Logistic function

Time bar (total: 10.8s)

analyze63.0ms (0.6%)

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

Compiled 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 8.0ms (24.5% of total)
...c/correct-round.rkt:119:19: 7.0ms (21.4% of total)
ival-<=: 7.0ms (21.4% of total)
ival-add: 3.0ms (9.2% of total)
ival-exp: 3.0ms (9.2% of total)
ival-neg: 3.0ms (9.2% of total)
ival-and: 1.0ms (3.1% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (10.6%)

Results
874.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 560.0ms
ival-div: 131.0ms (23.4% of total)
...c/correct-round.rkt:119:19: 130.0ms (23.2% of total)
ival-<=: 90.0ms (16.1% of total)
ival-exp: 69.0ms (12.3% of total)
ival-add: 57.0ms (10.2% of total)
ival-neg: 55.0ms (9.8% of total)
ival-and: 12.0ms (2.1% of total)
const: 12.0ms (2.1% 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)))))

explain92.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
24(-2.6267756858544544e-9 2.4149451535726563e-11)2(2.4154926947517197e-8 5.675205860811161e-10)(exp.f32 (/.f32 (neg.f32 x) s))
00-0-x
00-0-(/.f32 (neg.f32 x) s)
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
00-0-#s(literal 1 binary32)
00-0-s
Results
57.0ms512×0valid
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 (39.6% of total)
ival-exp: 4.0ms (19.8% of total)
ival-neg: 4.0ms (19.8% of total)
ival-add: 3.0ms (14.8% of total)
const: 1.0ms (4.9% of total)
backward-pass: 1.0ms (4.9% 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)

simplify10.0ms (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

localize77.0ms (0.7%)

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)))
✓accuracy99.9%
(/.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
68.0ms256×0valid
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 (45.1% of total)
ival-exp: 2.0ms (22.6% of total)
ival-add: 1.0ms (11.3% of total)
ival-neg: 1.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (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
1.0ms
x
@0
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@inf
(/ 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
s
@-inf
(/ 1 (+ 1 (exp (/ (neg x) s))))

rewrite300.0ms (2.8%)

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
226522
3223322
0862822
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 (exp.f32 (neg.f32 x)))
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.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 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.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 (neg.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 (neg.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)))))))
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(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
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(*.f32 (/.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)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))) #s(literal -1 binary32)))
(*.f32 (/.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.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)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32)))
(*.f32 (/.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)))))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.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)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (+.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 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.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 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))))
(*.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 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.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 #s(literal -3 binary32) (/.f32 s x)))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.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 #s(literal -2 binary32) (/.f32 s x)))))))
(*.f32 (pow.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (pow.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 -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (/.f32 (+.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 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)))) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (+.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 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)))
(*.f32 (pow.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))))) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)))
(*.f32 (pow.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 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (pow.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 9 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 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 (pow.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) #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 (pow.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 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) #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 (exp.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (exp.f32 (neg.f32 (log1p.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))))))
(*.f32 (exp.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))) (exp.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) (neg.f32 x)))
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(pow.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 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 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 (neg.f32 x) s))
(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) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal -1 binary32)) x)
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(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 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.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 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.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 (neg.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 (neg.f32 x) s)))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (/.f32 (neg.f32 x) s)))

simplify243.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3402×*-lowering-*.f32
3402×*-lowering-*.f64
1910×+-lowering-+.f64
1910×+-lowering-+.f32
1086×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0140619
1405573
21414570
35777570
08547570
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) #s(literal -1/4 binary32)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) 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) #s(literal -1/4 binary32)))
(- (+ 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) #s(literal -1/4 binary32)))
(- (+ 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 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(+ 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) #s(literal -1/4 binary32)))
(+ 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 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) 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 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) 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 #s(literal -1/6 binary32) (/.f32 x (*.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 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) 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 #s(literal -1/6 binary32) (/.f32 x (*.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 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) 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 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) 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 #s(literal -1/6 binary32) (/.f32 x (*.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 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) 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 #s(literal -1/6 binary32) (/.f32 x (*.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 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) 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))

eval37.0ms (0.3%)

Compiler

Compiled 10140 to 1266 computations (87.5% saved)

prune61.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New43012442
Fresh000
Picked011
Done000
Total43013443
Accuracy
99.9%
Counts
443 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))
▶40.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
54.4%
(/.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)))
53.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
▶51.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
28.5%
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
▶26.4%
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
62.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶34.1%
#s(literal 1/2 binary32)
Compiler

Compiled 411 to 278 computations (32.4% saved)

simplify212.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.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 #s(literal -1/6 binary32) (/.f32 x (*.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 #s(literal -1/6 binary32) (/.f32 x (*.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 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
✓cost-diff0
(*.f32 x #s(literal 1/4 binary32))
✓cost-diff64
(+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s))
✓cost-diff64
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s)
✓cost-diff64
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) 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
(exp.f32 (/.f32 x s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
Rules
2874×*-lowering-*.f32
2874×*-lowering-*.f64
1418×sum5-define
1400×fma-lowering-fma.f32
1400×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
037255
190249
2215249
3482248
4979232
51761228
63873228
77485228
08217228
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
1
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (exp (/ x s)))
(exp (/ x s))
(/ x s)
x
s
1/2
(/ 1 (- 2 (/ x s)))
1
(- 2 (/ x s))
2
(/ x s)
x
s
(+ 1/2 (/ (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s))
1/2
(/ (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s)
(+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s))
(* x 1/4)
x
1/4
(/ (* -1/48 (/ (* x (* x x)) s)) s)
(* -1/48 (/ (* x (* x x)) s))
-1/48
(/ (* x (* x x)) s)
(* x (* x x))
(* x x)
s
(/ 1 (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))))
1
(+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))))
2
(* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))
x
(+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))
(* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))
(+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))
(* -1/6 (/ x (* s (* s s))))
-1/6
(/ x (* s (* s s)))
(* s (* s s))
s
(* s s)
(/ 1/2 (* s s))
1/2
(/ -1 s)
-1
Outputs
(/ 1 (+ 1 (/ 1 (exp (/ 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 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ 1 (exp (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(/ 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 (/ (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))))
1/2
#s(literal 1/2 binary32)
(/ (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s)
(*.f32 (/.f32 x s) (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))))
(+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s))
(*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))))
(* x 1/4)
(*.f32 x #s(literal 1/4 binary32))
x
1/4
#s(literal 1/4 binary32)
(/ (* -1/48 (/ (* x (* x x)) s)) s)
(*.f32 x (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))
(* -1/48 (/ (* x (* x x)) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) s)
-1/48
#s(literal -1/48 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
(/ 1 (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -2 binary32) (*.f32 (+.f32 (/.f32 (*.f32 x (-.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) #s(literal 1 binary32)) (/.f32 x s))))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* 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 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))
2
#s(literal 2 binary32)
(* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))
(*.f32 (/.f32 x 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)))
x
(+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))
(+.f32 (/.f32 (/.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) s))
(* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))
(/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) s)
(+ (* -1/6 (/ x (* 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)))
(* -1/6 (/ x (* s (* s s))))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
-1/6
#s(literal -1/6 binary32)
(/ x (* s (* s s)))
(/.f32 x (*.f32 s (*.f32 s s)))
(* 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)

localize215.0ms (2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy96.2%
(*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))
✓accuracy91.8%
(/.f32 x (*.f32 s (*.f32 s s)))
✓accuracy90.9%
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
✓accuracy81.0%
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓accuracy99.8%
(*.f32 x (*.f32 x x))
✓accuracy99.1%
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
✓accuracy95.7%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy92.2%
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy98.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓accuracy99.8%
(exp.f32 (/.f32 x s))
Results
117.0ms173×0valid
41.0ms82×0unsamplable
3.0ms1×5exit
Compiler

Compiled 318 to 38 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 23.0ms (32.6% of total)
ival-mult: 16.0ms (22.7% of total)
...c/correct-round.rkt:119:19: 16.0ms (22.7% of total)
ival-add: 9.0ms (12.7% of total)
ival-exp: 2.0ms (2.8% of total)
backward-pass: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)

series52.0ms (0.5%)

Counts
22 → 504
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (exp (/ x s))>
#<alt (/ 1 (- 2 (/ x s)))>
#<alt (- 2 (/ x s))>
#<alt (/ x s)>
#<alt (+ 1/2 (/ (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s))>
#<alt (/ (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s)>
#<alt (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s))>
#<alt (* x 1/4)>
#<alt (/ 1 (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))))>
#<alt (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))))>
#<alt (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))>
#<alt (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))>
#<alt (/ (* -1/48 (/ (* x (* x x)) s)) s)>
#<alt (/ (* x (* x x)) s)>
#<alt (* -1/48 (/ (* x (* x x)) s))>
#<alt (* x (* x x))>
#<alt (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))>
#<alt (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))>
#<alt (/ x (* s (* s s)))>
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 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (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 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 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 (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))>
#<alt 1>
#<alt (+ 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 (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))>
#<alt (* -1 (/ s x))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -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)) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (/ x s))>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x 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 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (* 1/4 (/ x s))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))>
#<alt (* 1/4 (/ x s))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)>
#<alt (* 1/4 (/ x s))>
#<alt (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))>
#<alt (* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))>
#<alt (* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))>
#<alt (* 1/4 x)>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (* 1/4 x)>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 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) (- (* 1/96 (/ 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)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 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 (/ (- (/ 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 (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<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 (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (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 (/ 1/2 (pow s 2))>
#<alt (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<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))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
Calls

126 calls:

TimeVariablePointExpression
6.0ms
x
@0
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
3.0ms
x
@0
(/ (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s)
2.0ms
s
@-inf
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
2.0ms
x
@-inf
(/ 1 (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))))
2.0ms
x
@inf
(/ x (* s (* s s)))

rewrite356.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
2900×/-lowering-/.f32
2900×/-lowering-/.f64
2500×*-lowering-*.f32
2500×*-lowering-*.f64
2256×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037211
1243205
22296205
08705205
Stop Event
1×iter limit
1×node limit
Counts
22 → 584
Calls
Call 1
Inputs
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (exp (/ x s)))
(exp (/ x s))
(/ 1 (- 2 (/ x s)))
(- 2 (/ x s))
(/ x s)
(+ 1/2 (/ (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s))
(/ (+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s)
(+ (* x 1/4) (/ (* -1/48 (/ (* x (* x x)) s)) s))
(* x 1/4)
(/ 1 (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))))
(+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))))
(* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))
(+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))
(/ (* -1/48 (/ (* x (* x x)) s)) s)
(/ (* x (* x x)) s)
(* -1/48 (/ (* x (* x x)) s))
(* x (* x x))
(+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))
(* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))
(/ x (* s (* s s)))
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) (neg.f32 (neg.f32 (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 (neg.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.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 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32))))) (neg.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 (/.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 (neg.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)))))) (neg.f32 (-.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 (neg.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))))))) (neg.f32 (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x s) (*.f32 s s)) (/.f32 (/.f32 x s) (*.f32 s s)))) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (*.f32 x (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s))))
(/.f32 (neg.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)) (neg.f32 (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x s) (*.f32 s s)) (/.f32 (/.f32 x s) (*.f32 s s)))) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))) x)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s))))
(*.f32 x (+.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(*.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(neg.f32 (/.f32 x (neg.f32 (*.f32 s (*.f32 s s)))))
(neg.f32 (/.f32 (neg.f32 x) (*.f32 s (*.f32 s s))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s (*.f32 s s)) x)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s s) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 s x) (*.f32 s s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) x))))
(/.f32 x (*.f32 s (*.f32 s s)))
(/.f32 (/.f32 x s) (*.f32 s s))
(/.f32 (/.f32 x s) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s s) (/.f32 x s))))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) (-.f32 #s(literal 0 binary32) (*.f32 s s)))
(/.f32 (neg.f32 x) (neg.f32 (*.f32 s (*.f32 s s))))
(/.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 s (*.f32 s s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 x (*.f32 s s)) s)
(/.f32 (/.f32 (/.f32 x s) s) s)
(/.f32 (neg.f32 (/.f32 x (*.f32 s s))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 (*.f32 s (*.f32 s s))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 (neg.f32 (*.f32 s (*.f32 s s))))))
(/.f32 (neg.f32 (/.f32 (/.f32 x s) s)) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) (*.f32 s s)))
(*.f32 x (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) s) s))
(*.f32 (/.f32 x s) (/.f32 (/.f32 #s(literal 1 binary32) s) s))
(*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) s) (/.f32 x s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (*.f32 s s) x) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) s) s) x)
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) s) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))

simplify301.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3854×*-lowering-*.f32
3854×*-lowering-*.f64
2414×+-lowering-+.f64
2414×+-lowering-+.f32
1952×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06305262
120514701
271474684
081244684
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
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 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (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 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 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 (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1
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(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
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 (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
1
(+ 1 (/ x s))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1
(+ 1 (/ x s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
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(+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)
(/ (- (+ (* -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))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
(* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -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)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x 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 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(* 1/4 (/ x s))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(* 1/4 (/ x s))
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(* 1/4 (/ x s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* 1/4 x)
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(* 1/4 x)
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(* 1/4 x)
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 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) (- (* 1/96 (/ 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) (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)))
(* -1/48 (/ (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)))
(/ (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)
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (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)
(/ 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))
(* 1/2 (/ 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))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 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 (+ (* (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 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (+.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/12 binary32))) (*.f32 x #s(literal 0 binary32))) (*.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (*.f32 x #s(literal -1/8 binary32)))) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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2
#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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1/2
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eval137.0ms (1.3%)

Compiler

Compiled 30963 to 3322 computations (89.3% saved)

prune163.0ms (1.5%)

Pruning

45 alts after pruning (40 fresh and 5 done)

PrunedKeptTotal
New1104341138
Fresh167
Picked145
Done011
Total1106451151
Accuracy
99.9%
Counts
1151 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.0%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
14.5%
(/.f32 (+.f32 (*.f32 x (*.f32 #s(literal -1/48 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
3.8%
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) s)) (*.f32 s s))
▶31.8%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
40.1%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
39.0%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
33.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
19.1%
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
62.3%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))
54.4%
(/.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 x (*.f32 x #s(literal -1/6 binary32)))) s)) s)) s)))
✓40.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
40.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
40.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
53.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
36.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (/.f32 x s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) s) x)) s)))
54.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
59.5%
(/.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) #s(literal -1/6 binary32))) s)) (neg.f32 s)))))
57.2%
(/.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))))
47.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
14.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))) x) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
48.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
56.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))
22.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
57.7%
(/.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)))))
✓51.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
60.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) (neg.f32 s)) x) s)))))
▶61.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
60.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
59.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
▶52.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))))))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
39.7%
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
28.5%
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
▶17.8%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
6.6%
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 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))) (/.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/48 binary32))))) s))
26.1%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
62.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
4.6%
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
4.7%
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))))
16.3%
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
✓34.1%
#s(literal 1/2 binary32)
Compiler

Compiled 1820 to 1139 computations (37.4% saved)

simplify169.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))))))))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))))))))
✓cost-diff128
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))))))))))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))))))))))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
✓cost-diff0
(*.f32 s s)
✓cost-diff0
(*.f32 s (*.f32 s s))
✓cost-diff0
(*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32))
✓cost-diff0
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
✓cost-diff0
(/.f32 s x)
✓cost-diff0
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓cost-diff0
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
✓cost-diff3232
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
✓cost-diff3232
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
✓cost-diff3232
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
Rules
2664×*-lowering-*.f32
2664×*-lowering-*.f64
1600×sum3-define
1216×/-lowering-/.f32
1216×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043350
1114326
2306326
3765322
42123315
55149315
08165315
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))
1
(+ 1 (pow (exp (* (/ x s) -1/2)) 2))
(pow (exp (* (/ x s) -1/2)) 2)
(exp (* (/ x s) -1/2))
(* (/ x s) -1/2)
(/ x s)
x
s
-1/2
2
(- 0 (/ s x))
0
(/ s x)
s
x
(/ (* (* s (* s s)) -6) (* x (* x x)))
(* (* s (* s s)) -6)
(* s (* s s))
s
(* s s)
-6
(* x (* x x))
x
(* x x)
(/ 1 (+ 1 (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s)))))
1
(+ 1 (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s))))
(/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s)))
(- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s))
(/ (- (* (* x x) (/ -1/2 s)) x) s)
(- (* (* x x) (/ -1/2 s)) x)
(* (* x x) (/ -1/2 s))
(* x x)
x
(/ -1/2 s)
-1/2
s
(/ 1 (+ 1 (/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))))))
1
(+ 1 (/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))))))
(/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))))
(+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))))
(* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))
x
(+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))
(/ 1 s)
s
(* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))
(+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))
(/ 1/2 (* s s))
1/2
(* s s)
(* 1/6 (/ x (* s (* s s))))
1/6
(/ x (* s (* s s)))
(* s (* s s))
Outputs
(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))
(/.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 (pow (exp (* (/ x s) -1/2)) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(pow (exp (* (/ x s) -1/2)) 2)
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* (/ x s) -1/2))
(exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(* (/ x s) -1/2)
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(/ x s)
(/.f32 x s)
x
s
-1/2
#s(literal -1/2 binary32)
2
#s(literal 2 binary32)
(- 0 (/ s x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
0
#s(literal 0 binary32)
(/ s x)
(/.f32 s x)
s
x
(/ (* (* s (* s s)) -6) (* x (* x x)))
(/.f32 (*.f32 s (*.f32 #s(literal -6 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))) x)
(* (* s (* s s)) -6)
(*.f32 s (*.f32 s (*.f32 s #s(literal -6 binary32))))
(* s (* s s))
(*.f32 s (*.f32 s s))
s
(* s s)
(*.f32 s s)
-6
#s(literal -6 binary32)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
(/ 1 (+ 1 (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) s)))))
1
#s(literal 1 binary32)
(+ 1 (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) s))))
(/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) s)))
(- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) s))
(/ (- (* (* x x) (/ -1/2 s)) x) s)
(*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) #s(literal -1 binary32)) s))
(- (* (* x x) (/ -1/2 s)) x)
(*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) #s(literal -1 binary32)))
(* (* x x) (/ -1/2 s))
(*.f32 x (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(* x x)
(*.f32 x x)
x
(/ -1/2 s)
(/.f32 #s(literal -1/2 binary32) s)
-1/2
#s(literal -1/2 binary32)
s
(/ 1 (+ 1 (/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/6 binary32)))) (*.f32 s s))))))))
1
#s(literal 1 binary32)
(+ 1 (/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/6 binary32)))) (*.f32 s s)))))))
(/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/6 binary32)))) (*.f32 s s))))))
(+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/6 binary32)))) (*.f32 s s)))))
(* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/6 binary32)))) (*.f32 s s))))
x
(+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))
(+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/6 binary32)))) (*.f32 s s)))
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
s
(* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/6 binary32)))) (*.f32 s s))
(+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 s (*.f32 s s))))
(/ 1/2 (* s s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
1/2
#s(literal 1/2 binary32)
(* s s)
(*.f32 s s)
(* 1/6 (/ x (* s (* s s))))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 s (*.f32 s s)))
1/6
#s(literal 1/6 binary32)
(/ x (* s (* s s)))
(/.f32 x (*.f32 s (*.f32 s s)))
(* s (* s s))
(*.f32 s (*.f32 s s))

localize258.0ms (2.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy94.5%
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))))))
✓accuracy91.4%
(/.f32 x (*.f32 s (*.f32 s s)))
✓accuracy90.8%
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))))
✓accuracy71.6%
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
✓accuracy99.6%
(/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)
✓accuracy98.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))
✓accuracy89.1%
(*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s))
✓accuracy99.7%
(*.f32 s (*.f32 s s))
✓accuracy99.7%
(*.f32 x (*.f32 x x))
✓accuracy99.3%
(*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32))
✓accuracy76.3%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
✓accuracy100.0%
(/.f32 s x)
✓accuracy100.0%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
✓accuracy99.8%
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
✓accuracy99.8%
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
Results
195.0ms256×0valid
Compiler

Compiled 428 to 44 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-div: 23.0ms (36.9% of total)
ival-mult: 16.0ms (25.7% of total)
ival-add: 7.0ms (11.2% of total)
ival-sub: 4.0ms (6.4% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.4% of total)
ival-pow: 4.0ms (6.4% of total)
ival-exp: 2.0ms (3.2% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.4%)

Counts
25 → 552
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))>
#<alt (+ 1 (pow (exp (* (/ x s) -1/2)) 2))>
#<alt (pow (exp (* (/ x s) -1/2)) 2)>
#<alt (exp (* (/ x s) -1/2))>
#<alt (- 0 (/ s x))>
#<alt (/ s x)>
#<alt (/ (* (* s (* s s)) -6) (* x (* x x)))>
#<alt (* (* s (* s s)) -6)>
#<alt (* s (* s s))>
#<alt (* s s)>
#<alt (/ 1 (+ 1 (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s)))))>
#<alt (+ 1 (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s))))>
#<alt (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s)))>
#<alt (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s))>
#<alt (/ 1 (+ 1 (/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))))))>
#<alt (+ 1 (/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))))))>
#<alt (/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))))>
#<alt (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))))>
#<alt (* x (* x x))>
#<alt (* (* x x) (/ -1/2 s))>
#<alt (/ (- (* (* x x) (/ -1/2 s)) x) s)>
#<alt (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))>
#<alt (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))>
#<alt (/ x (* s (* s s)))>
#<alt (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))>
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 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<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 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (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 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<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)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (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 (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<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)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) 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 (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (* -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 (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow s 2) (pow x 2))))>
#<alt (- (+ 1 (* 4 (/ (pow s 3) (pow x 3)))) (* 2 (/ (pow s 2) (pow x 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -4 (pow s 4)) (* -1 (+ (* -8 (pow s 4)) (* 4 (pow s 4))))) (pow x 4)))) (+ (* -4 (/ (pow s 3) (pow x 3))) (* 2 (/ (pow s 2) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow s 2) (pow x 2))))>
#<alt (- (+ 1 (* 4 (/ (pow s 3) (pow x 3)))) (* 2 (/ (pow s 2) (pow x 2))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow s 4) x)) (* -1 (/ (+ (* -8 (pow s 4)) (* 4 (pow s 4))) x))) (* 4 (pow s 3))) (pow x 3)))) (* 2 (/ (pow s 2) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow s 2) (pow x 2))))>
#<alt (+ 1 (* (pow s 2) (- (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow s 2) (- (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (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 (+ (* -1/4 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (pow s 2) (pow x 2))))>
#<alt (+ 1 (+ (* -4 (/ (pow s 3) (pow x 3))) (* 2 (/ (pow s 2) (pow x 2)))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 4 (pow s 4))) (pow x 4))) (* 2 (/ (pow s 2) (pow x 2))))) (* 4 (/ (pow s 3) (pow x 3))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (pow s 2) (pow x 2))))>
#<alt (+ 1 (+ (* -4 (/ (pow s 3) (pow x 3))) (* 2 (/ (pow s 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 4 (/ (pow s 4) x))) (* -4 (pow s 3))) (pow x 3))) (* 2 (/ (pow s 2) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (pow s 2) (pow x 2))))>
#<alt (+ 1 (* (pow s 2) (+ (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow s 2) (+ (* s (- (* 4 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/4 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 4 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* 4 (/ (pow s 3) x))) (pow x 2))>
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#<alt 1/2>
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#<alt 1>
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#<alt 1>
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#<alt 1/2>
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#<alt 1>
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#<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 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 (* s 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 (+ (* 1/2 (pow x 2)) (* s x)))) (pow s 3))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s x)))) (pow s 3))>
#<alt (/ x s)>
#<alt (/ (+ x (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ x (+ (* 1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ x (+ (* 1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ 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))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
Calls

138 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))
4.0ms
x
@inf
(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))
2.0ms
s
@-inf
(+ 1 (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s))))
1.0ms
x
@inf
(/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s)))
1.0ms
x
@0
(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))

rewrite353.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
2824×*-lowering-*.f32
2824×*-lowering-*.f64
2266×fma-lowering-fma.f32
2266×fma-lowering-fma.f64
2208×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043273
1295249
22801249
08623249
Stop Event
1×iter limit
1×node limit
Counts
25 → 613
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))
(+ 1 (pow (exp (* (/ x s) -1/2)) 2))
(pow (exp (* (/ x s) -1/2)) 2)
(exp (* (/ x s) -1/2))
(- 0 (/ s x))
(/ s x)
(/ (* (* s (* s s)) -6) (* x (* x x)))
(* (* s (* s s)) -6)
(* s (* s s))
(* s s)
(/ 1 (+ 1 (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s)))))
(+ 1 (/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s))))
(/ 1 (- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s)))
(- 1 (/ (- (* (* x x) (/ -1/2 s)) x) s))
(/ 1 (+ 1 (/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))))))
(+ 1 (/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))))))
(/ 1 (+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))))))
(+ 1 (* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))))))
(* x (* x x))
(* (* x x) (/ -1/2 s))
(/ (- (* (* x x) (/ -1/2 s)) x) s)
(+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s)))))
(* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* s s))))))
(/ x (* s (* s s)))
(* x (+ (/ 1 s) (* x (+ (/ 1/2 (* s s)) (* 1/6 (/ x (* s (* 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) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #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 (*.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 (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 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 (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 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)))
(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 (*.f32 (/.f32 x s) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #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 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 binary32))))) #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 x (/.f32 #s(literal -1/2 binary32) s))) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s))) #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 (*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) 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 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 binary32))) (-.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 (*.f32 (/.f32 x s) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #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 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 binary32))))))
(/.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) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #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 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 binary32)))) (*.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) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 (-.f32 (exp.f32 (*.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 binary32))) #s(literal 1 binary32)) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))
(*.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) (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #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 (*.f32 (/.f32 x s) #s(literal -1 binary32)))))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (+.f32 (/.f32 x s) (/.f32 x s)))) #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) 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 (+.f32 (/.f32 x s) (/.f32 x s))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (+.f32 (/.f32 x s) (/.f32 x s)))
(pow.f32 (*.f32 (exp.f32 #s(literal -1/2 binary32)) (exp.f32 #s(literal -1/2 binary32))) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))
(*.f32 (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s))) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))) #s(literal 1 binary32)) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1/2 binary32))) (/.f32 x s)))
(pow.f32 (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (+.f32 (/.f32 x s) (/.f32 x s))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) x) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 s))) (neg.f32 x))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 #s(literal -1/2 binary32) s)) x)
(pow.f32 (exp.f32 (*.f32 x #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))
(*.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 s x))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 s x)))
(+.f32 (-.f32 #s(literal 0 binary32) (/.f32 s x)) #s(literal 0 binary32))
(pow.f32 (neg.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x (/.f32 x s))) (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s x) (neg.f32 (/.f32 s (*.f32 x (/.f32 x s))))) #s(literal -1 binary32))
(fma.f32 s (neg.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 s x) #s(literal 0 binary32))
(fma.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x)))) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 x s) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 s x)) (/.f32 (/.f32 s (*.f32 x (/.f32 x s))) (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x (/.f32 x s))) (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (neg.f32 (/.f32 s (*.f32 x (/.f32 x s))))))
(/.f32 s (neg.f32 x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 s) x)
(/.f32 (neg.f32 s) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x)))) (/.f32 s (*.f32 x (/.f32 x s))))
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(/.f32 (neg.f32 (neg.f32 s)) (neg.f32 x))
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(/.f32 (/.f32 x s) (*.f32 s s))
(/.f32 (neg.f32 x) (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) x)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (/.f32 x s)) (-.f32 #s(literal 0 binary32) (*.f32 s s)))
(/.f32 (/.f32 x (*.f32 s s)) s)
(/.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 s (*.f32 s s)))
(/.f32 (/.f32 (/.f32 x s) s) s)
(*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s (*.f32 s s))))
(*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (*.f32 s s) x) #s(literal -1 binary32)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 x s))
(+.f32 (/.f32 x s) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))
(+.f32 (/.f32 x s) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (/.f32 x s))
(+.f32 (*.f32 (/.f32 x s) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 x s) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))
(fma.f32 #s(literal 1 binary32) (/.f32 x s) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(fma.f32 x (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))
(fma.f32 x (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(fma.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (/.f32 x s))
(fma.f32 (/.f32 x s) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))) (/.f32 x s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) x (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(fma.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))) (*.f32 x x) (/.f32 x s))
(fma.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) x (/.f32 x s))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) (neg.f32 x) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) (neg.f32 x) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(fma.f32 (*.f32 x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))
(fma.f32 (*.f32 x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (-.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))) (*.f32 (/.f32 x s) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))))
(/.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))) (-.f32 (/.f32 x s) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))) (+.f32 (*.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (-.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (/.f32 #s(literal 1 binary32) s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(/.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))))) (-.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))) x) (+.f32 (*.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (-.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))) (/.f32 #s(literal 1 binary32) s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))) x) (-.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(*.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))))
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))) x)
(*.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))) x)

simplify326.0ms (3%)

Algorithm
1×egg-herbie
Rules
4458×*-lowering-*.f32
4458×*-lowering-*.f64
3566×+-lowering-+.f64
3566×+-lowering-+.f32
1728×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07356111
124895231
090915231
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
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 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
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 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (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 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (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))))
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) 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))
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ 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)))
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(* 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))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ 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)))
(* (pow x 3) (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (/ 1 (* s 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 (+ (* 1/2 (pow x 2)) (* s x)))) (pow s 3))
(/ (+ (* 1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s x)))) (pow s 3))
(/ x s)
(/ (+ x (* 1/2 (/ (pow x 2) s))) s)
(/ (+ x (+ (* 1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ x (+ (* 1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ 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))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
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 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
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 (* -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 #s(literal 1/4 binary32) x) s))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/24 binary32)))) (*.f32 x #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
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 (* -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 #s(literal 1/4 binary32) 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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (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 (*.f32 x #s(literal 0 binary32)) (+.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) x) s) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/24 binary32))) s)) #s(literal 0 binary32))) (neg.f32 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 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) 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 #s(literal -1/6 binary32) x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
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 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
(+.f32 #s(literal 2 binary32) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/6 binary32)) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (neg.f32 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 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
(-.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))
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 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) 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 #s(literal -1/6 binary32) x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
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 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/6 binary32)) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (neg.f32 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 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 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))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) s))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) s))))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
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#s(literal 1/2 binary32)
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#s(literal 1 binary32)
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(/.f32 (+.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) (/.f32 #s(literal 1/6 binary32) s)))) s)
(/ (+ x (+ (* 1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (+.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) (/.f32 #s(literal 1/6 binary32) s)))) s)
(/ x s)
(/.f32 x s)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s))) s)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 x (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 x (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)

eval455.0ms (4.2%)

Compiler

Compiled 32891 to 3775 computations (88.5% saved)

prune154.0ms (1.4%)

Pruning

45 alts after pruning (40 fresh and 5 done)

PrunedKeptTotal
New1207151222
Fresh102535
Picked415
Done145
Total1222451267
Accuracy
99.9%
Counts
1267 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
▶17.0%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
14.5%
(/.f32 (+.f32 (*.f32 x (*.f32 #s(literal -1/48 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
32.0%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
31.9%
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
18.9%
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
17.8%
(/.f32 (neg.f32 s) x)
40.1%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
39.0%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
33.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
▶62.3%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))
54.4%
(/.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)))
36.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (neg.f32 s)) x) s)))
✓40.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
40.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
40.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
54.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
59.5%
(/.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) #s(literal -1/6 binary32))) s)) (neg.f32 s)))))
57.2%
(/.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))))
47.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
48.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
▶56.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))
22.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
57.7%
(/.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)))))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
35.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.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))))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
39.7%
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
19.1%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
28.5%
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
17.8%
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
6.6%
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 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))) (/.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/48 binary32))))) s))
26.1%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
35.1%
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
62.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶4.6%
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
17.8%
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
4.7%
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))))
30.5%
(*.f32 s (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
31.8%
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
▶46.0%
#s(literal 1 binary32)
✓34.1%
#s(literal 1/2 binary32)
Compiler

Compiled 1623 to 1021 computations (37.1% saved)

simplify189.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 s (*.f32 s s))
✓cost-diff0
(/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s)))
✓cost-diff0
(-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x)))
✓cost-diff32
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
✓cost-diff0
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))
✓cost-diff64
(*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))
✓cost-diff64
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))
✓cost-diff0
(*.f32 (*.f32 s s) #s(literal -2 binary32))
✓cost-diff0
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x)
✓cost-diff0
(-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s)
✓cost-diff0
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
✓cost-diff0
(/.f32 s x)
✓cost-diff0
(/.f32 #s(literal -2 binary32) (/.f32 s x))
✓cost-diff0
(expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))
✓cost-diff32
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))
Rules
2898×*-lowering-*.f32
2898×*-lowering-*.f64
2168×sum5-define
1898×sum3-define
1434×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042243
1109235
2254234
3644229
41997229
57198229
08612229
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1)))
1
(/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1))
(- (exp (/ -2 (/ s x))) 1)
(/ -2 (/ s x))
-2
(/ s x)
s
x
(- (exp (/ (neg x) s)) 1)
(/ (neg x) s)
(neg x)
1
(/ (- (/ (* (* s s) -2) x) s) x)
(- (/ (* (* s s) -2) x) s)
(/ (* (* s s) -2) x)
(* (* s s) -2)
(* s s)
s
-2
x
(/ 1 (+ 2 (* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s)))))
1
(+ 2 (* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s))))
2
(* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s)))
x
(+ (/ (* 1/2 x) (* s s)) (/ -1 s))
(/ (* 1/2 x) (* s s))
(* 1/2 x)
1/2
(* s s)
s
(/ -1 s)
-1
(* (- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x))) (neg (* x (* x x))))
(- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x)))
(/ 1/48 (* s (* s s)))
1/48
(* s (* s s))
s
(* s s)
(/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x))
(+ (/ 1/4 s) (/ 1/2 x))
(/ 1/4 s)
1/4
(/ 1/2 x)
1/2
x
(* x x)
(neg (* x (* x x)))
(* x (* x x))
Outputs
(/ 1 (/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1)))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
1
#s(literal 1 binary32)
(/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1))
(/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(- (exp (/ -2 (/ s x))) 1)
(expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))
(/ -2 (/ s x))
(/.f32 #s(literal -2 binary32) (/.f32 s x))
-2
#s(literal -2 binary32)
(/ s x)
(/.f32 s x)
s
x
(- (exp (/ (neg x) s)) 1)
(expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/ (neg x) s)
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(neg x)
(neg.f32 x)
1
#s(literal 1 binary32)
(/ (- (/ (* (* s s) -2) x) s) x)
(*.f32 (/.f32 s x) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) x)))
(- (/ (* (* s s) -2) x) s)
(*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) x)))
(/ (* (* s s) -2) x)
(/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x)
(* (* s s) -2)
(*.f32 #s(literal -2 binary32) (*.f32 s s))
(* s s)
(*.f32 s s)
s
-2
#s(literal -2 binary32)
x
(/ 1 (+ 2 (* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))) s)))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s))))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))) s))
2
#s(literal 2 binary32)
(* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s)))
(/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))) s)
x
(+ (/ (* 1/2 x) (* s s)) (/ -1 s))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) (/.f32 #s(literal -1 binary32) s))
(/ (* 1/2 x) (* s s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s)
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* s s)
(*.f32 s s)
s
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
(* (- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x))) (neg (* x (* x x))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x)) (/.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) s)))
(- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x)))
(-.f32 (/.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x)))
(/ 1/48 (* s (* s s)))
(/.f32 (/.f32 #s(literal 1/48 binary32) s) (*.f32 s s))
1/48
#s(literal 1/48 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
s
(* s s)
(*.f32 s s)
(/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))
(+ (/ 1/4 s) (/ 1/2 x))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
1/2
#s(literal 1/2 binary32)
x
(* x x)
(*.f32 x x)
(neg (* x (* x x)))
(*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(* x (* x x))
(*.f32 x (*.f32 x x))

localize257.0ms (2.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s)))
✓accuracy93.9%
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))
✓accuracy86.0%
(-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x)))
✓accuracy70.6%
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
✓accuracy99.9%
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))
✓accuracy98.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))
✓accuracy97.9%
(*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))
✓accuracy91.8%
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
✓accuracy99.9%
(-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s)
✓accuracy99.9%
(*.f32 (*.f32 s s) #s(literal -2 binary32))
✓accuracy99.8%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
✓accuracy91.0%
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x)
✓accuracy99.9%
(expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))
✓accuracy99.8%
(expm1.f32 (/.f32 (neg.f32 x) s))
✓accuracy99.4%
(/.f32 #s(literal -2 binary32) (/.f32 s x))
✓accuracy96.0%
(/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s)))
Results
116.0ms149×0valid
43.0ms82×0unsamplable
36.0ms25×1valid
Compiler

Compiled 278 to 41 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 41.0ms (36.6% of total)
ival-div: 29.0ms (25.9% of total)
compiled-spec: 12.0ms (10.7% of total)
ival-sub: 8.0ms (7.1% of total)
ival-exp: 5.0ms (4.5% of total)
...c/correct-round.rkt:119:19: 5.0ms (4.5% of total)
ival-add: 4.0ms (3.6% of total)
backward-pass: 3.0ms (2.7% of total)
ival-neg: 3.0ms (2.7% of total)
const: 1.0ms (0.9% of total)

series53.0ms (0.5%)

Counts
20 → 444
Calls
Call 1
Inputs
#<alt (/ 1 (/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1)))>
#<alt (- (exp (/ -2 (/ s x))) 1)>
#<alt (/ -2 (/ s x))>
#<alt (/ s x)>
#<alt (/ (- (/ (* (* s s) -2) x) s) x)>
#<alt (- (/ (* (* s s) -2) x) s)>
#<alt (/ (* (* s s) -2) x)>
#<alt (* (* s s) -2)>
#<alt (/ 1 (+ 2 (* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s)))))>
#<alt (+ 2 (* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s))))>
#<alt (* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s)))>
#<alt (+ (/ (* 1/2 x) (* s s)) (/ -1 s))>
#<alt (* (- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x))) (neg (* x (* x x))))>
#<alt (- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x)))>
#<alt (/ 1/48 (* s (* s s)))>
#<alt (* s (* s s))>
#<alt (/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1))>
#<alt (- (exp (/ (neg x) s)) 1)>
#<alt (/ (* 1/2 x) (* s s))>
#<alt (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x))>
Outputs
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt 1/2>
#<alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) 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) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (* -2 (/ x s))>
#<alt (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)>
#<alt (* -2 (/ x s))>
#<alt (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
#<alt (* -2 (/ x s))>
#<alt (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (* -1 (/ s x))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 s)>
#<alt (* s (- (* -2 (/ s x)) 1))>
#<alt (* s (- (* -2 (/ s x)) 1))>
#<alt (* s (- (* -2 (/ s x)) 1))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
#<alt (* -1 s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (* -1 s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt (* -2 (pow s 2))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<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 (/ (+ (* 1/16 (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))) (+ (* -1/8 (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 (- (* 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))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 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 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<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)) (* 1/2 (/ (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 (* -1/2 (/ (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 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) 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 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ (+ 1/48 (* -1/4 (/ (pow s 2) (pow x 2)))) (pow s 3))>
#<alt (/ (+ 1/48 (* (pow s 2) (- (* -1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))) (pow s 3))>
#<alt (/ (+ 1/48 (* (pow s 2) (- (* -1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))) (pow s 3))>
#<alt (/ -1/2 (pow x 3))>
#<alt (* -1 (+ (* 1/2 (/ 1 (pow x 3))) (* 1/4 (/ 1 (* s (pow x 2))))))>
#<alt (- (/ 1/48 (pow s 3)) (+ (* 1/2 (/ 1 (pow x 3))) (/ 1/4 (* s (pow x 2)))))>
#<alt (- (/ 1/48 (pow s 3)) (+ (* 1/2 (/ 1 (pow x 3))) (/ 1/4 (* s (pow x 2)))))>
#<alt (/ -1/2 (pow x 3))>
#<alt (* -1 (+ (* 1/2 (/ 1 (pow x 3))) (* 1/4 (/ 1 (* s (pow x 2))))))>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))) s)) (* 1/2 (/ 1 (pow x 3))))>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))) s)) (* 1/2 (/ 1 (pow x 3))))>
#<alt (/ -1/2 (pow x 3))>
#<alt (/ (- (* -1/4 (/ x s)) 1/2) (pow x 3))>
#<alt (/ (- (* x (- (* 1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))) 1/2) (pow x 3))>
#<alt (/ (- (* x (- (* 1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))) 1/2) (pow x 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))>
#<alt (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (/ 1/48 (pow s 3))>
#<alt (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))>
#<alt (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (/ 1/48 (pow s 3))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt 2>
#<alt (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))>
#<alt (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))>
#<alt (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- (* 2 x) x) s)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) 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 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<alt (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))>
#<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 (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<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))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 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 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))) s)>
#<alt (/ (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))) s)>
#<alt (/ (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))) s)>
#<alt (/ 1/2 (pow x 3))>
#<alt (+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (/ 1/2 (pow x 3))>
#<alt (+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (/ 1/2 (pow x 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))>
Calls

111 calls:

TimeVariablePointExpression
12.0ms
s
@inf
(* (- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x))) (neg (* x (* x x))))
4.0ms
x
@-inf
(/ (- (/ (* (* s s) -2) x) s) x)
3.0ms
x
@0
(- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x)))
1.0ms
s
@inf
(/ 1 (/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1)))
1.0ms
x
@0
(/ 1 (/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1)))

rewrite348.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
3194×*-lowering-*.f32
3194×*-lowering-*.f64
2708×fma-lowering-fma.f32
2708×fma-lowering-fma.f64
1834×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042184
1291173
23137173
08258173
Stop Event
1×iter limit
1×node limit
Counts
20 → 587
Calls
Call 1
Inputs
(/ 1 (/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1)))
(- (exp (/ -2 (/ s x))) 1)
(/ -2 (/ s x))
(/ s x)
(/ (- (/ (* (* s s) -2) x) s) x)
(- (/ (* (* s s) -2) x) s)
(/ (* (* s s) -2) x)
(* (* s s) -2)
(/ 1 (+ 2 (* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s)))))
(+ 2 (* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s))))
(* x (+ (/ (* 1/2 x) (* s s)) (/ -1 s)))
(+ (/ (* 1/2 x) (* s s)) (/ -1 s))
(* (- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x))) (neg (* x (* x x))))
(- (/ 1/48 (* s (* s s))) (/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x)))
(/ 1/48 (* s (* s s)))
(* s (* s s))
(/ (- (exp (/ -2 (/ s x))) 1) (- (exp (/ (neg x) s)) 1))
(- (exp (/ (neg x) s)) 1)
(/ (* 1/2 x) (* s s))
(/ (+ (/ 1/4 s) (/ 1/2 x)) (* x x))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (exp.f32 (/.f32 (neg.f32 x) s))) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal -1 binary32)))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(pow.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal -1 binary32)))
(-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (+.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (expm1.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (+.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
(*.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (pow.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(*.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (+.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
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(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (neg.f32 (+.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (neg.f32 (expm1.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s)))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (expm1.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(expm1.f32 (/.f32 (neg.f32 x) s))
(neg.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(neg.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 s s)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s s) (*.f32 x #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s s) (*.f32 x #s(literal 1/2 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s s) (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s s) (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s s) (*.f32 x #s(literal 1/2 binary32)))))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 s s)))
(/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s)
(/.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 s s))
(/.f32 (neg.f32 (*.f32 x #s(literal -1/2 binary32))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(/.f32 (neg.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) (neg.f32 s))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)))
(*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))
(*.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (*.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))
(*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))
(*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) (*.f32 (*.f32 x x) (*.f32 s x)))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))))))
(/.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x) x)
(/.f32 (*.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 s x) (*.f32 x x)))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)))) (*.f32 x x)))
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(literal 1 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x)))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)) (*.f32 x x))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x)) (neg.f32 x))
(/.f32 (*.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (*.f32 s x))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)))))
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x)))
(*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) x))
(*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32)))
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (/.f32 (*.f32 x x) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s x)))
(*.f32 (pow.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))))))
(*.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))))

simplify321.0ms (3%)

Algorithm
1×egg-herbie
Rules
3732×*-lowering-*.f32
3732×*-lowering-*.f64
2654×+-lowering-+.f64
2654×+-lowering-+.f32
2546×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06034731
119934092
271564060
080554060
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
1/2
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
1/2
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) 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) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(* -2 (/ x s))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(* -2 (/ x s))
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -2 (/ x s))
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* -2 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -2 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -2 (/ (pow s 2) (pow x 2)))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(* -1 (/ s x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 s)
(* s (- (* -2 (/ s x)) 1))
(* s (- (* -2 (/ s x)) 1))
(* s (- (* -2 (/ s x)) 1))
(* -2 (/ (pow s 2) x))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -2 (/ (pow s 2) x))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -2 (/ (pow s 2) x))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)
(* -1 s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(* -1 s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
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 (/ (+ (* 1/16 (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))) (+ (* -1/8 (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 (- (* 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))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 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 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 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 (* -1/2 (/ (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 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ x (pow s 2)))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) 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 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(/ 1/48 (pow s 3))
(/ (+ 1/48 (* -1/4 (/ (pow s 2) (pow x 2)))) (pow s 3))
(/ (+ 1/48 (* (pow s 2) (- (* -1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))) (pow s 3))
(/ (+ 1/48 (* (pow s 2) (- (* -1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))) (pow s 3))
(/ -1/2 (pow x 3))
(* -1 (+ (* 1/2 (/ 1 (pow x 3))) (* 1/4 (/ 1 (* s (pow x 2))))))
(- (/ 1/48 (pow s 3)) (+ (* 1/2 (/ 1 (pow x 3))) (/ 1/4 (* s (pow x 2)))))
(- (/ 1/48 (pow s 3)) (+ (* 1/2 (/ 1 (pow x 3))) (/ 1/4 (* s (pow x 2)))))
(/ -1/2 (pow x 3))
(* -1 (+ (* 1/2 (/ 1 (pow x 3))) (* 1/4 (/ 1 (* s (pow x 2))))))
(- (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))) s)) (* 1/2 (/ 1 (pow x 3))))
(- (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))) s)) (* 1/2 (/ 1 (pow x 3))))
(/ -1/2 (pow x 3))
(/ (- (* -1/4 (/ x s)) 1/2) (pow x 3))
(/ (- (* x (- (* 1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))) 1/2) (pow x 3))
(/ (- (* x (- (* 1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))) 1/2) (pow x 3))
(/ 1/48 (pow s 3))
(- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))
(+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))
(+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))
(/ 1/48 (pow s 3))
(- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))
(+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))
(+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(/ 1/48 (pow s 3))
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
2
(- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))
(- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))
2
(+ 2 (* -1 (/ (- (* 2 x) x) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) 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))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(* -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 (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(- (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))) 1)
(* -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))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 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 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(/ 1/4 (* s (pow x 2)))
(/ (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))) s)
(/ (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))) s)
(/ (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))) s)
(/ 1/2 (pow x 3))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(/ 1/2 (pow x 3))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(/ 1/2 (pow x 3))
(/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))
(/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))
(/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))
(/ 1/4 (* s (pow x 2)))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/ 1/4 (* s (pow x 2)))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
Outputs
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
1/2
#s(literal 1/2 binary32)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal 1/4 binary32) s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(-.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s)))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(-.f32 (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s)) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) x) s) (*.f32 s s))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 (/.f32 (*.f32 x (/.f32 #s(literal 1/4 binary32) s)) s) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (-.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (*.f32 s s)) (*.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (*.f32 (*.f32 x x) #s(literal 1/4 binary32))) (/.f32 x (*.f32 s (*.f32 s s)))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal 1/4 binary32) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal -1/4 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (*.f32 (*.f32 x x) #s(literal 1/4 binary32))) (neg.f32 s))) s))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal -1/4 binary32)) (/.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (*.f32 (*.f32 x x) #s(literal 1/4 binary32))) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -7/48 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 #s(literal -1/4 binary32) (*.f32 x x))))) (*.f32 x (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (*.f32 (*.f32 x x) #s(literal 1/4 binary32))))) (neg.f32 s))) (neg.f32 s))) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) x) (*.f32 s s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(/.f32 (+.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) x) (*.f32 s s))) (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32)) (*.f32 s (*.f32 s s)))) s)
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) x) s)) s)) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (-.f32 x (/.f32 (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/24 binary32)) s)) s)) s)) (neg.f32 s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x))
(/ (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x (*.f32 x x)))) s)
(/ (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x (*.f32 x x)))) s)
(/ (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x (*.f32 x x)))) s)
(/ 1/2 (pow x 3))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x)))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))))
(/ 1/2 (pow x 3))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x)))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))))
(+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))))
(/ 1/2 (pow x 3))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x)))
(/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal 1/4 binary32) s))) (*.f32 x (*.f32 x x)))
(/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal 1/4 binary32) s))) (*.f32 x (*.f32 x x)))
(/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal 1/4 binary32) s))) (*.f32 x (*.f32 x x)))
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))
(/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))

eval104.0ms (1%)

Compiler

Compiled 25636 to 2720 computations (89.4% saved)

prune137.0ms (1.3%)

Pruning

47 alts after pruning (39 fresh and 8 done)

PrunedKeptTotal
New1018131031
Fresh92635
Picked145
Done145
Total1029471076
Accuracy
99.9%
Counts
1076 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
16.6%
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) s) x)) s) x)
16.6%
(/.f32 (-.f32 (*.f32 s (*.f32 s (/.f32 #s(literal -2 binary32) x))) s) x)
14.5%
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
34.3%
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 4 binary32)) x)) (*.f32 x x))
32.0%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
31.9%
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
34.7%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
35.8%
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
17.8%
(/.f32 (neg.f32 s) x)
62.3%
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
39.0%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
35.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))
33.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
✓62.3%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))
54.4%
(/.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)))
36.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (neg.f32 s)) x) s)))
✓40.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
54.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
57.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) s))))
59.5%
(/.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) #s(literal -1/6 binary32))) s)) (neg.f32 s)))))
47.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
48.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
✓56.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))
22.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
57.7%
(/.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)))))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
35.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.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))))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
19.1%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
28.5%
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
6.6%
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 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))) (/.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/48 binary32))))) s))
26.1%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
4.4%
(*.f32 (/.f32 (-.f32 x (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x))) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) x)) (neg.f32 (*.f32 x (*.f32 x x))))
35.1%
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
62.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓4.6%
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
30.6%
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 x (*.f32 x x)))))
17.8%
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
5.1%
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) s))))
16.6%
(*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x) (/.f32 #s(literal -1 binary32) x)))
30.5%
(*.f32 s (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
31.8%
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
✓46.0%
#s(literal 1 binary32)
✓34.1%
#s(literal 1/2 binary32)
Compiler

Compiled 2230 to 981 computations (56% saved)

regimes196.0ms (1.8%)

Counts
75 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.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 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 s (*.f32 s (/.f32 #s(literal -2 binary32) x))) s) x)
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) s) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s s) (*.f32 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 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) s)) (*.f32 s s))
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
(*.f32 s (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(/.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 x (/.f32 (/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.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 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 x (*.f32 x x)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 4 binary32)) x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 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 #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 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32))) s)) (neg.f32 s)))))
(/.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 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)) 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 x (*.f32 #s(literal -1/48 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.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))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) (neg.f32 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))))))))))
(*.f32 (/.f32 (-.f32 x (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x))) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (/.f32 x s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) s) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))) x) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 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))) (/.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/48 binary32))))) 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) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
Calls

7 calls:

65.0ms
x
30.0ms
(neg.f32 x)
21.0ms
s
20.0ms
(/.f32 (neg.f32 x) s)
17.0ms
(+.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)

regimes470.0ms (4.4%)

Counts
69 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.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 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 s (*.f32 s (/.f32 #s(literal -2 binary32) x))) s) x)
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) s) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s s) (*.f32 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 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) s)) (*.f32 s s))
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
(*.f32 s (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(/.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 x (/.f32 (/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.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 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 x (*.f32 x x)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 4 binary32)) x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 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 #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 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32))) s)) (neg.f32 s)))))
(/.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 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)) 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 x (*.f32 #s(literal -1/48 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.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))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) (neg.f32 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))))))))))
(*.f32 (/.f32 (-.f32 x (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x))) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (/.f32 x s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) s) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))) x) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 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))) (/.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/48 binary32))))) 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) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
Calls

7 calls:

260.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
82.0ms
(neg.f32 x)
44.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
20.0ms
s
20.0ms
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)

regimes134.0ms (1.2%)

Counts
68 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.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 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 s (*.f32 s (/.f32 #s(literal -2 binary32) x))) s) x)
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) s) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s s) (*.f32 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 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) s)) (*.f32 s s))
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
(*.f32 s (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(/.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 x (/.f32 (/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.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 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 x (*.f32 x x)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 4 binary32)) x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 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 #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 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32))) s)) (neg.f32 s)))))
(/.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 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)) 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 x (*.f32 #s(literal -1/48 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.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))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) (neg.f32 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))))))))))
(*.f32 (/.f32 (-.f32 x (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x))) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (/.f32 x s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) s) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))) x) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 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))) (/.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/48 binary32))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

21.0ms
(neg.f32 x)
19.0ms
s
19.0ms
(/.f32 (neg.f32 x) s)
19.0ms
x
16.0ms
(/.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)

regimes114.0ms (1.1%)

Counts
67 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.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 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 s (*.f32 s (/.f32 #s(literal -2 binary32) x))) s) x)
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) s) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s s) (*.f32 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 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) s)) (*.f32 s s))
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
(*.f32 s (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(/.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 x (/.f32 (/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.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 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 x (*.f32 x x)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 4 binary32)) x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 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 #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 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32))) s)) (neg.f32 s)))))
(/.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 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)) 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 x (*.f32 #s(literal -1/48 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.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))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) (neg.f32 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))))))))))
(*.f32 (/.f32 (-.f32 x (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x))) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal 1/48 binary32)) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (/.f32 x s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) s) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))) x) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 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))) (/.f32 (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/48 binary32))))) s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) (neg.f32 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
Calls

4 calls:

39.0ms
x
32.0ms
s
19.0ms
(neg.f32 x)
18.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
94.3%2x
69.4%2s
95.2%2(/.f32 (neg.f32 x) s)
94.3%2(neg.f32 x)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes21.0ms (0.2%)

Counts
59 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.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 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 s (*.f32 s (/.f32 #s(literal -2 binary32) x))) s) x)
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) s) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s s) (*.f32 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 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) s)) (*.f32 s s))
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
(*.f32 s (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(/.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 x (/.f32 (/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.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 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 x (*.f32 x x)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 4 binary32)) x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 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 #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 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32))) s)) (neg.f32 s)))))
(/.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 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)) 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 x (*.f32 #s(literal -1/48 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.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))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
Calls

1 calls:

16.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
94.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts
57 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.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 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 s (*.f32 s (/.f32 #s(literal -2 binary32) x))) s) x)
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) s) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s s) (*.f32 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 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) s)) (*.f32 s s))
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
(*.f32 s (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(/.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 x (/.f32 (/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.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 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 x (*.f32 x x)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s)))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 4 binary32)) x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 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 #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 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32))) s)) (neg.f32 s)))))
(/.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 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)) 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 x (*.f32 #s(literal -1/48 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.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))))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) 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)))))
Calls

1 calls:

17.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
94.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

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

1 calls:

12.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
94.4%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes45.0ms (0.4%)

Counts
43 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.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 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 s (*.f32 s (/.f32 #s(literal -2 binary32) x))) s) x)
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) s) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s s) (*.f32 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 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) s)) (*.f32 s s))
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
(*.f32 s (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(/.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 x (/.f32 (/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.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 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 (*.f32 x x) s) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (+.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 x (*.f32 x x)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x)
Calls

3 calls:

16.0ms
x
13.0ms
(neg.f32 x)
11.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
90.6%2x
90.6%2(neg.f32 x)
93.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes9.0ms (0.1%)

Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.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 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s))
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 s (*.f32 s (/.f32 #s(literal -2 binary32) x))) s) x)
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) s) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 s (*.f32 x (/.f32 x s)))) (/.f32 s x))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s s) (*.f32 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 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) s)) (*.f32 s s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)
Calls

1 calls:

8.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
90.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.2%)

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

3 calls:

6.0ms
(neg.f32 x)
5.0ms
x
5.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
84.7%3x
84.7%3(neg.f32 x)
92.9%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes16.0ms (0.1%)

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

3 calls:

7.0ms
x
4.0ms
(neg.f32 x)
4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
71.1%2(neg.f32 x)
71.1%2x
74.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
74.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
74.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

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

1 calls:

3.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
74.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
Outputs
#s(literal 1 binary32)
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
Calls

1 calls:

3.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
75.4%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
Outputs
#s(literal 1 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
Calls

3 calls:

3.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
70.2%3x
70.2%3(neg.f32 x)
73.1%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes9.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 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)
#s(literal 1 binary32)
Calls

2 calls:

7.0ms
s
2.0ms
x
Results
AccuracySegmentsBranch
68.9%3x
46.0%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
#s(literal 1 binary32)
Outputs
#s(literal 1/2 binary32)
#s(literal 1 binary32)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
57.6%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
s
1.0ms
x
Results
AccuracySegmentsBranch
34.1%1s
34.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
38.63168716430664
76.30597686767578
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
38.63168716430664
76.30597686767578
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.2164728194475174
0.4297671616077423
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
38.63168716430664
76.30597686767578
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
38.63168716430664
76.30597686767578
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
38.63168716430664
76.30597686767578
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.4297671616077423
2.9646406173706055
0.0ms
-7.614073753356934
-0.3183082640171051
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.614073753356934
-0.3183082640171051
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.614073753356934
-0.3183082640171051
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.614073753356934
-0.3183082640171051
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.614073753356934
-0.3183082640171051
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.4297671616077423
2.9646406173706055
0.0ms
-7.614073753356934
-0.3183082640171051
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.4297671616077423
2.9646406173706055
0.0ms
-7.614073753356934
-0.3183082640171051
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.043430262378181e-20
8.388338425497952e-20
0.0ms
-6.809006299590692e-5
-3.105643372691702e-6
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.043430262378181e-20
8.388338425497952e-20
Compiler

Compiled 16 to 12 computations (25% saved)

simplify74.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
532×distribute-lft-neg-in_binary32
400×unsub-neg_binary32
324×neg-mul-1_binary32
276×neg-sub0_binary32
220×distribute-rgt-neg-in_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0128460
1191460
2248459
3299459
4392459
5549459
6824459
71227459
81568459
91776459
101881459
111916459
121918459
131918459
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) (neg.f32 s)) x) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/33554432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) 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))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s))))) (/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) (/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s))))
(if (<=.f32 x #s(literal -13743895/274877906944 binary32)) (/.f32 (neg.f32 s) x) (if (<=.f32 x #s(literal 1547425/77371252455336267181195264 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)))
(if (<=.f32 x #s(literal 1547425/77371252455336267181195264 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32))
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.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) (exp.f32 (/.f32 x (neg.f32 s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) (neg.f32 s)) x) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s))) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/33554432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) 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))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 13421773/33554432 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s))) s))))) (/.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))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s)) x) s))))) (/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s))) s))))) (/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) (/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 (/.f32 (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) x) x))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1 binary32) (if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s)))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 s #s(literal 2 binary32)) x) s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal -1 binary32) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1 binary32) (if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1 binary32) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1 binary32) (if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s))))
(if (<=.f32 x #s(literal -13743895/274877906944 binary32)) (/.f32 (neg.f32 s) x) (if (<=.f32 x #s(literal 1547425/77371252455336267181195264 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)))
(if (<=.f32 x #s(literal -13743895/274877906944 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 s x)) (if (<=.f32 x #s(literal 1547425/77371252455336267181195264 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)))
(if (<=.f32 x #s(literal 1547425/77371252455336267181195264 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32))
#s(literal 1/2 binary32)

soundness2.8s (26.2%)

Rules
4458×*-lowering-*.f32
4458×*-lowering-*.f64
3854×*-lowering-*.f32
3854×*-lowering-*.f64
3732×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043273
1295249
22801249
08623249
06305262
120514701
271474684
081244684
07356111
124895231
090915231
0140619
1405573
21414570
35777570
08547570
037211
1243205
22296205
08705205
06034731
119934092
271564060
080554060
0822
14422
226522
3223322
0862822
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1077 to 569 computations (47.2% saved)

preprocess88.0ms (0.8%)

Compiler

Compiled 946 to 270 computations (71.5% saved)

end0.0ms (0%)

Profiling

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