 1/18 (/ (pow x 2) (pow s 2)))))) (+ (* 4/81 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (* (pow x 2) (- (* -1/3 x) (* 2/3 x))) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (+ (* 2/3 (/ x s)) (+ (* 2/3 (/ (* x (- (* -1/3 x) (* 2/3 x))) (pow s 2))) (* 2/3 (/ (* x (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x))))))) (pow s 3)))))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- (* 1/3 x) (* -2/3 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s)) (* 1/3 x)) (* -2/3 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/162 (pow x 3)) (+ (* -2/3 (* x (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))))) (+ (* -4/81 (pow x 3)) (* 2/9 (* (pow x 2) (- (* 1/3 x) (* -2/3 x))))))) s)) (* 1/18 (pow x 2))) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s)) (* 1/3 x)) (* -2/3 x)) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))>
#<alt 1>
#<alt (- (+ 1 (* -1/3 (/ x s))) (* 2/3 (/ x s)))>
#<alt (- (+ 1 (+ (* -1/3 (/ x s)) (* 1/18 (/ (pow x 2) (pow s 2))))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (+ (* 2/3 (/ x s)) (* 2/3 (/ (* x (- (* -1/3 x) (* 2/3 x))) (pow s 2))))))>
#<alt (- (+ 1 (+ (* -1/3 (/ x s)) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (* 1/18 (/ (pow x 2) (pow s 2)))))) (+ (* 4/81 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (* (pow x 2) (- (* -1/3 x) (* 2/3 x))) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (+ (* 2/3 (/ x s)) (+ (* 2/3 (/ (* x (- (* -1/3 x) (* 2/3 x))) (pow s 2))) (* 2/3 (/ (* x (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x))))))) (pow s 3)))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 1/3 x) (* -2/3 x)) s)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s)) (* 1/3 x)) (* -2/3 x)) s)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/162 (pow x 3)) (+ (* -2/3 (* x (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))))) (+ (* -4/81 (pow x 3)) (* 2/9 (* (pow x 2) (- (* 1/3 x) (* -2/3 x))))))) s)) (* 1/18 (pow x 2))) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s)) (* 1/3 x)) (* -2/3 x)) s)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/18 (/ x (pow s 2))) (* 1/3 (/ 1 s)))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/162 (/ x (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt (exp (* -1/3 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ x s)))>
#<alt (+ 1 (+ (* -1/3 (/ x s)) (* 1/18 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/3 (/ x s)) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (* 1/18 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/18 (/ (pow x 2) s)) (* 1/3 x)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow x 3) s)) (* 1/18 (pow x 2))) s)) (* 1/3 x)) s)))>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow s 2) (pow x 3))>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (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 (* -1/6 (/ (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 (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (/ -1 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (* 2/3 (/ x s))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* 2/3 (/ x s)))>
#<alt (+ 1 (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s))))>
#<alt (+ 1 (+ (* 4/81 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s)))))>
#<alt 1>
#<alt (+ 1 (* 2/3 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ (* -2/3 x) (* -2/9 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4/81 (/ (pow x 3) s)) (* 2/9 (pow x 2))) s)) (* -2/3 x)) s)))>
#<alt 1>
#<alt (+ 1 (* 2/3 (/ x s)))>
#<alt (+ 1 (* x (+ (* 2/9 (/ x (pow s 2))) (* 2/3 (/ 1 s)))))>
#<alt (+ 1 (* x (+ (* x (+ (* 4/81 (/ x (pow s 3))) (* 2/9 (/ 1 (pow s 2))))) (* 2/3 (/ 1 s)))))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (exp (* 2/3 (/ x s)))>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -6 s)>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
Calls

129 calls:

TimeVariablePointExpression
15.0ms
s
@-inf
(/ s -1/6)
4.0ms
x
@inf
(/ 1 (+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))))
1.0ms
s
@inf
(/ 1 (+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))))
1.0ms
s
@-inf
(/ 1 (+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))))
1.0ms
x
@-inf
(/ 1 (+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))))

rewrite357.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
5210×*-lowering-*.f32
5210×*-lowering-*.f64
3088×/-lowering-/.f32
3088×/-lowering-/.f64
2662×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043221
1255193
22014180
09068180
Stop Event
1×iter limit
1×node limit
Counts
24 → 630
Calls
Call 1
Inputs
(/ 1 (+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))))
(+ 1 (/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x)))))
(/ (exp (* (/ x s) -1/3)) (exp (/ 2/3 (/ s x))))
(exp (* (/ x s) -1/3))
(neg s)
(/ (neg s) x)
(* (/ s (/ (* x (* x x)) s)) (/ s -1/6))
(/ s (/ (* x (* x x)) s))
(/ (* x (* x x)) s)
(* x (* x x))
(/ 1 (/ (* (* -1/6 (* x (* x x))) (/ 1 (* s s))) s))
(/ (* (* -1/6 (* x (* x x))) (/ 1 (* s s))) s)
(* (* -1/6 (* x (* x x))) (/ 1 (* s s)))
(* -1/6 (* x (* x x)))
(/ 1 (+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s)))))
(+ 2 (* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s))))
(* x (/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s)))
(/ (- 1 (/ (+ (* 1/2 x) (* x (* (* x -1/6) (/ 1 s)))) s)) (neg s))
(* (/ x s) -1/3)
(/ 2/3 (/ s x))
(exp (/ 2/3 (/ s x)))
(/ s -1/6)
(* (* x -1/6) (/ 1 s))
(* x -1/6)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal 1 binary32))
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(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) (/.f32 #s(literal -1 binary32) s))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (neg.f32 s) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))) (*.f32 s (*.f32 s s))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))))
(*.f32 (pow.f32 (/.f32 (neg.f32 s) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))
(pow.f32 (/.f32 s (*.f32 x #s(literal -1/3 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x #s(literal -1/3 binary32))))
(/.f32 #s(literal -1/3 binary32) (/.f32 s x))
(/.f32 (*.f32 x #s(literal -1/3 binary32)) s)
(/.f32 (neg.f32 (*.f32 x #s(literal -1/3 binary32))) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1/3 binary32) (neg.f32 x)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) #s(literal -1/3 binary32)) (neg.f32 s))
(*.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/3 binary32)))
(*.f32 x (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (/.f32 x s) #s(literal -1/3 binary32))
(*.f32 #s(literal -1/3 binary32) (/.f32 x s))
(*.f32 (*.f32 x #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(neg.f32 (/.f32 #s(literal -2/3 binary32) (/.f32 s x)))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 s x) #s(literal 2/3 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 s x) #s(literal 2/3 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 s x) #s(literal 2/3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) #s(literal 2/3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 s x) #s(literal 2/3 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 2/3 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s x) #s(literal 2/3 binary32))))
(/.f32 #s(literal -2/3 binary32) (/.f32 (neg.f32 s) x))
(/.f32 (/.f32 #s(literal 2/3 binary32) s) (/.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 #s(literal 2/3 binary32) x) s)
(/.f32 (*.f32 #s(literal 2/3 binary32) (neg.f32 x)) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(*.f32 x (/.f32 #s(literal 2/3 binary32) s))
(*.f32 (/.f32 x s) #s(literal 2/3 binary32))
(*.f32 #s(literal 2/3 binary32) (/.f32 x s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2/3 binary32)) #s(literal -1 binary32)))
(*.f32 #s(literal -2/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2/3 binary32) s) x)
(*.f32 (*.f32 #s(literal 2/3 binary32) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 2/3 binary32) (neg.f32 s)) (neg.f32 x))
(*.f32 (/.f32 #s(literal -2/3 binary32) s) (neg.f32 x))
(exp.f32 (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 2/3 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 2/3 binary32) s))) x))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal 2/3 binary32))
(pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 #s(literal 2/3 binary32) s)) x)
(pow.f32 (exp.f32 x) (/.f32 #s(literal 2/3 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) x) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 #s(literal -1 binary32) s)) (neg.f32 x))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(pow.f32 (exp.f32 #s(literal -2/3 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(pow.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 #s(literal 2/3 binary32) (neg.f32 s))) (neg.f32 x))
(pow.f32 (exp.f32 (/.f32 #s(literal -2/3 binary32) s)) (neg.f32 x))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 2/3 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2/3 binary32) (/.f32 s x))))
(neg.f32 (/.f32 s #s(literal 1/6 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1/6 binary32) s)) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal -1/6 binary32) s) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) s) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 s #s(literal 1/6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/6 binary32) s) #s(literal 1 binary32)))
(/.f32 s #s(literal -1/6 binary32))
(/.f32 (neg.f32 s) #s(literal 1/6 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1/6 binary32) s)))
(*.f32 #s(literal 1 binary32) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 s #s(literal -6 binary32))
(*.f32 (neg.f32 s) #s(literal 6 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 s #s(literal 1/6 binary32)))
(*.f32 #s(literal -6 binary32) s)
(pow.f32 (/.f32 s (*.f32 x #s(literal -1/6 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x #s(literal -1/6 binary32))))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(/.f32 (neg.f32 (*.f32 x #s(literal -1/6 binary32))) (neg.f32 s))
(/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(*.f32 x (/.f32 #s(literal -1/6 binary32) s))
(*.f32 (/.f32 x s) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x #s(literal -1/6 binary32)))
(*.f32 (/.f32 #s(literal -1/6 binary32) s) x)
(*.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1/6 binary32)))
(*.f32 x #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 #s(literal -1/6 binary32) (*.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))

simplify302.0ms (3%)

Algorithm
1×egg-herbie
Rules
3638×*-lowering-*.f32
3638×*-lowering-*.f64
2604×+-lowering-+.f64
2604×+-lowering-+.f32
1974×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05825003
118554700
267824686
081564686
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
1/2
(+ 1/2 (* -1/4 (/ (- (* -1/3 x) (* 2/3 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (- (* -1/3 x) (* 2/3 x)) 2)) (* 1/4 (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))))) (pow s 2)))) (* 1/4 (/ (- (* -1/3 x) (* 2/3 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/3 x) (* 2/3 x)) 2)) (* 1/4 (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))))) (- (* -1/3 x) (* 2/3 x)))) (+ (* -1/8 (* (- (* -1/3 x) (* 2/3 x)) (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))))) (* 1/4 (- (* -1/162 (pow x 3)) (+ (* 4/81 (pow x 3)) (+ (* 2/9 (* (pow x 2) (- (* -1/3 x) (* 2/3 x)))) (* 2/3 (* x (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))))))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (- (* -1/3 x) (* 2/3 x)) 2) (pow s 2))) (+ (* 1/4 (/ (- (* -1/3 x) (* 2/3 x)) s)) (* 1/4 (/ (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x)))))) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ (- (* 1/3 x) (* -2/3 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (- (* 1/3 x) (* -2/3 x)) 2) s)) (* 1/4 (/ (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s))) (* 1/4 (- (* 1/3 x) (* -2/3 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (- (* 1/3 x) (* -2/3 x)) 2)) (* 1/4 (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))))) (- (* 1/3 x) (* -2/3 x))) s)) (+ (* -1/8 (/ (* (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) (- (* 1/3 x) (* -2/3 x))) s)) (* 1/4 (/ (- (* 1/162 (pow x 3)) (+ (* -2/3 (* x (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))))) (+ (* -4/81 (pow x 3)) (* 2/9 (* (pow x 2) (- (* 1/3 x) (* -2/3 x))))))) s)))) (+ (* -1/8 (pow (- (* 1/3 x) (* -2/3 x)) 2)) (* 1/4 (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2))))))) s)) (* 1/4 (- (* 1/3 x) (* -2/3 x)))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
(+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s)))))
2
(- (+ 2 (* -1/3 (/ x s))) (* 2/3 (/ x s)))
(- (+ 2 (+ (* -1/3 (/ x s)) (* 1/18 (/ (pow x 2) (pow s 2))))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (+ (* 2/3 (/ x s)) (* 2/3 (/ (* x (- (* -1/3 x) (* 2/3 x))) (pow s 2))))))
(- (+ 2 (+ (* -1/3 (/ x s)) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (* 1/18 (/ (pow x 2) (pow s 2)))))) (+ (* 4/81 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (* (pow x 2) (- (* -1/3 x) (* 2/3 x))) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (+ (* 2/3 (/ x s)) (+ (* 2/3 (/ (* x (- (* -1/3 x) (* 2/3 x))) (pow s 2))) (* 2/3 (/ (* x (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x))))))) (pow s 3)))))))))
2
(+ 2 (* -1 (/ (- (* 1/3 x) (* -2/3 x)) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s)) (* 1/3 x)) (* -2/3 x)) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/162 (pow x 3)) (+ (* -2/3 (* x (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))))) (+ (* -4/81 (pow x 3)) (* 2/9 (* (pow x 2) (- (* 1/3 x) (* -2/3 x))))))) s)) (* 1/18 (pow x 2))) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s)) (* 1/3 x)) (* -2/3 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
(/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))
1
(- (+ 1 (* -1/3 (/ x s))) (* 2/3 (/ x s)))
(- (+ 1 (+ (* -1/3 (/ x s)) (* 1/18 (/ (pow x 2) (pow s 2))))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (+ (* 2/3 (/ x s)) (* 2/3 (/ (* x (- (* -1/3 x) (* 2/3 x))) (pow s 2))))))
(- (+ 1 (+ (* -1/3 (/ x s)) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (* 1/18 (/ (pow x 2) (pow s 2)))))) (+ (* 4/81 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (* (pow x 2) (- (* -1/3 x) (* 2/3 x))) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (+ (* 2/3 (/ x s)) (+ (* 2/3 (/ (* x (- (* -1/3 x) (* 2/3 x))) (pow s 2))) (* 2/3 (/ (* x (- (* 1/18 (pow x 2)) (+ (* 2/9 (pow x 2)) (* 2/3 (* x (- (* -1/3 x) (* 2/3 x))))))) (pow s 3)))))))))
1
(+ 1 (* -1 (/ (- (* 1/3 x) (* -2/3 x)) s)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s)) (* 1/3 x)) (* -2/3 x)) s)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/162 (pow x 3)) (+ (* -2/3 (* x (- (* 1/18 (pow x 2)) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))))) (+ (* -4/81 (pow x 3)) (* 2/9 (* (pow x 2) (- (* 1/3 x) (* -2/3 x))))))) s)) (* 1/18 (pow x 2))) (+ (* -2/3 (* x (- (* 1/3 x) (* -2/3 x)))) (* 2/9 (pow x 2)))) s)) (* 1/3 x)) (* -2/3 x)) s)))
1
(+ 1 (* -1/3 (/ x s)))
(+ 1 (* x (- (* 1/18 (/ x (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/162 (/ x (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
1
(+ 1 (* -1/3 (/ x s)))
(+ 1 (+ (* -1/3 (/ x s)) (* 1/18 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ x s)) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (* 1/18 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ x s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow x 2) s)) (* 1/3 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow x 3) s)) (* 1/18 (pow x 2))) s)) (* 1/3 x)) s)))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow s 2) (pow x 3))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (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)))
(* -1/6 (/ (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)))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(* 2/3 (/ x s))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
1
(+ 1 (* 2/3 (/ x s)))
(+ 1 (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s))))
(+ 1 (+ (* 4/81 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s)))))
1
(+ 1 (* 2/3 (/ x s)))
(+ 1 (* -1 (/ (+ (* -2/3 x) (* -2/9 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4/81 (/ (pow x 3) s)) (* 2/9 (pow x 2))) s)) (* -2/3 x)) s)))
1
(+ 1 (* 2/3 (/ x s)))
(+ 1 (* x (+ (* 2/9 (/ x (pow s 2))) (* 2/3 (/ 1 s)))))
(+ 1 (* x (+ (* x (+ (* 4/81 (/ x (pow s 3))) (* 2/9 (/ 1 (pow s 2))))) (* 2/3 (/ 1 s)))))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(exp (* 2/3 (/ x s)))
(* -6 s)
(* -6 s)
(* -6 s)
(* -6 s)
(* -6 s)
(* -6 s)
(* -6 s)
(* -6 s)
(* -6 s)
(* -6 s)
(* -6 s)
(* -6 s)
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32))))) (/.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)) s))))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ (exp (* -1/3 (/ x s))) (exp (* 2/3 (/ x s))))))
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#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(* 2/3 (/ x s))
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(* 2/3 (/ x s))
(*.f32 (/.f32 x s) #s(literal 2/3 binary32))
(* 2/3 (/ x s))
(*.f32 (/.f32 x s) #s(literal 2/3 binary32))
(exp (* 2/3 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(exp (* 2/3 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(exp (* 2/3 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(exp (* 2/3 (/ x s)))
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1
#s(literal 1 binary32)
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1
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1
#s(literal 1 binary32)
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(exp (* 2/3 (/ x s)))
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(exp (* 2/3 (/ x s)))
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(exp (* 2/3 (/ x s)))
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(exp (* 2/3 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(exp (* 2/3 (/ x s)))
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(exp (* 2/3 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(exp (* 2/3 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(exp (* 2/3 (/ x s)))
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(* -6 s)
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(* -1/6 (/ x s))
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(* -1/6 (/ x s))
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(* -1/6 (/ x s))
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(* -1/6 x)
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(* -1/6 x)
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(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))

eval98.0ms (1%)

Compiler

Compiled 22324 to 2515 computations (88.7% saved)

prune197.0ms (1.9%)

Pruning

52 alts after pruning (48 fresh and 4 done)

PrunedKeptTotal
New1164211185
Fresh142741
Picked415
Done033
Total1182521234
Accuracy
99.9%
Counts
1234 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
32.0%
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
32.9%
(/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
32.0%
(/.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
32.0%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
32.6%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
17.8%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
18.4%
(/.f32 (+.f32 (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))
32.9%
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
32.0%
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
✓18.9%
(/.f32 (neg.f32 s) x)
32.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
33.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
32.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
18.5%
(/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (-.f32 (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/3 binary32)) s)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 x (*.f32 x #s(literal 1/18 binary32))) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/81 binary32)) (*.f32 s (*.f32 s s)))) (*.f32 #s(literal 2/9 binary32) (+.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s)) (/.f32 (/.f32 (*.f32 x x) s) s)))) (*.f32 #s(literal 2/3 binary32) (+.f32 (*.f32 x (+.f32 (neg.f32 (/.f32 x (*.f32 s s))) (/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) #s(literal 2/3 binary32))) (*.f32 s (*.f32 s s))))) (/.f32 x s)))))
53.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))
✓41.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
41.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
55.6%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))) #s(literal 2 binary32)))
54.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) s)))
50.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) s) (*.f32 s (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 s s))))
16.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 s (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) s))))
55.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s))))))
54.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
33.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))) (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))))
55.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x #s(literal -1/6 binary32)))))) s)) (neg.f32 s)))))
55.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) x))) s)) (neg.f32 s)))))
55.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s))))
53.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
34.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))))
18.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))))))
55.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))))
33.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) x) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
29.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
34.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) #s(literal 3 binary32))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
24.4%
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s) x)))))
40.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
20.2%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
33.2%
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
26.0%
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 x (*.f32 x x))) s) (*.f32 x #s(literal -1/4 binary32))) s))
26.1%
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
28.2%
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
18.9%
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
31.8%
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
64.9%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
18.9%
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
12.5%
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
31.6%
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
✓35.7%
#s(literal 1/2 binary32)
Compiler

Compiled 3271 to 1274 computations (61.1% saved)

regimes236.0ms (2.3%)

Counts
90 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
(/.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(/.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 x (*.f32 x x))) s) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) x))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x #s(literal -1/6 binary32)))))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) s) (*.f32 s (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) x) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 s (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))) (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) x) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s) x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) s) (*.f32 x (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) (/.f32 x s))))) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (-.f32 (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/3 binary32)) s)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 x (*.f32 x #s(literal 1/18 binary32))) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/81 binary32)) (*.f32 s (*.f32 s s)))) (*.f32 #s(literal 2/9 binary32) (+.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s)) (/.f32 (/.f32 (*.f32 x x) s) s)))) (*.f32 #s(literal 2/3 binary32) (+.f32 (*.f32 x (+.f32 (neg.f32 (/.f32 x (*.f32 s s))) (/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) #s(literal 2/3 binary32))) (*.f32 s (*.f32 s s))))) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) #s(literal 3 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))) #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (exp.f32 (/.f32 x s))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x))))))
Calls

7 calls:

48.0ms
s
42.0ms
x
36.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
25.0ms
(/.f32 (neg.f32 x) s)
24.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes198.0ms (1.9%)

Counts
87 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
(/.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(/.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 x (*.f32 x x))) s) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) x))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x #s(literal -1/6 binary32)))))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) s) (*.f32 s (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) x) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 s (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))) (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) x) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s) x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) s) (*.f32 x (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) (/.f32 x s))))) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (-.f32 (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/3 binary32)) s)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 x (*.f32 x #s(literal 1/18 binary32))) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/81 binary32)) (*.f32 s (*.f32 s s)))) (*.f32 #s(literal 2/9 binary32) (+.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s)) (/.f32 (/.f32 (*.f32 x x) s) s)))) (*.f32 #s(literal 2/3 binary32) (+.f32 (*.f32 x (+.f32 (neg.f32 (/.f32 x (*.f32 s s))) (/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) #s(literal 2/3 binary32))) (*.f32 s (*.f32 s s))))) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) #s(literal 3 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

43.0ms
(neg.f32 x)
31.0ms
(/.f32 (neg.f32 x) s)
24.0ms
s
23.0ms
x
22.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes54.0ms (0.5%)

Counts
81 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
(/.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(/.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 x (*.f32 x x))) s) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) x))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x #s(literal -1/6 binary32)))))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) s) (*.f32 s (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) x) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (*.f32 s (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 s s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 s (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x)))))) (*.f32 (/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))) (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))))) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) x) (/.f32 (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s) x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) s) (*.f32 x (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) (/.f32 x s))))) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 s x))) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (-.f32 (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/3 binary32)) s)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 x (*.f32 x #s(literal 1/18 binary32))) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/81 binary32)) (*.f32 s (*.f32 s s)))) (*.f32 #s(literal 2/9 binary32) (+.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s)) (/.f32 (/.f32 (*.f32 x x) s) s)))) (*.f32 #s(literal 2/3 binary32) (+.f32 (*.f32 x (+.f32 (neg.f32 (/.f32 x (*.f32 s s))) (/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) #s(literal 2/3 binary32))) (*.f32 s (*.f32 s s))))) (/.f32 x s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
#s(literal 1/2 binary32)
Calls

2 calls:

23.0ms
s
22.0ms
x
Results
AccuracySegmentsBranch
66.0%2x
56.0%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
64 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
(/.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(/.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 x (*.f32 x x))) s) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) x))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s)) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x #s(literal -1/6 binary32)))))) s)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
#s(literal 1/2 binary32)
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
66.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
47 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
(/.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(/.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 x (*.f32 x x))) s) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
#s(literal 1/2 binary32)
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
64.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.2%)

Counts
44 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
(/.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(/.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 x (*.f32 x x))) s) (*.f32 x #s(literal -1/4 binary32))) s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
#s(literal 1/2 binary32)
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
63.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
(/.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(/.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
#s(literal 1/2 binary32)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
62.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.3%)

Counts
36 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))
(/.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(/.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1/4 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/48 binary32)))) s))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s)))
#s(literal 1/2 binary32)
Calls

1 calls:

30.0ms
x
Results
AccuracySegmentsBranch
62.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) s))))
Outputs
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s)))
#s(literal 1/2 binary32)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
62.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
Outputs
(*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32)))
#s(literal 1/2 binary32)
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
60.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
Outputs
(*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32)))
#s(literal 1/2 binary32)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
60.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
Outputs
(*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x))))))
#s(literal 1/2 binary32)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
60.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
(*.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 x s))
(/.f32 (neg.f32 (/.f32 s (*.f32 (/.f32 x s) x))) (/.f32 s x))
Outputs
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x)
#s(literal 1/2 binary32)
Calls

2 calls:

8.0ms
x
5.0ms
s
Results
AccuracySegmentsBranch
47.4%2s
53.2%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 1/2 binary32)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
49.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
Outputs
(/.f32 #s(literal -1 binary32) (/.f32 x s))
#s(literal 1/2 binary32)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
49.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.4%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
Outputs
(/.f32 (neg.f32 s) x)
#s(literal 1/2 binary32)
Calls

1 calls:

38.0ms
x
Results
AccuracySegmentsBranch
48.2%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
#s(literal 1/2 binary32)
Outputs
#s(literal 1/2 binary32)
Calls

2 calls:

1.0ms
x
1.0ms
s
Results
AccuracySegmentsBranch
35.7%1s
35.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.0351246709204303e-31
-1.9570296457786359e-31
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.0351246709204303e-31
-1.9570296457786359e-31
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.0351246709204303e-31
-1.9570296457786359e-31
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-7.91086336384859e-15
-1.0657724230017005e-17
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.0351246709204303e-31
-1.9570296457786359e-31
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.933071266333215e-13
-1.9865726630981934e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.933071266333215e-13
-1.9865726630981934e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.933071266333215e-13
-1.9865726630981934e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.933071266333215e-13
-1.9865726630981934e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.933071266333215e-13
-1.9865726630981934e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.933071266333215e-13
-1.9865726630981934e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.0351246709204303e-31
-1.9570296457786359e-31
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-5.860023133408276e-9
-3.189836172978744e-9
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-5.860023133408276e-9
-3.189836172978744e-9
Compiler

Compiled 16 to 12 computations (25% saved)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
56×*-commutative_binary32
44×+-commutative_binary32
18×sub-neg_binary32
16×neg-mul-1_binary32
14×neg-sub0_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113293
1164293
2183293
3199293
4209293
5212293
6213293
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2951479/590295810358705651712 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -11258999/2251799813685248 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -11258999/2251799813685248 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 #s(literal 2/3 binary32) (/.f32 s x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2951479/590295810358705651712 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2951479/590295810358705651712 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s s) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (*.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) (/.f32 s #s(literal -1/6 binary32))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (*.f32 (/.f32 s (*.f32 (*.f32 x x) (/.f32 x s))) (/.f32 s #s(literal -1/6 binary32))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (*.f32 (/.f32 s #s(literal -1/6 binary32)) (/.f32 s (*.f32 (/.f32 x s) (*.f32 x x)))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (*.f32 s (/.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s (*.f32 x (*.f32 x x)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14757395/73786976294838206464 binary32)) (/.f32 (/.f32 (*.f32 s (neg.f32 s)) s) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -11258999/2251799813685248 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -11258999/2251799813685248 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -11258999/2251799813685248 binary32)) (/.f32 s (neg.f32 x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)

soundness2.8s (27.5%)

Rules
5210×*-lowering-*.f32
5210×*-lowering-*.f64
3680×*-lowering-*.f32
3680×*-lowering-*.f64
3408×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
14422
226422
3222822
0856122
06474892
121594487
272434485
087724485
047291
1301267
22839255
08244255
043221
1255193
22014180
09068180
0140619
1405590
21412584
35765584
08529584
038218
1280204
22909204
08278204
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
Compiler

Compiled 681 to 392 computations (42.4% saved)

preprocess68.0ms (0.7%)

Compiler

Compiled 614 to 238 computations (61.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...