Logistic function

Time bar (total: 10.8s)

analyze72.0ms (0.7%)

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
...c/correct-round.rkt:119:19: 11.0ms (33.4% of total)
ival-div: 6.0ms (18.2% of total)
ival-<=: 5.0ms (15.2% of total)
ival-add: 3.0ms (9.1% of total)
ival-exp: 3.0ms (9.1% of total)
ival-neg: 3.0ms (9.1% of total)
ival-and: 1.0ms (3% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (10.4%)

Results
885.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 584.0ms
ival-div: 143.0ms (24.5% of total)
...c/correct-round.rkt:119:19: 126.0ms (21.6% of total)
ival-<=: 88.0ms (15.1% of total)
ival-neg: 85.0ms (14.6% of total)
ival-exp: 60.0ms (10.3% of total)
ival-add: 50.0ms (8.6% of total)
ival-and: 17.0ms (2.9% of total)
const: 11.0ms (1.9% 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)))))

explain89.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
24(5.866696705433695e-22 2.276665983103229e-24)2(-7.317131434092516e-8 1.8016349523364283e-9)(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
56.0ms512×0valid
Compiler

Compiled 77 to 26 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 10.0ms (45.3% of total)
ival-exp: 5.0ms (22.6% of total)
ival-add: 3.0ms (13.6% of total)
ival-neg: 3.0ms (13.6% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.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)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
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

localize36.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.8%
(exp.f32 (/.f32 (neg.f32 x) s))
Results
27.0ms256×0valid
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 (44.6% of total)
ival-exp: 2.0ms (22.3% of total)
ival-add: 1.0ms (11.2% of total)
ival-neg: 1.0ms (11.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

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

21 calls:

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

rewrite283.0ms (2.6%)

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
0863022
Stop Event
1×iter limit
1×node limit
Counts
4 → 358
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
(neg x)
Outputs
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 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 x (neg.f32 s)))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 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 x (neg.f32 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 x (neg.f32 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 x (neg.f32 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 x (neg.f32 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 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 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 x (neg.f32 s))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (neg.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(fma.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (exp.f32 (/.f32 x s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (exp.f32 (/.f32 x s))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 6 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (*.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 6 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 4 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
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(*.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 x (neg.f32 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 x (neg.f32 s))) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 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 x (neg.f32 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 x (neg.f32 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 x (neg.f32 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 x (neg.f32 s)))))))
(*.f32 (pow.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)) #s(literal 3 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 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 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 x (neg.f32 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 x (neg.f32 s)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 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 x (neg.f32 s)) #s(literal 4 binary32)))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 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 x (neg.f32 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 x (neg.f32 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 x (neg.f32 s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) (neg.f32 x)))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 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 x (neg.f32 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 x (neg.f32 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 x (neg.f32 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 x (neg.f32 s)) #s(literal 1/2 binary32))) (pow.f32 (/.f32 x (neg.f32 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)) (*.f32 (neg.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)) (neg.f32 (*.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 x (neg.f32 s)) #s(literal 1/2 binary32))) (pow.f32 (/.f32 x (neg.f32 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) x)) (exp.f32 (/.f32 x s)))
(/.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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(*.f32 (exp.f32 (/.f32 x (neg.f32 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 x (neg.f32 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 x (neg.f32 s))))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (/.f32 x (neg.f32 s))))
(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) (*.f32 (neg.f32 x) (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 x (neg.f32 (*.f32 x x))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 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) x #s(literal 0 binary32))
(fma.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.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) x) x)
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 (neg.f32 x) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) (*.f32 (neg.f32 x) (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (neg.f32 (*.f32 x x)))))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 x x)))
(/.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (*.f32 x x))
(/.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (neg.f32 (neg.f32 (*.f32 x x))))
(/.f32 (neg.f32 (*.f32 x x)) x)
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 x x)))) x)
(*.f32 #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) x)
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(*.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) x))
(log.f32 (exp.f32 (neg.f32 x)))

simplify179.0ms (1.7%)

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
21415570
35776570
08533570
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ 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)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
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 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) 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 #s(literal 1/4 binary32) (/.f32 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 #s(literal 1/4 binary32) (/.f32 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))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) 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 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 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)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) 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 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #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 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #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 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) 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 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #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 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #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 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 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 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)

eval38.0ms (0.4%)

Compiler

Compiled 10136 to 1269 computations (87.5% saved)

prune58.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New42616442
Fresh000
Picked011
Done000
Total42617443
Accuracy
99.9%
Counts
443 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.7%
(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))
▶42.2%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
42.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
56.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.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) x) s)))
55.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
54.8%
(/.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)))))
57.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32))) (pow.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)))))
99.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 x (neg.f32 s))))))
▶29.7%
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)) s))
31.0%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
60.4%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 x (neg.f32 s))))
▶99.7%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
▶34.7%
#s(literal 1/2 binary32)
Compiler

Compiled 525 to 366 computations (30.3% saved)

simplify116.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f32 (/.f32 x (neg.f32 s)))
✓cost-diff32
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
✓cost-diff32
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
✓cost-diff64
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
✓cost-diff0
(E.f32)
✓cost-diff0
(pow.f32 (E.f32) (/.f32 x (neg.f32 s)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))
✓cost-diff0
(*.f32 #s(literal 1/4 binary32) x)
✓cost-diff0
(/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)) s)
✓cost-diff0
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)) s))
✓cost-diff64
(+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s))
✓cost-diff0
(exp.f32 (/.f32 x (neg.f32 s)))
✓cost-diff0
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
✓cost-diff0
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
✓cost-diff6304
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
Rules
2668×sum3-define
1948×fnmadd-define
1782×fma-define
1212×sum5-define
1144×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033211
172208
2139199
3272191
4425191
5594189
61046189
71915189
84323189
96773189
08018189
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
(neg (log (+ 1 (exp (/ x (neg s))))))
(log (+ 1 (exp (/ x (neg s)))))
(exp (/ x (neg s)))
(/ x (neg s))
x
(neg s)
s
1/2
(+ 1/2 (/ (+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s)) s))
1/2
(/ (+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s)) s)
(+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s))
(* 1/4 x)
1/4
x
(/ (* x (* (/ (* x x) s) -1/48)) s)
(* x (* (/ (* x x) s) -1/48))
(* (/ (* x x) s) -1/48)
(/ (* x x) s)
(* x x)
s
-1/48
(/ 1 (+ 1 (pow (E) (/ x (neg s)))))
1
(+ 1 (pow (E) (/ x (neg s))))
(pow (E) (/ x (neg s)))
(E)
(/ x (neg s))
x
(neg s)
s
(/ (- 1 (exp (/ x (neg s)))) (- 1 (exp (/ -2 (/ s x)))))
(- 1 (exp (/ x (neg s))))
1
(exp (/ x (neg s)))
(/ x (neg s))
x
(neg s)
s
(- 1 (exp (/ -2 (/ s x))))
(exp (/ -2 (/ s x)))
(/ -2 (/ s x))
-2
(/ s x)
Outputs
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(neg (log (+ 1 (exp (/ x (neg s))))))
(neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(log (+ 1 (exp (/ x (neg s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(exp (/ x (neg s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/ x (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
x
(neg s)
(neg.f32 s)
s
1/2
#s(literal 1/2 binary32)
(+ 1/2 (/ (+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s)) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/48 binary32)) s))) s))
1/2
#s(literal 1/2 binary32)
(/ (+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s)) s)
(/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/48 binary32)) s))) s)
(+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s))
(*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/48 binary32)) s)))
(* 1/4 x)
(*.f32 x #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
x
(/ (* x (* (/ (* x x) s) -1/48)) s)
(*.f32 x (/.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/48 binary32)) s))
(* x (* (/ (* x x) s) -1/48))
(*.f32 x (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/48 binary32)))
(* (/ (* x x) s) -1/48)
(*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/48 binary32))
(/ (* x x) s)
(*.f32 x (/.f32 x s))
(* x x)
(*.f32 x x)
s
-1/48
#s(literal -1/48 binary32)
(/ 1 (+ 1 (pow (E) (/ x (neg s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1
#s(literal 1 binary32)
(+ 1 (pow (E) (/ x (neg s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(pow (E) (/ x (neg s)))
(pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(E)
(E.f32)
(/ x (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
x
(neg s)
(neg.f32 s)
s
(/ (- 1 (exp (/ x (neg s)))) (- 1 (exp (/ -2 (/ s x)))))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (*.f32 x (/.f32 #s(literal -2 binary32) s))))
(- 1 (exp (/ x (neg s))))
(neg.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
1
#s(literal 1 binary32)
(exp (/ x (neg s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/ x (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
x
(neg s)
(neg.f32 s)
s
(- 1 (exp (/ -2 (/ s x))))
(neg.f32 (expm1.f32 (*.f32 x (/.f32 #s(literal -2 binary32) s))))
(exp (/ -2 (/ s x)))
(exp.f32 (*.f32 x (/.f32 #s(literal -2 binary32) s)))
(/ -2 (/ s x))
(*.f32 x (/.f32 #s(literal -2 binary32) s))
-2
#s(literal -2 binary32)
(/ s x)
(/.f32 s x)

localize253.0ms (2.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f32 #s(literal -2 binary32) (/.f32 s x))
✓accuracy94.0%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
✓accuracy83.0%
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
✓accuracy82.8%
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))
✓accuracy99.7%
(pow.f32 (E.f32) (/.f32 x (neg.f32 s)))
✓accuracy68.5%
(E.f32)
✓accuracy99.9%
(*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32)))
✓accuracy99.1%
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))
✓accuracy90.1%
(/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)
✓accuracy86.8%
(/.f32 (*.f32 x x) s)
✓accuracy100.0%
(neg.f32 s)
✓accuracy99.8%
(exp.f32 (/.f32 x (neg.f32 s)))
✓accuracy99.7%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
✓accuracy94.5%
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
Results
115.0ms93×1valid
44.0ms85×0unsamplable
40.0ms77×0valid
2.0ms1×5exit
Compiler

Compiled 226 to 33 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-div: 26.0ms (20.9% of total)
compiled-spec: 17.0ms (13.7% of total)
ival-pow: 15.0ms (12.1% of total)
ival-add: 13.0ms (10.5% of total)
backward-pass: 10.0ms (8% of total)
ival-exp: 9.0ms (7.2% of total)
ival-mult: 9.0ms (7.2% of total)
ival-log: 8.0ms (6.4% of total)
...c/correct-round.rkt:119:19: 6.0ms (4.8% of total)
ival-neg: 4.0ms (3.2% of total)
ival-sub: 4.0ms (3.2% of total)
ival-e: 4.0ms (3.2% of total)
const: 1.0ms (0.8% of total)

series193.0ms (1.8%)

Counts
21 → 456
Calls
Call 1
Inputs
#<alt (exp (neg (log (+ 1 (exp (/ x (neg s)))))))>
#<alt (neg (log (+ 1 (exp (/ x (neg s))))))>
#<alt (log (+ 1 (exp (/ x (neg s)))))>
#<alt (exp (/ x (neg s)))>
#<alt (+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s))>
#<alt (+ 1/2 (/ (+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s)) s))>
#<alt (/ (+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s)) s)>
#<alt (* 1/4 x)>
#<alt (/ 1 (+ 1 (pow (E) (/ x (neg s)))))>
#<alt (+ 1 (pow (E) (/ x (neg s))))>
#<alt (pow (E) (/ x (neg s)))>
#<alt (E)>
#<alt (/ (- 1 (exp (/ x (neg s)))) (- 1 (exp (/ -2 (/ s x)))))>
#<alt (- 1 (exp (/ x (neg s))))>
#<alt (- 1 (exp (/ -2 (/ s x))))>
#<alt (neg s)>
#<alt (/ (* x x) s)>
#<alt (/ (* x (* (/ (* x x) s) -1/48)) s)>
#<alt (* (/ (* x x) s) -1/48)>
#<alt (* x (* (/ (* x x) s) -1/48))>
#<alt (/ -2 (/ s x))>
Outputs
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))>
#<alt (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ 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)))>
#<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 1/2>
#<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 (* 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 (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (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 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<alt (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))>
#<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 (/ 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 (- 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 (/ x s)>
#<alt (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)>
#<alt (/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)>
#<alt (/ x s)>
#<alt (* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (* 2 (/ x s))>
#<alt (/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)>
#<alt (/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)>
#<alt (/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 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 (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (- 1 (exp (* -2 (/ x s))))>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (* -1/48 (/ (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 (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) s))>
#<alt (* -1/48 (/ (pow x 2) 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 (* -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))>
Calls

114 calls:

TimeVariablePointExpression
69.0ms
x
@inf
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
33.0ms
x
@-inf
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
19.0ms
s
@-inf
(/ -2 (/ s x))
17.0ms
s
@0
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
11.0ms
s
@-inf
(/ 1 (+ 1 (pow (E) (/ x (neg s)))))

rewrite395.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
3766×*-lowering-*.f32
3766×*-lowering-*.f64
3646×/-lowering-/.f32
3646×/-lowering-/.f64
1726×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033154
1208150
21741145
08746145
Stop Event
1×iter limit
1×node limit
Counts
21 → 932
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
(neg (log (+ 1 (exp (/ x (neg s))))))
(log (+ 1 (exp (/ x (neg s)))))
(exp (/ x (neg s)))
(+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s))
(+ 1/2 (/ (+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s)) s))
(/ (+ (* 1/4 x) (/ (* x (* (/ (* x x) s) -1/48)) s)) s)
(* 1/4 x)
(/ 1 (+ 1 (pow (E) (/ x (neg s)))))
(+ 1 (pow (E) (/ x (neg s))))
(pow (E) (/ x (neg s)))
(E)
(/ (- 1 (exp (/ x (neg s)))) (- 1 (exp (/ -2 (/ s x)))))
(- 1 (exp (/ x (neg s))))
(- 1 (exp (/ -2 (/ s x))))
(neg s)
(/ (* x x) s)
(/ (* x (* (/ (* x x) s) -1/48)) s)
(* (/ (* x x) s) -1/48)
(* x (* (/ (* x x) s) -1/48))
(/ -2 (/ s x))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (exp.f32 (/.f32 #s(literal -1 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))))) (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))) (exp.f32 (/.f32 #s(literal -1 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))))) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 2 binary32))))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 3 binary32)))))))) (fma.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 2 binary32)))))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 3 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 2 binary32))))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 3 binary32))))))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 2 binary32)))))))) (fma.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 2 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 2 binary32))))))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 2 binary32))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))) (exp.f32 (/.f32 #s(literal -1 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))))) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 (*.f32 x x) #s(literal -1/48 binary32)))))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) s)
(/.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (neg.f32 s))
(/.f32 #s(literal 1/48 binary32) (neg.f32 (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal -1/48 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 s))
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal -1/48 binary32)) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)))) s)
(/.f32 (neg.f32 (*.f32 #s(literal -1/48 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)))) s)
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal -1/48 binary32))) s)
(*.f32 x (*.f32 (/.f32 x s) #s(literal -1/48 binary32)))
(*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/48 binary32)))
(*.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) s))
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) s))
(*.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x #s(literal 1 binary32)) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s))
(*.f32 #s(literal 1/48 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) #s(literal 1/48 binary32))
(*.f32 (*.f32 #s(literal -1/48 binary32) x) (/.f32 x s))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal -1/48 binary32) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (*.f32 x #s(literal -1/48 binary32)) (neg.f32 s)))
(*.f32 (/.f32 #s(literal -1/48 binary32) s) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x x) #s(literal -1 binary32))))
(*.f32 (/.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 #s(literal -1/48 binary32) (neg.f32 s)))
(*.f32 (/.f32 (*.f32 x x) #s(literal 1 binary32)) (/.f32 #s(literal -1/48 binary32) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s)
(/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) x) s)
(/.f32 (neg.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32)))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) x)) (neg.f32 s))
(*.f32 x (/.f32 #s(literal -1/48 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (/.f32 (*.f32 x x) s) (*.f32 #s(literal -1/48 binary32) x))
(*.f32 #s(literal -1/48 binary32) (/.f32 x (/.f32 s (*.f32 x x))))
(*.f32 (/.f32 #s(literal -1/48 binary32) (/.f32 s (*.f32 x x))) x)
(*.f32 (/.f32 x (/.f32 s (*.f32 x x))) #s(literal -1/48 binary32))
(*.f32 (/.f32 x #s(literal 1 binary32)) (/.f32 #s(literal -1/48 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (*.f32 x #s(literal -1/48 binary32)) (/.f32 (*.f32 x x) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (neg.f32 s)))
(*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(neg.f32 (/.f32 #s(literal 2 binary32) (/.f32 s x)))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 s x) #s(literal -2 binary32))) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal -2 binary32) (/.f32 s x)))
(pow.f32 (/.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 s x) #s(literal -2 binary32)))))
(/.f32 #s(literal -2 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s x) #s(literal -2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 0 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal -2 binary32) s) (/.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) x)) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 #s(literal -2 binary32) s)) (neg.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (/.f32 s x)))
(*.f32 x (/.f32 #s(literal -2 binary32) s))
(*.f32 x (log.f32 (exp.f32 (/.f32 #s(literal -2 binary32) s))))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(*.f32 (/.f32 x s) #s(literal -2 binary32))
(*.f32 (/.f32 x s) (log.f32 (exp.f32 #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -2 binary32) s) x)
(*.f32 (/.f32 #s(literal 2 binary32) s) (neg.f32 x))
(log.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))

simplify252.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3692×*-lowering-*.f32
3692×*-lowering-*.f64
2474×+-lowering-+.f64
2474×+-lowering-+.f32
1236×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06294857
122793975
084103975
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ 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)))
(* 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))
1/2
(+ 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)
(* 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 (log (E))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
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 (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 (* -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)))))
1/2
(- (+ 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)))
(/ 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)))
(- 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))))
(/ x s)
(/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)
(/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)
(/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)
(/ x s)
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(* 2 (/ x s))
(/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)
(/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)
(/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 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))))
(- 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 (exp (* -2 (/ x s))))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(* -1/48 (/ (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)))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) s))
(* -1/48 (/ (pow x 2) 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))
(* -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))
Outputs
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(+.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))))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)) (*.f32 (+.f32 (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/8 binary32)) #s(literal 2 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x #s(literal 0 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x #s(literal -1/4 binary32)) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 x (*.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x #s(literal 1/4 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x #s(literal 0 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32))))) s) s)) s))
(* -1 (log 2))
(-.f32 #s(literal 0 binary32) (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(-.f32 (/.f32 (/.f32 x #s(literal 2 binary32)) s) (log.f32 #s(literal 2 binary32)))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(-.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal -1/8 binary32) (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) s))) (log.f32 #s(literal 2 binary32)))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(-.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/192 binary32)) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)))))) (log.f32 #s(literal 2 binary32)))
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(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s s))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s s))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s s))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s s))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s s))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s s))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s s))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s s))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 2) s))
(*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x s)))
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)

eval190.0ms (1.8%)

Compiler

Compiled 39352 to 3538 computations (91% saved)

prune168.0ms (1.5%)

Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New1503251528
Fresh6511
Picked325
Done011
Total1512331545
Accuracy
100.0%
Counts
1545 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.1%
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))))
42.2%
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
42.2%
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
42.1%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
42.0%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
42.2%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) s) x))))
18.8%
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
56.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
56.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
42.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
51.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x s))) x) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))))
56.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.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) x) s)))
55.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
▶54.8%
(/.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 -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
24.1%
(-.f32 (-.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x (/.f32 x s))) s))) (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/4 binary32))) (*.f32 s s)))) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/3 binary32)))
▶24.4%
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
19.2%
(+.f32 (/.f32 (*.f32 x #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
8.7%
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))))) s))
23.8%
(+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s))))) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))) s))
19.6%
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 x (*.f32 (*.f32 s s) #s(literal 1/4 binary32)))) (*.f32 s (*.f32 s s))))
29.5%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)))) s))
▶31.0%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
29.5%
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
31.0%
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x #s(literal 0 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
60.4%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 x (neg.f32 s))))
4.7%
(*.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))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
✓34.7%
#s(literal 1/2 binary32)
Compiler

Compiled 1718 to 968 computations (43.7% saved)

simplify246.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))))
✓cost-diff64
(*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
✓cost-diff64
(*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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)))))))
✓cost-diff0
(/.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 -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
✓cost-diff64
(*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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))))))
✓cost-diff128
(*.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))))
✓cost-diff0
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))
✓cost-diff0
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s)
✓cost-diff0
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
✓cost-diff64
(+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32)))
✓cost-diff0
(*.f32 x #s(literal 1/4 binary32))
✓cost-diff0
(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
✓cost-diff0
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
✓cost-diff0
(E.f32)
✓cost-diff0
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
Rules
3932×*-lowering-*.f32
3932×*-lowering-*.f64
1492×fma-lowering-fma.f32
1492×fma-lowering-fma.f64
1240×sum5-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
050332
1121309
2296305
3694300
41467287
53503284
67431284
08137284
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (E) (/ -1 (/ s x)))))
1
(+ 1 (pow (E) (/ -1 (/ s x))))
(pow (E) (/ -1 (/ s x)))
(E)
(/ -1 (/ s x))
-1
(/ s x)
s
x
(+ 1/2 (/ (* x 1/4) s))
1/2
(/ (* x 1/4) s)
(* x 1/4)
x
1/4
s
(- 1/2 (/ (+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4)) s))
1/2
(/ (+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4)) s)
(+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4))
(/ (* (* x (* x x)) 1/48) (* s s))
(* (* x (* x x)) 1/48)
(* x (* x x))
x
(* x x)
1/48
(* s s)
s
(* x -1/4)
-1/4
(/ 1 (+ 2 (* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))))))
1
(+ 2 (* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))))))
2
(* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))))
x
(+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))))
(/ -1 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)
(/ 1/2 (* s s))
1/2
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s)))))))
1
(+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s))))))
(pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s)))))
(* (E) (* (E) (E)))
(E)
(* (E) (E))
(* 1/3 (* 2 (* -1/2 (/ x s))))
1/3
(* 2 (* -1/2 (/ x s)))
2
(* -1/2 (/ x s))
-1/2
(/ x s)
x
s
Outputs
(/ 1 (+ 1 (pow (E) (/ -1 (/ s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1
#s(literal 1 binary32)
(+ 1 (pow (E) (/ -1 (/ s x))))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(pow (E) (/ -1 (/ s x)))
(pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(E)
(E.f32)
(/ -1 (/ s x))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
-1
#s(literal -1 binary32)
(/ s x)
(/.f32 s x)
s
x
(+ 1/2 (/ (* x 1/4) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (/.f32 s x)))
1/2
#s(literal 1/2 binary32)
(/ (* x 1/4) s)
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(* x 1/4)
(*.f32 x #s(literal 1/4 binary32))
x
1/4
#s(literal 1/4 binary32)
s
(- 1/2 (/ (+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (-.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/48 binary32)) s) s) #s(literal 1/4 binary32))) s))
1/2
#s(literal 1/2 binary32)
(/ (+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4)) s)
(/.f32 (*.f32 x (-.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/48 binary32)) s) s) #s(literal 1/4 binary32))) s)
(+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4))
(*.f32 x (-.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/48 binary32)) s) s) #s(literal 1/4 binary32)))
(/ (* (* x (* x x)) 1/48) (* s s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s s))
(* (* x (* x x)) 1/48)
(*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32)))
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
1/48
#s(literal 1/48 binary32)
(* s s)
(*.f32 s s)
s
(* x -1/4)
(*.f32 x #s(literal -1/4 binary32))
-1/4
#s(literal -1/4 binary32)
(/ 1 (+ 2 (* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))))))
(/.f32 #s(literal 1 binary32) (+.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)))))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s 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 (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s 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
(+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))))
(+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
s
(* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 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)
(*.f32 s s)
(/ 1/2 (* s s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
1/2
#s(literal 1/2 binary32)
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 x (/.f32 #s(literal -1/3 binary32) s)))))
1
#s(literal 1 binary32)
(+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s))))))
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 x (/.f32 #s(literal -1/3 binary32) s))))
(pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s)))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 x (/.f32 #s(literal -1/3 binary32) s)))
(* (E) (* (E) (E)))
(*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))
(E)
(E.f32)
(* (E) (E))
(*.f32 (E.f32) (E.f32))
(* 1/3 (* 2 (* -1/2 (/ x s))))
(*.f32 x (/.f32 #s(literal -1/3 binary32) s))
1/3
#s(literal 1/3 binary32)
(* 2 (* -1/2 (/ x s)))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
-1/2
#s(literal -1/2 binary32)
(/ x s)
(/.f32 x s)
x
s

localize303.0ms (2.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
✓accuracy99.6%
(E.f32)
✓accuracy98.6%
(*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
✓accuracy96.9%
(*.f32 (E.f32) (E.f32))
✓accuracy94.2%
(/.f32 x (*.f32 s (*.f32 s s)))
✓accuracy93.8%
(*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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))))))
✓accuracy89.2%
(*.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))))
✓accuracy78.7%
(+.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 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s)
✓accuracy99.8%
(*.f32 x (*.f32 x x))
✓accuracy99.0%
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
✓accuracy77.0%
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))
✓accuracy100.0%
(*.f32 x #s(literal 1/4 binary32))
✓accuracy100.0%
(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
✓accuracy100.0%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
✓accuracy99.7%
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
✓accuracy99.6%
(E.f32)
✓accuracy99.4%
(/.f32 #s(literal -1 binary32) (/.f32 s x))
Results
202.0ms255×0valid
4.0ms1×5exit
Compiler

Compiled 407 to 51 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-div: 27.0ms (28% of total)
ival-mult: 23.0ms (23.9% of total)
ival-pow: 19.0ms (19.7% of total)
...c/correct-round.rkt:119:19: 11.0ms (11.4% of total)
ival-add: 10.0ms (10.4% of total)
ival-e: 3.0ms (3.1% of total)
backward-pass: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
const: 1.0ms (1% of total)

series43.0ms (0.4%)

Counts
26 → 540
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (pow (E) (/ -1 (/ s x)))))>
#<alt (+ 1 (pow (E) (/ -1 (/ s x))))>
#<alt (pow (E) (/ -1 (/ s x)))>
#<alt (E)>
#<alt (+ 1/2 (/ (* x 1/4) s))>
#<alt (/ (* x 1/4) s)>
#<alt (* x 1/4)>
#<alt (+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4))>
#<alt (- 1/2 (/ (+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4)) s))>
#<alt (/ (+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4)) s)>
#<alt (/ (* (* x (* x x)) 1/48) (* s s))>
#<alt (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))>
#<alt (* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))))>
#<alt (/ 1 (+ 2 (* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))))))>
#<alt (+ 2 (* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))))))>
#<alt (* 1/3 (* 2 (* -1/2 (/ x s))))>
#<alt (* 2 (* -1/2 (/ x s)))>
#<alt (/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s)))))))>
#<alt (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s))))))>
#<alt (/ -1 (/ s x))>
#<alt (* (* x (* x x)) 1/48)>
#<alt (* x (* x x))>
#<alt (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))>
#<alt (/ x (* s (* s s)))>
#<alt (* (E) (E))>
#<alt (* -1/2 (/ x s))>
Outputs
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1/2>
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#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2)))) (pow s 2)))) (* -1/12 (/ (* x (log (pow (E) 3))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/648 (* (pow x 3) (pow (log (pow (E) 3)) 3))) (+ (* 1/432 (* (pow x 3) (pow (log (pow (E) 3)) 3))) (* 1/6 (* x (* (log (pow (E) 3)) (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))))))))) (pow s 3)))) (+ (* -1/12 (/ (* x (log (pow (E) 3))) s)) (+ (* -1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))) (* 1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s)) (* 1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s))) (* 1/12 (* x (log (pow (E) 3))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* x (* (log (pow (E) 3)) (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2)))))) s)) (+ (* -1/432 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)) (* 1/648 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)))) (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))))) s)) (* 1/12 (* x (log (pow (E) 3))))) s)))>
#<alt 2>
#<alt (+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))>
#<alt (+ 2 (* x (+ (* -1/3 (/ (log (pow (E) 3)) s)) (* 1/18 (/ (* x (pow (log (pow (E) 3)) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -1/3 (/ (log (pow (E) 3)) s)) (* x (+ (* -1/162 (/ (* x (pow (log (pow (E) 3)) 3)) (pow s 3))) (* 1/18 (/ (pow (log (pow (E) 3)) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))>
#<alt 2>
#<alt (+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))>
#<alt (+ 2 (+ (* -1/3 (/ (* x (log (pow (E) 3))) s)) (* 1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -1/3 (/ (* x (log (pow (E) 3))) s)) (+ (* -1/162 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) (pow s 3))) (* 1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s)) (* 1/3 (* x (log (pow (E) 3))))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)) (* 1/18 (* (pow x 2) (pow (log (pow (E) 3)) 2)))) s)) (* 1/3 (* x (log (pow (E) 3))))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (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 (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 (/ 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))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
Calls

135 calls:

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

rewrite316.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3212×pow-lowering-pow.f64
3212×pow-lowering-pow.f32
3062×*-lowering-*.f32
3062×*-lowering-*.f64
1900×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050234
1320211
22991211
08143211
Stop Event
1×iter limit
1×node limit
Counts
26 → 717
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (E) (/ -1 (/ s x)))))
(+ 1 (pow (E) (/ -1 (/ s x))))
(pow (E) (/ -1 (/ s x)))
(E)
(+ 1/2 (/ (* x 1/4) s))
(/ (* x 1/4) s)
(* x 1/4)
(+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4))
(- 1/2 (/ (+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4)) s))
(/ (+ (/ (* (* x (* x x)) 1/48) (* s s)) (* x -1/4)) s)
(/ (* (* x (* x x)) 1/48) (* s s))
(* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))
(* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))))
(/ 1 (+ 2 (* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))))))
(+ 2 (* x (+ (/ -1 s) (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))))))
(* 1/3 (* 2 (* -1/2 (/ x s))))
(* 2 (* -1/2 (/ x s)))
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s)))))))
(+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (* 2 (* -1/2 (/ x s))))))
(/ -1 (/ s x))
(* (* x (* x x)) 1/48)
(* x (* x x))
(+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))
(/ x (* s (* s s)))
(* (E) (E))
(* -1/2 (/ x s))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.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 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.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 (neg.f32 x) s)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (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 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(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 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))) (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) (-.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 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (-.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(exp.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
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(/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -1/2 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s)))
(/.f32 (+.f32 (*.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 s s) #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 (/.f32 (*.f32 s s) #s(literal 1/2 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s (*.f32 s s))))
(/.f32 (neg.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)))))) (neg.f32 (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s))))) (neg.f32 (-.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 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s))) (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s)))) (-.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 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.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 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(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 (/.f32 (*.f32 s (*.f32 s s)) x)))
(/.f32 x (*.f32 s (*.f32 s s)))
(/.f32 (/.f32 (neg.f32 x) s) (-.f32 #s(literal 0 binary32) (*.f32 s s)))
(/.f32 (/.f32 x s) (*.f32 s s))
(/.f32 (neg.f32 x) (neg.f32 (*.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 x #s(literal 1 binary32)) (*.f32 s (*.f32 s s)))
(/.f32 (/.f32 (/.f32 x s) s) s)
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (*.f32 s s)) s))
(*.f32 x (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)))
(*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) x)
(exp.f32 #s(literal 2 binary32))
(pow.f32 (E.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) #s(literal 2/3 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 6 binary32))
(pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 1/3 binary32))
(cbrt.f32 (*.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))))
(*.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32)))
(*.f32 (E.f32) (E.f32))
(*.f32 (exp.f32 #s(literal 2/3 binary32)) (exp.f32 #s(literal 4/3 binary32)))
(*.f32 (exp.f32 #s(literal 1/2 binary32)) (exp.f32 #s(literal 3/2 binary32)))
(*.f32 (exp.f32 #s(literal 3/2 binary32)) (exp.f32 #s(literal 1/2 binary32)))
(*.f32 (exp.f32 #s(literal 4/3 binary32)) (exp.f32 #s(literal 2/3 binary32)))
(*.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (exp.f32 #s(literal 1/3 binary32)))
(pow.f32 (/.f32 s (*.f32 x #s(literal -1/2 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x #s(literal -1/2 binary32))))
(/.f32 #s(literal -1/2 binary32) (/.f32 s x))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(/.f32 (neg.f32 (*.f32 x #s(literal -1/2 binary32))) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 x)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) #s(literal -1/2 binary32)) (neg.f32 s))
(*.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/2 binary32)))
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(*.f32 (*.f32 x #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) s))

simplify287.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4452×*-lowering-*.f32
4452×*-lowering-*.f64
2000×+-lowering-+.f64
2000×+-lowering-+.f32
1330×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06645587
122134878
279904869
086254869
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
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(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
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(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
1
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(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
1/2
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(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
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(* 1/4 (/ x s))
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(* 1/4 x)
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(* 1/4 x)
(* 1/4 x)
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(* -1/4 x)
(* x (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4))
(* x (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4))
(* x (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2))))))
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(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2))))))
(* 1/48 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 2))
(/ (+ (* -1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 2))
(/ (+ (* -1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 2))
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1/2
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(* -1/48 (/ (pow x 3) (pow s 3)))
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(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (- (* 1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 3))
(/ (- (* (pow s 2) (- (* 1/2 s) (* -1/4 x))) (* 1/48 (pow x 3))) (pow s 3))
(/ (- (* (pow s 2) (- (* 1/2 s) (* -1/4 x))) (* 1/48 (pow x 3))) (pow s 3))
1/2
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(- (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (* -1/4 (/ x s)))
1/2
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(* -1/4 (/ x s))
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(* x (- (* 1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
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(* 1/48 (/ (pow x 3) (pow s 3)))
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(* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2))))))
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1/2
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1/2
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1/2
(+ 1/2 (* 1/4 (/ x s)))
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2
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(* (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)))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
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(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
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(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
1/2
(+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))) (* 1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2)))))) (* -1/12 (/ (log (pow (E) 3)) s)))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/648 (/ (pow (log (pow (E) 3)) 3) (pow s 3))) (+ (* 1/432 (/ (pow (log (pow (E) 3)) 3) (pow s 3))) (* 1/6 (/ (* (log (pow (E) 3)) (+ (* -1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))) (* 1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))))) s)))))) (+ (* -1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))) (* 1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2)))))) (* -1/12 (/ (log (pow (E) 3)) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
1/2
(+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2)))) (pow s 2)))) (* -1/12 (/ (* x (log (pow (E) 3))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/648 (* (pow x 3) (pow (log (pow (E) 3)) 3))) (+ (* 1/432 (* (pow x 3) (pow (log (pow (E) 3)) 3))) (* 1/6 (* x (* (log (pow (E) 3)) (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))))))))) (pow s 3)))) (+ (* -1/12 (/ (* x (log (pow (E) 3))) s)) (+ (* -1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))) (* 1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))))))
1/2
(+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s)) (* 1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s))) (* 1/12 (* x (log (pow (E) 3))))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* x (* (log (pow (E) 3)) (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2)))))) s)) (+ (* -1/432 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)) (* 1/648 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)))) (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))))) s)) (* 1/12 (* x (log (pow (E) 3))))) s)))
2
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(+ 2 (* x (+ (* -1/3 (/ (log (pow (E) 3)) s)) (* x (+ (* -1/162 (/ (* x (pow (log (pow (E) 3)) 3)) (pow s 3))) (* 1/18 (/ (pow (log (pow (E) 3)) 2) (pow s 2))))))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
2
(+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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(+ 2 (+ (* -1/3 (/ (* x (log (pow (E) 3))) s)) (+ (* -1/162 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) (pow s 3))) (* 1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))))))
2
(+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)) (* 1/18 (* (pow x 2) (pow (log (pow (E) 3)) 2)))) s)) (* 1/3 (* x (log (pow (E) 3))))) s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
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(* 1/48 (pow x 3))
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(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
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(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(* 1/48 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* -1/6 (/ x (pow s 3)))
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(* -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))
(/ 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))
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(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
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(* -1/2 (/ x s))
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(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
Outputs
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) 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 (log (E))) 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 (log (E))) s)))))
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(+.f32 #s(literal 2 binary32) (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/3 binary32) (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (*.f32 (/.f32 (pow.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 2 binary32)) (*.f32 s s)) (*.f32 #s(literal 1/18 binary32) x)))) (*.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 x (*.f32 x x))) (/.f32 (pow.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 3 binary32)) (*.f32 s (*.f32 s s))))))
2
#s(literal 2 binary32)
(+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/3 binary32)) (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s))
(+ 2 (* -1 (/ (+ (* -1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s)) (* 1/3 (* x (log (pow (E) 3))))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/18 binary32) (*.f32 x x)) (/.f32 (pow.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 2 binary32)) s)) (*.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) (*.f32 x #s(literal 1/3 binary32)))) s))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)) (* 1/18 (* (pow x 2) (pow (log (pow (E) 3)) 2)))) s)) (* 1/3 (* x (log (pow (E) 3))))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) (*.f32 x #s(literal 1/3 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 x (*.f32 x x))) (pow.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 3 binary32))) s) (*.f32 (pow.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 x x) #s(literal 1/18 binary32)))) s)) s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(* 1/48 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+.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 (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+.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 (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+.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 (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(neg.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(neg.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(neg.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(* -1/6 (/ x (pow s 3)))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(* -1/2 (/ x s))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)

eval167.0ms (1.5%)

Compiler

Compiled 30560 to 3760 computations (87.7% saved)

prune160.0ms (1.5%)

Pruning

49 alts after pruning (43 fresh and 6 done)

PrunedKeptTotal
New1333261359
Fresh81725
Picked235
Done033
Total1343491392
Accuracy
100.0%
Counts
1392 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.1%
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))))
42.2%
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
42.1%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
42.2%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) s) x))))
18.8%
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
30.9%
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
32.4%
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
3.7%
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
31.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s)))
32.5%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
55.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
56.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
42.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
51.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x s))) x) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))))
51.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s))))
▶59.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
▶17.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
7.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))))))
51.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))))
26.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))))))))
26.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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)))))))))
59.1%
(/.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)))))))
55.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))))
▶57.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
57.7%
(/.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 -1/6 binary32) (/.f32 (/.f32 (/.f32 x s) s) s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
52.8%
(/.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 -1/6 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(literal 4 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 #s(literal -1/3 binary32) (/.f32 s x)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
32.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
24.1%
(-.f32 (-.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x (/.f32 x s))) s))) (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/4 binary32))) (*.f32 s s)))) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/3 binary32)))
21.8%
(-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)) (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))))) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))) (*.f32 x #s(literal 1/4 binary32)))) s))
✓24.4%
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
19.6%
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 s s) #s(literal -1/4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s))))
19.2%
(+.f32 (/.f32 (*.f32 x #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
8.7%
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))))) s))
29.5%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)))) s))
✓31.0%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
▶31.0%
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
29.5%
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
60.4%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 x (neg.f32 s))))
4.7%
(*.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))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
30.9%
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
✓34.7%
#s(literal 1/2 binary32)
Compiler

Compiled 2543 to 1449 computations (43% saved)

simplify234.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
✓cost-diff256
(*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x)
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
✓cost-diff64
(+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))
✓cost-diff64
(*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))
✓cost-diff0
(+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
✓cost-diff64
(*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
✓cost-diff0
(/.f32 #s(literal 1/4 binary32) s)
✓cost-diff0
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
✓cost-diff0
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))))))
✓cost-diff64
(*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))
✓cost-diff3392
(*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))))
Rules
2818×*-lowering-*.f32
2818×*-lowering-*.f64
1678×fma-lowering-fma.f32
1678×fma-lowering-fma.f64
1616×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
059582
1154539
2396532
3914505
42278500
56201500
08119500
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s))))))
1
(+ 1 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s)))))
(* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s))))
(exp (/ -1/3 (/ s x)))
(/ -1/3 (/ s x))
-1/3
(/ s x)
s
x
(exp (* 2/3 (/ (neg x) s)))
(* 2/3 (/ (neg x) s))
2/3
(/ (neg x) s)
(neg x)
(+ 1/2 (* (/ 1/4 s) x))
1/2
(* (/ 1/4 s) x)
(/ 1/4 s)
1/4
s
x
(/ 1 (+ 2 (* x (+ (/ -1 s) (* x (/ 1/2 (* s s)))))))
1
(+ 2 (* x (+ (/ -1 s) (* x (/ 1/2 (* s s))))))
2
(* x (+ (/ -1 s) (* x (/ 1/2 (* s s)))))
x
(+ (/ -1 s) (* x (/ 1/2 (* s s))))
(/ -1 s)
-1
s
(* x (/ 1/2 (* s s)))
(/ 1/2 (* s s))
1/2
(* s s)
(/ 1 (+ 2 (* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))))))
1
(+ 2 (* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s)))))
2
(* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))))
x
(+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s)))
(/ -1 s)
-1
s
(/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))
(+ (/ (* x (* x -1/6)) s) (* x 1/2))
(/ (* x (* x -1/6)) s)
(* x (* x -1/6))
(* x -1/6)
-1/6
(* x 1/2)
1/2
(* s s)
(/ 1 (+ 2 (* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))))))
1
(+ 2 (* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))))))
2
(* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))))
x
(+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))))
(/ -1 s)
-1
s
(/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))
(* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x)
(- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s))))
(* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s)))
1/36
(* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))
(/ (/ x (* s s)) s)
(/ x (* s s))
(* s s)
(/ 1/4 (* (* s s) (* s s)))
1/4
(* (* s s) (* s s))
(- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))
(/ -1/6 (/ (* s (* s s)) x))
-1/6
(/ (* s (* s s)) x)
(* s (* s s))
(/ 1/2 (* s s))
1/2
Outputs
(/ 1 (+ 1 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg 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 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (/ -1/3 (/ s x)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s)))
(/ -1/3 (/ s x))
(*.f32 #s(literal -1/3 binary32) (/.f32 x s))
-1/3
#s(literal -1/3 binary32)
(/ s x)
(/.f32 s x)
s
x
(exp (* 2/3 (/ (neg x) s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2/3 binary32)))
(* 2/3 (/ (neg x) s))
(*.f32 (/.f32 x s) #s(literal -2/3 binary32))
2/3
#s(literal 2/3 binary32)
(/ (neg x) s)
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(neg x)
(neg.f32 x)
(+ 1/2 (* (/ 1/4 s) x))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal 1/4 binary32) s)))
1/2
#s(literal 1/2 binary32)
(* (/ 1/4 s) x)
(*.f32 x (/.f32 #s(literal 1/4 binary32) s))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
x
(/ 1 (+ 2 (* x (+ (/ -1 s) (* x (/ 1/2 (* s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (/ -1 s) (* x (/ 1/2 (* s s))))))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))))
2
#s(literal 2 binary32)
(* x (+ (/ -1 s) (* x (/ 1/2 (* s s)))))
(*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)))
x
(+ (/ -1 s) (* x (/ 1/2 (* s s))))
(+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
s
(* x (/ 1/2 (* s s)))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.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 (+ 2 (* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))))))
(/.f32 #s(literal 1 binary32) (+.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)))))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s 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 (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s 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
(+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s)))
(+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 x (*.f32 s s)) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
s
(/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))
(*.f32 (/.f32 x (*.f32 s s)) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(+ (/ (* x (* x -1/6)) s) (* x 1/2))
(*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(/ (* x (* x -1/6)) s)
(/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)
(* x (* x -1/6))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* s s)
(*.f32 s s)
(/ 1 (+ 2 (* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (/.f32 (/.f32 (/.f32 x (*.f32 s s)) s) s) (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal 1/36 binary32) (*.f32 s s)))) #s(literal -1/4 binary32))) (+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))))))))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (/.f32 (/.f32 (/.f32 x (*.f32 s s)) s) s) (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal 1/36 binary32) (*.f32 s s)))) #s(literal -1/4 binary32))) (+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))))
2
#s(literal 2 binary32)
(* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))))
(*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (/.f32 (/.f32 (/.f32 x (*.f32 s s)) s) s) (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal 1/36 binary32) (*.f32 s s)))) #s(literal -1/4 binary32))) (+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))))))
x
(+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))))
(+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (/.f32 (/.f32 (/.f32 x (*.f32 s s)) s) s) (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal 1/36 binary32) (*.f32 s s)))) #s(literal -1/4 binary32))) (+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
s
(/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 x (*.f32 s s)) s) s) (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal 1/36 binary32) (*.f32 s s)))) #s(literal -1/4 binary32))) (+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))))
(* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x)
(*.f32 (/.f32 (/.f32 (/.f32 x (*.f32 s s)) s) s) (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal 1/36 binary32) (*.f32 s s)))) #s(literal -1/4 binary32)))
(- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s))))
(-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x (/.f32 #s(literal 1/36 binary32) (*.f32 s s)))) s) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 s (*.f32 s s)))))
(* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s)))
(/.f32 (/.f32 (*.f32 x (*.f32 x (/.f32 #s(literal 1/36 binary32) (*.f32 s s)))) s) (*.f32 s (*.f32 s s)))
1/36
#s(literal 1/36 binary32)
(* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))
(/.f32 (*.f32 x (/.f32 (/.f32 x (*.f32 s s)) s)) (*.f32 s (*.f32 s s)))
(/ (/ x (* s s)) s)
(/.f32 (/.f32 x (*.f32 s s)) s)
(/ x (* s s))
(/.f32 x (*.f32 s s))
(* s s)
(*.f32 s s)
(/ 1/4 (* (* s s) (* s s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 s (*.f32 s s))))
1/4
#s(literal 1/4 binary32)
(* (* s s) (* s s))
(*.f32 s (*.f32 s (*.f32 s s)))
(- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))
(+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))
(/ -1/6 (/ (* s (* s s)) x))
(*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
-1/6
#s(literal -1/6 binary32)
(/ (* s (* s s)) x)
(/.f32 (*.f32 s (*.f32 s s)) x)
(* s (* s s))
(*.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)

localize377.0ms (3.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy88.5%
(/.f32 x (*.f32 s s))
✓accuracy80.1%
(-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓accuracy52.2%
(-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s))))
✓accuracy27.6%
(/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
✓accuracy98.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
✓accuracy93.8%
(*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))
✓accuracy90.6%
(/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))
✓accuracy85.2%
(/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)
✓accuracy99.5%
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
✓accuracy98.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
✓accuracy94.4%
(*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
✓accuracy86.9%
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓accuracy100.0%
(/.f32 #s(literal 1/4 binary32) s)
✓accuracy100.0%
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
✓accuracy99.4%
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
✓accuracy99.8%
(exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s)))
✓accuracy99.8%
(exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)))
✓accuracy99.2%
(/.f32 #s(literal -1/3 binary32) (/.f32 s x))
✓accuracy98.9%
(*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))
Results
261.0ms256×0valid
Compiler

Compiled 758 to 60 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-div: 37.0ms (37.6% of total)
ival-mult: 25.0ms (25.4% of total)
...c/correct-round.rkt:119:19: 16.0ms (16.2% of total)
ival-add: 11.0ms (11.2% of total)
ival-exp: 4.0ms (4.1% of total)
ival-sub: 2.0ms (2% of total)
const: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series125.0ms (1.2%)

Counts
30 → 696
Calls
Call 1
Inputs
#<alt (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s))))>
#<alt (* 2/3 (/ (neg x) s))>
#<alt (/ 1 (+ 1 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s))))))>
#<alt (+ 1 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s)))))>
#<alt (+ 1/2 (* (/ 1/4 s) x))>
#<alt (* (/ 1/4 s) x)>
#<alt (/ 1/4 s)>
#<alt (* x (+ (/ -1 s) (* x (/ 1/2 (* s s)))))>
#<alt (/ 1 (+ 2 (* x (+ (/ -1 s) (* x (/ 1/2 (* s s)))))))>
#<alt (+ 2 (* x (+ (/ -1 s) (* x (/ 1/2 (* s s))))))>
#<alt (+ (/ -1 s) (* x (/ 1/2 (* s s))))>
#<alt (* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))))>
#<alt (+ (/ (* x (* x -1/6)) s) (* x 1/2))>
#<alt (/ 1 (+ 2 (* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))))))>
#<alt (+ 2 (* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s)))))>
#<alt (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x)>
#<alt (/ 1 (+ 2 (* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))))))>
#<alt (+ 2 (* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))))))>
#<alt (* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))))>
#<alt (/ -1/3 (/ s x))>
#<alt (exp (/ -1/3 (/ s x)))>
#<alt (exp (* 2/3 (/ (neg x) s)))>
#<alt (* x (/ 1/2 (* s s)))>
#<alt (/ 1/2 (* s s))>
#<alt (/ (* x (* x -1/6)) s)>
#<alt (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))>
#<alt (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))>
#<alt (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s))))>
#<alt (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))>
#<alt (/ x (* s s))>
Outputs
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt 1>
#<alt (+ 1 (+ (* -2/3 (/ x s)) (* -1/3 (/ x s))))>
#<alt (+ 1 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))>
#<alt (+ 1 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* -2/27 (/ (pow x 3) (pow s 3))) (+ (* -4/81 (/ (pow x 3) (pow s 3))) (+ (* -1/27 (/ (pow x 3) (pow s 3))) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (* 1/3 x) (* 2/3 x)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3))))) s)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (* -2/3 (/ x s))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (* 1/4 (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (pow s 2)))) (* 1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -2/3 x) (* -1/3 x)) (+ (* -1/8 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (* 1/4 (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))))) (+ (* -1/8 (* (+ (* -2/3 x) (* -1/3 x)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (* 1/4 (+ (* -2/27 (pow x 3)) (+ (* -4/81 (pow x 3)) (+ (* -1/27 (pow x 3)) (* -1/162 (pow x 3)))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -2/3 x) (* -1/3 x)) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)) (* 1/4 (/ (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (+ (* 1/3 x) (* 2/3 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* 1/3 x) (* 2/3 x)) 2) s)) (* 1/4 (/ (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) s))) (* 1/4 (+ (* 1/3 x) (* 2/3 x)))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (* 1/4 (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (+ (* 1/3 x) (* 2/3 x))) s)) (+ (* -1/8 (/ (* (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) (+ (* 1/3 x) (* 2/3 x))) s)) (* 1/4 (/ (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3))))) s)))) (+ (* -1/8 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (* 1/4 (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))))) s)) (* 1/4 (+ (* 1/3 x) (* 2/3 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) (- (* (pow x 2) (- (* 1/192 (/ 1 (pow s 5))) (* 1/320 (/ 1 (pow s 5))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))>
#<alt (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))>
#<alt (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))>
#<alt (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))>
#<alt (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))>
#<alt 2>
#<alt (+ 2 (+ (* -2/3 (/ x s)) (* -1/3 (/ x s))))>
#<alt (+ 2 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))>
#<alt (+ 2 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* -2/27 (/ (pow x 3) (pow s 3))) (+ (* -4/81 (/ (pow x 3) (pow s 3))) (+ (* -1/27 (/ (pow x 3) (pow s 3))) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ (* 1/3 x) (* 2/3 x)) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3))))) s)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))>
#<alt 2>
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#<alt (/ 1/4 s)>
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#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
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#<alt 1/2>
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#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
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#<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))>
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#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
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#<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))>
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#<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>
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#<alt 1/2>
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#<alt 2>
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#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
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#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt 2>
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#<alt 2>
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#<alt (/ -1 s)>
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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))))))>
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#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
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#<alt (* 1/2 x)>
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#<alt 1/2>
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#<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)))>
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#<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)))))>
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#<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>
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#<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>
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#<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>
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#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
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#<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>
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#<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 (* -1/4 (/ x (pow s 4)))>
#<alt (* x (- (* 1/36 (/ (pow x 2) (pow s 6))) (* 1/4 (/ 1 (pow s 4)))))>
#<alt (* x (- (* 1/36 (/ (pow x 2) (pow s 6))) (* 1/4 (/ 1 (pow s 4)))))>
#<alt (* x (- (* 1/36 (/ (pow x 2) (pow s 6))) (* 1/4 (/ 1 (pow s 4)))))>
#<alt (* 1/36 (/ (pow x 3) (pow s 6)))>
#<alt (* (pow x 3) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))>
#<alt (* (pow x 3) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))>
#<alt (* (pow x 3) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))>
#<alt (* 1/36 (/ (pow x 3) (pow s 6)))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (* (pow s 4) (pow x 2)))) (* 1/36 (/ 1 (pow s 6))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (* (pow s 4) (pow x 2)))) (* 1/36 (/ 1 (pow s 6))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (* (pow s 4) (pow x 2)))) (* 1/36 (/ 1 (pow s 6))))))>
#<alt (* 1/36 (/ (pow x 3) (pow s 6)))>
#<alt (/ (+ (* -1/4 (* (pow s 2) x)) (* 1/36 (pow x 3))) (pow s 6))>
#<alt (/ (+ (* -1/4 (* (pow s 2) x)) (* 1/36 (pow x 3))) (pow s 6))>
#<alt (/ (+ (* -1/4 (* (pow s 2) x)) (* 1/36 (pow x 3))) (pow s 6))>
#<alt (* -1/4 (/ x (pow s 4)))>
#<alt (/ (+ (* -1/4 x) (* 1/36 (/ (pow x 3) (pow s 2)))) (pow s 4))>
#<alt (/ (+ (* -1/4 x) (* 1/36 (/ (pow x 3) (pow s 2)))) (pow s 4))>
#<alt (/ (+ (* -1/4 x) (* 1/36 (/ (pow x 3) (pow s 2)))) (pow s 4))>
#<alt (* -1/4 (/ x (pow s 4)))>
#<alt (/ (+ (* -1/4 x) (* 1/36 (/ (pow x 3) (pow s 2)))) (pow s 4))>
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#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
Calls

174 calls:

TimeVariablePointExpression
78.0ms
x
@-inf
(* x (/ 1/2 (* s s)))
4.0ms
x
@0
(/ 1 (+ 1 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s))))))
2.0ms
x
@0
(* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x)
1.0ms
s
@0
(* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x)
1.0ms
s
@inf
(/ 1 (+ 1 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s))))))

rewrite605.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
4444×*-lowering-*.f32
4444×*-lowering-*.f64
2484×/-lowering-/.f32
2484×/-lowering-/.f64
1814×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059420
1407329
24573323
08976323
Stop Event
1×iter limit
1×node limit
Counts
30 → 586
Calls
Call 1
Inputs
(* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s))))
(* 2/3 (/ (neg x) s))
(/ 1 (+ 1 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s))))))
(+ 1 (* (exp (/ -1/3 (/ s x))) (exp (* 2/3 (/ (neg x) s)))))
(+ 1/2 (* (/ 1/4 s) x))
(* (/ 1/4 s) x)
(/ 1/4 s)
(* x (+ (/ -1 s) (* x (/ 1/2 (* s s)))))
(/ 1 (+ 2 (* x (+ (/ -1 s) (* x (/ 1/2 (* s s)))))))
(+ 2 (* x (+ (/ -1 s) (* x (/ 1/2 (* s s))))))
(+ (/ -1 s) (* x (/ 1/2 (* s s))))
(* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))))
(+ (/ (* x (* x -1/6)) s) (* x 1/2))
(/ 1 (+ 2 (* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))))))
(+ 2 (* x (+ (/ -1 s) (/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s)))))
(* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x)
(/ 1 (+ 2 (* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))))))
(+ 2 (* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))))))
(* x (+ (/ -1 s) (/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))))
(/ -1/3 (/ s x))
(exp (/ -1/3 (/ s x)))
(exp (* 2/3 (/ (neg x) s)))
(* x (/ 1/2 (* s s)))
(/ 1/2 (* s s))
(/ (* x (* x -1/6)) s)
(/ (+ (/ (* x (* x -1/6)) s) (* x 1/2)) (* s s))
(/ (* (- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s)))) x) (- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s))))
(- (* 1/36 (* (/ (/ x (* s s)) s) (/ (/ x (* s s)) s))) (/ 1/4 (* (* s s) (* s s))))
(- (/ -1/6 (/ (* s (* s s)) x)) (/ 1/2 (* s s)))
(/ x (* s s))
Outputs
(exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))
(*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))
(*.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))))
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))
(*.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)))) (exp.f32 (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))
(*.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))))
(neg.f32 (*.f32 (/.f32 x s) #s(literal 2/3 binary32)))
(neg.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x s)))
(pow.f32 (/.f32 s (*.f32 #s(literal -2/3 binary32) x)) #s(literal -1 binary32))
(/.f32 #s(literal 2/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 #s(literal -2/3 binary32) x)))
(/.f32 (*.f32 #s(literal -2/3 binary32) x) s)
(/.f32 (neg.f32 (*.f32 #s(literal -2/3 binary32) x)) (neg.f32 s))
(/.f32 (*.f32 #s(literal 2/3 binary32) x) (neg.f32 s))
(/.f32 (*.f32 x #s(literal 2/3 binary32)) (neg.f32 s))
(*.f32 #s(literal 2/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(*.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2/3 binary32)))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2/3 binary32))
(*.f32 (*.f32 #s(literal -2/3 binary32) x) (/.f32 #s(literal 1 binary32) s))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32)))))
(*.f32 (pow.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) 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 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) (expm1.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) (expm1.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))) #s(literal -1 binary32)))
(+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) (expm1.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))) (/.f32 (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) (expm1.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))))
(/.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (neg.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) (expm1.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 3 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) (expm1.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) (expm1.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))))
(/.f32 (expm1.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))) (expm1.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))))
(*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s))) (expm1.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x)) (/.f32 (*.f32 #s(literal -2/3 binary32) x) s)))))))
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(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (/.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal -1/6 binary32)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (/.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal -1/6 binary32)) #s(literal 1/2 binary32))) (*.f32 (/.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal -1/6 binary32)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s s))) (*.f32 (/.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal -1/6 binary32)) #s(literal -1/2 binary32))) (*.f32 (/.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal -1/6 binary32)) (neg.f32 (*.f32 s s))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (/.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal -1/6 binary32)) s))
(/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal 1 binary32))) (*.f32 (/.f32 s (/.f32 x (*.f32 s s))) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (neg.f32 (*.f32 s s))) (*.f32 (/.f32 s (/.f32 x (*.f32 s s))) #s(literal -1/2 binary32))) (*.f32 (/.f32 s (/.f32 x (*.f32 s s))) (neg.f32 (*.f32 s s))))
(/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) s) (*.f32 (/.f32 s (/.f32 x (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (/.f32 s (/.f32 x (*.f32 s s))) s))
(/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)) #s(literal 1/2 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (neg.f32 (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)) #s(literal -1/2 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)) (neg.f32 (*.f32 s s))))
(/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) s) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)) s))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)))) (neg.f32 (*.f32 (*.f32 s s) (/.f32 s (/.f32 x (*.f32 s s))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))) (neg.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))))
(/.f32 (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (*.f32 s s))))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))) (+.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (*.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))))))
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))))
(/.f32 (neg.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) (*.f32 s s)))) (neg.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 s (/.f32 x (*.f32 s s)))) (*.f32 s s))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) (*.f32 s s))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))
(*.f32 (-.f32 (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (/.f32 s (/.f32 x (*.f32 s s))))))
(*.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))))
(neg.f32 (neg.f32 (/.f32 x (*.f32 s s))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s s) x)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s s) x) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s s) x) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (/.f32 x s)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 s s))) (neg.f32 (/.f32 x (*.f32 s s))))
(/.f32 x (*.f32 s s))
(/.f32 x (neg.f32 (neg.f32 (*.f32 s s))))
(/.f32 (neg.f32 x) (neg.f32 (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s s) x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s s) x)))
(/.f32 (/.f32 x s) s)
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) (neg.f32 s))
(/.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 s s))
(*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s s))))
(*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s s)))
(*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (*.f32 s s))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x s))

simplify420.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
4996×*-lowering-*.f32
4996×*-lowering-*.f64
3380×+-lowering-+.f64
3380×+-lowering-+.f32
1608×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07347735
123726726
088076726
Stop Event
1×iter limit
1×node limit
Counts
696 → 696
Calls
Call 1
Inputs
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
1
(+ 1 (+ (* -2/3 (/ x s)) (* -1/3 (/ x s))))
(+ 1 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))
(+ 1 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* -2/27 (/ (pow x 3) (pow s 3))) (+ (* -4/81 (/ (pow x 3) (pow s 3))) (+ (* -1/27 (/ (pow x 3) (pow s 3))) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))))))
1
(+ 1 (* -1 (/ (+ (* 1/3 x) (* 2/3 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3))))) s)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(* -2/3 (/ x s))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
1/2
(+ 1/2 (* -1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (* 1/4 (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (pow s 2)))) (* 1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -2/3 x) (* -1/3 x)) (+ (* -1/8 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (* 1/4 (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))))) (+ (* -1/8 (* (+ (* -2/3 x) (* -1/3 x)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (* 1/4 (+ (* -2/27 (pow x 3)) (+ (* -4/81 (pow x 3)) (+ (* -1/27 (pow x 3)) (* -1/162 (pow x 3)))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -2/3 x) (* -1/3 x)) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)) (* 1/4 (/ (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ (+ (* 1/3 x) (* 2/3 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* 1/3 x) (* 2/3 x)) 2) s)) (* 1/4 (/ (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) s))) (* 1/4 (+ (* 1/3 x) (* 2/3 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (* 1/4 (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (+ (* 1/3 x) (* 2/3 x))) s)) (+ (* -1/8 (/ (* (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) (+ (* 1/3 x) (* 2/3 x))) s)) (* 1/4 (/ (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3))))) s)))) (+ (* -1/8 (pow (+ (* 1/3 x) (* 2/3 x)) 2)) (* 1/4 (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))))) s)) (* 1/4 (+ (* 1/3 x) (* 2/3 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) (- (* (pow x 2) (- (* 1/192 (/ 1 (pow s 5))) (* 1/320 (/ 1 (pow s 5))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
2
(+ 2 (+ (* -2/3 (/ x s)) (* -1/3 (/ x s))))
(+ 2 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))
(+ 2 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* -2/27 (/ (pow x 3) (pow s 3))) (+ (* -4/81 (/ (pow x 3) (pow s 3))) (+ (* -1/27 (/ (pow x 3) (pow s 3))) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))))))
2
(+ 2 (* -1 (/ (+ (* 1/3 x) (* 2/3 x)) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3))))) s)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s)))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 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)))
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1/2
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1/2
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1/2
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1/2
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1/2
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2
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2
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2
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1/2
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1/2
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1/2
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2
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2
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2
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(* -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))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
1
(+ 1 (* -1/3 (/ x s)))
(+ 1 (+ (* -1/3 (/ x s)) (* 1/18 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ x s)) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (* 1/18 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ x s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow x 2) s)) (* 1/3 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow x 3) s)) (* 1/18 (pow x 2))) s)) (* 1/3 x)) s)))
1
(+ 1 (* -1/3 (/ x s)))
(+ 1 (* x (- (* 1/18 (/ x (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/162 (/ x (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
(exp (* -1/3 (/ x s)))
1
(+ 1 (* -2/3 (/ x s)))
(+ 1 (* x (- (* 2/9 (/ x (pow s 2))) (* 2/3 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -4/81 (/ x (pow s 3))) (* 2/9 (/ 1 (pow s 2))))) (* 2/3 (/ 1 s)))))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
(exp (* -2/3 (/ x s)))
1
(+ 1 (* -2/3 (/ x s)))
(+ 1 (+ (* -2/3 (/ x s)) (* 2/9 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -2/3 (/ x s)) (+ (* -4/81 (/ (pow x 3) (pow s 3))) (* 2/9 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -2/3 (/ x s)))
(+ 1 (* -1 (/ (+ (* -2/9 (/ (pow x 2) s)) (* 2/3 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/81 (/ (pow x 3) s)) (* 2/9 (pow x 2))) s)) (* 2/3 x)) 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)))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* -1/6 (/ (pow x 2) s))
(* 1/2 (/ 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))
(* 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))
(/ -1/4 (pow s 4))
(- (* 1/36 (/ (pow x 2) (pow s 6))) (* 1/4 (/ 1 (pow s 4))))
(- (* 1/36 (/ (pow x 2) (pow s 6))) (* 1/4 (/ 1 (pow s 4))))
(- (* 1/36 (/ (pow x 2) (pow s 6))) (* 1/4 (/ 1 (pow s 4))))
(* 1/36 (/ (pow x 2) (pow s 6)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(* 1/36 (/ (pow x 2) (pow s 6)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(* 1/36 (/ (pow x 2) (pow s 6)))
(/ (+ (* -1/4 (pow s 2)) (* 1/36 (pow x 2))) (pow s 6))
(/ (+ (* -1/4 (pow s 2)) (* 1/36 (pow x 2))) (pow s 6))
(/ (+ (* -1/4 (pow s 2)) (* 1/36 (pow x 2))) (pow s 6))
(/ -1/4 (pow s 4))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/ -1/4 (pow s 4))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(* -1/6 (/ x (pow s 3)))
(/ (+ (* -1/2 s) (* -1/6 x)) (pow s 3))
(/ (+ (* -1/2 s) (* -1/6 x)) (pow s 3))
(/ (+ (* -1/2 s) (* -1/6 x)) (pow s 3))
(/ -1/2 (pow s 2))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/ -1/2 (pow s 2))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/ -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)))
(* -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 (* x (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* x (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* x (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
Outputs
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(+ 1 (+ (* -2/3 (/ x s)) (* -1/3 (/ x s))))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) s)))
(+ 1 (+ (* -2/3 (/ x s)) (+ (* -1/3 (/ x s)) (+ (* -2/27 (/ (pow x 3) (pow s 3))) (+ (* -4/81 (/ (pow x 3) (pow s 3))) (+ (* -1/27 (/ (pow x 3) (pow s 3))) (+ (* -1/162 (/ (pow x 3) (pow s 3))) (+ (* 1/18 (/ (pow x 2) (pow s 2))) (* 4/9 (/ (pow x 2) (pow s 2)))))))))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 x s)) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -10/81 binary32)) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -7/162 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (+ (* 1/3 x) (* 2/3 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow x 3)) (+ (* 1/27 (pow x 3)) (+ (* 4/81 (pow x 3)) (* 2/27 (pow x 3))))) s)) (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2)))) s)) (+ (* 1/3 x) (* 2/3 x))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/162 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 13/81 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 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #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 #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 (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(* -2/3 (/ x s))
(*.f32 #s(literal -2/3 binary32) (/.f32 x s))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/ 1 (+ 1 (* (exp (* -2/3 (/ x s))) (exp (* -1/3 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -2/3 x) (* -1/3 x)) 2)) (* 1/4 (+ (* 1/18 (pow x 2)) (* 4/9 (pow x 2))))) (pow s 2)))) (* 1/4 (/ (+ (* -2/3 x) (* -1/3 x)) s)))
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))
(* 1/2 (/ x (pow s 2)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))
(* 1/2 (/ x (pow s 2)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s))
(/ -1/4 (pow s 4))
(/.f32 #s(literal -1/4 binary32) (pow.f32 s #s(literal 4 binary32)))
(- (* 1/36 (/ (pow x 2) (pow s 6))) (* 1/4 (/ 1 (pow s 4))))
(-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 4 binary32))))
(- (* 1/36 (/ (pow x 2) (pow s 6))) (* 1/4 (/ 1 (pow s 4))))
(-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 4 binary32))))
(- (* 1/36 (/ (pow x 2) (pow s 6))) (* 1/4 (/ 1 (pow s 4))))
(-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 4 binary32))))
(* 1/36 (/ (pow x 2) (pow s 6)))
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (pow.f32 s #s(literal 6 binary32)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/36 binary32) (pow.f32 s #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 s #s(literal 4 binary32))) (*.f32 x x))))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/36 binary32) (pow.f32 s #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 s #s(literal 4 binary32))) (*.f32 x x))))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/36 binary32) (pow.f32 s #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 s #s(literal 4 binary32))) (*.f32 x x))))
(* 1/36 (/ (pow x 2) (pow s 6)))
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (pow.f32 s #s(literal 6 binary32)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/36 binary32) (pow.f32 s #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 s #s(literal 4 binary32))) (*.f32 x x))))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/36 binary32) (pow.f32 s #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 s #s(literal 4 binary32))) (*.f32 x x))))
(* (pow x 2) (- (* 1/36 (/ 1 (pow s 6))) (* 1/4 (/ 1 (* (pow s 4) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/36 binary32) (pow.f32 s #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 s #s(literal 4 binary32))) (*.f32 x x))))
(* 1/36 (/ (pow x 2) (pow s 6)))
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (pow.f32 s #s(literal 6 binary32)))
(/ (+ (* -1/4 (pow s 2)) (* 1/36 (pow x 2))) (pow s 6))
(/.f32 (+.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/36 binary32))) (pow.f32 s #s(literal 6 binary32)))
(/ (+ (* -1/4 (pow s 2)) (* 1/36 (pow x 2))) (pow s 6))
(/.f32 (+.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/36 binary32))) (pow.f32 s #s(literal 6 binary32)))
(/ (+ (* -1/4 (pow s 2)) (* 1/36 (pow x 2))) (pow s 6))
(/.f32 (+.f32 (*.f32 (*.f32 s s) #s(literal -1/4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/36 binary32))) (pow.f32 s #s(literal 6 binary32)))
(/ -1/4 (pow s 4))
(/.f32 #s(literal -1/4 binary32) (pow.f32 s #s(literal 4 binary32)))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 s s)) #s(literal -1/4 binary32)) (pow.f32 s #s(literal 4 binary32)))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 s s)) #s(literal -1/4 binary32)) (pow.f32 s #s(literal 4 binary32)))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 s s)) #s(literal -1/4 binary32)) (pow.f32 s #s(literal 4 binary32)))
(/ -1/4 (pow s 4))
(/.f32 #s(literal -1/4 binary32) (pow.f32 s #s(literal 4 binary32)))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 s s)) #s(literal -1/4 binary32)) (pow.f32 s #s(literal 4 binary32)))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 s s)) #s(literal -1/4 binary32)) (pow.f32 s #s(literal 4 binary32)))
(/ (- (* 1/36 (/ (pow x 2) (pow s 2))) 1/4) (pow s 4))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 s s)) #s(literal -1/4 binary32)) (pow.f32 s #s(literal 4 binary32)))
(* -1/6 (/ x (pow s 3)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))
(/ (+ (* -1/2 s) (* -1/6 x)) (pow s 3))
(/.f32 (+.f32 (*.f32 s #s(literal -1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/2 s) (* -1/6 x)) (pow s 3))
(/.f32 (+.f32 (*.f32 s #s(literal -1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/2 s) (* -1/6 x)) (pow s 3))
(/.f32 (+.f32 (*.f32 s #s(literal -1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ -1/2 (pow s 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 s s))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1/2 binary32)) (*.f32 s s))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1/2 binary32)) (*.f32 s s))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1/2 binary32)) (*.f32 s s))
(/ -1/2 (pow s 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 s s))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1/2 binary32)) (*.f32 s s))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1/2 binary32)) (*.f32 s s))
(/ (- (* -1/6 (/ x s)) 1/2) (pow s 2))
(/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1/2 binary32)) (*.f32 s s))
(/ -1/2 (pow s 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 s s))
(- (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1/2 binary32)) (*.f32 s s))
(- (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1/2 binary32)) (*.f32 s s))
(- (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(/.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1/2 binary32)) (*.f32 s s))
(* -1/6 (/ x (pow s 3)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))
(* -1 (* x (+ (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1 (* x (+ (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1 (* x (+ (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ x (pow s 3)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))
(* -1 (* x (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1 (* x (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1 (* x (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))

eval188.0ms (1.7%)

Compiler

Compiled 46325 to 4150 computations (91% saved)

prune247.0ms (2.3%)

Pruning

57 alts after pruning (49 fresh and 8 done)

PrunedKeptTotal
New1343191362
Fresh83038
Picked325
Done066
Total1354571411
Accuracy
100.0%
Counts
1411 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.1%
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))))
42.2%
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
42.2%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) s) x))))
18.8%
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s)))
30.9%
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
31.9%
(/.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))
32.4%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
32.9%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
31.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s)))
32.5%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
33.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
32.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
56.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
42.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
59.8%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)))) #s(literal 2 binary32)))
51.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s))))
17.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))))) x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))))
47.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
54.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 s s))))))
62.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) s)))))
✓59.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
11.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (-.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))))))
59.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x s)) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
20.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))))
51.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
51.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))))
59.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))))))))
16.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (*.f32 x (-.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) (*.f32 s s)))) (-.f32 (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)))) (*.f32 (*.f32 s s) (/.f32 s (/.f32 x (*.f32 s s)))))))))
26.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))))))))
26.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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)))))))))
59.1%
(/.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)))))))
52.8%
(/.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 -1/6 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
55.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(literal 4 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 #s(literal -1/3 binary32) (/.f32 s x)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 x s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 x s))))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
32.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
24.1%
(-.f32 (-.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x (/.f32 x s))) s))) (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/4 binary32))) (*.f32 s s)))) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/3 binary32)))
21.8%
(-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)) (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))))) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))) (*.f32 x #s(literal 1/4 binary32)))) s))
✓24.4%
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
19.6%
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 s s) #s(literal -1/4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s))))
19.2%
(+.f32 (/.f32 (*.f32 x #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
8.7%
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))))) s))
29.5%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)))) s))
✓31.0%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
✓31.0%
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
29.5%
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
60.4%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 x (neg.f32 s))))
4.7%
(*.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))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
30.9%
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
✓34.7%
#s(literal 1/2 binary32)
Compiler

Compiled 3710 to 1433 computations (61.4% saved)

regimes236.0ms (2.2%)

Counts
87 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x #s(literal 0 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 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 x (/.f32 x s)) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) 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 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.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 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 s s))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 x (*.f32 (*.f32 s s) #s(literal 1/4 binary32)))) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 s s) #s(literal -1/4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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 #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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
(+.f32 (/.f32 (*.f32 x #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x s)) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.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) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.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))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(/.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 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (/.f32 (/.f32 (/.f32 x s) s) s)) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x s))) x) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))))))))
(-.f32 (-.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x (/.f32 x s))) s))) (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/4 binary32))) (*.f32 s s)))) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/3 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)) (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))))) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))) (*.f32 x #s(literal 1/4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) 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 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s))))) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (*.f32 x (-.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) (*.f32 s s)))) (-.f32 (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)))) (*.f32 (*.f32 s s) (/.f32 s (/.f32 x (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (-.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.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 #s(literal 2 binary32) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))))) x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) 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 (E.f32) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 #s(literal -1/3 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.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 x (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) s) x))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.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) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(literal 4 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))))
(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32))) (pow.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 x s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
Calls

7 calls:

32.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
31.0ms
x
26.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
25.0ms
(neg.f32 x)
24.0ms
s
Results
AccuracySegmentsBranch
99.7%1x
99.7%1s
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes177.0ms (1.6%)

Counts
80 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x #s(literal 0 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 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 x (/.f32 x s)) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) 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 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.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 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 s s))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 x (*.f32 (*.f32 s s) #s(literal 1/4 binary32)))) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 s s) #s(literal -1/4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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 #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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
(+.f32 (/.f32 (*.f32 x #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x s)) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.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) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.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))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(/.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 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (/.f32 (/.f32 (/.f32 x s) s) s)) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x s))) x) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))))))))
(-.f32 (-.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x (/.f32 x s))) s))) (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/4 binary32))) (*.f32 s s)))) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/3 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)) (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))))) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))) (*.f32 x #s(literal 1/4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) 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 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s))))) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (*.f32 x (-.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) (*.f32 s s)))) (-.f32 (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)))) (*.f32 (*.f32 s s) (/.f32 s (/.f32 x (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (-.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.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 #s(literal 2 binary32) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))))) x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) 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 (E.f32) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 #s(literal -1/3 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.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 x (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) s) x))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.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) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 x s))))))
Calls

7 calls:

36.0ms
(neg.f32 x)
24.0ms
s
22.0ms
x
21.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
21.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1s
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes234.0ms (2.2%)

Counts
76 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
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(/.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 -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (/.f32 (/.f32 (/.f32 x s) s) s)) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x s))) x) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))))))))
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(-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)) (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))))) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))) (*.f32 x #s(literal 1/4 binary32)))) s))
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(+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s))))) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (*.f32 x (-.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) (*.f32 s s)))) (-.f32 (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)))) (*.f32 (*.f32 s s) (/.f32 s (/.f32 x (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (-.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))))))
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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))))))))))
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(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) 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 (E.f32) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 #s(literal -1/3 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.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 x (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) s) x))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
Calls

7 calls:

66.0ms
(/.f32 (neg.f32 x) s)
33.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
27.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
25.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
25.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1s
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes223.0ms (2.1%)

Counts
67 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x #s(literal 0 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 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 x (/.f32 x s)) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) 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 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.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 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 s s))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 x (*.f32 (*.f32 s s) #s(literal 1/4 binary32)))) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 s s) #s(literal -1/4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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 #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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
(+.f32 (/.f32 (*.f32 x #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x s)) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.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) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.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))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(/.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 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (/.f32 (/.f32 (/.f32 x s) s) s)) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x s))) x) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))))))))
(-.f32 (-.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x (/.f32 x s))) s))) (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/4 binary32))) (*.f32 s s)))) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/3 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)) (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))))) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))) (*.f32 x #s(literal 1/4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) 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 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s))))) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (*.f32 x (-.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) (*.f32 s s)))) (-.f32 (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)))) (*.f32 (*.f32 s s) (/.f32 s (/.f32 x (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (-.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.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 #s(literal 2 binary32) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))))) x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) 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 (E.f32) (/.f32 x (neg.f32 s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

51.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
47.0ms
x
43.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
19.0ms
(neg.f32 x)
19.0ms
s
Results
AccuracySegmentsBranch
99.7%1x
99.7%1s
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes70.0ms (0.6%)

Counts
64 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x #s(literal 0 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 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 x (/.f32 x s)) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) 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 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.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 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 s s))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 x (*.f32 (*.f32 s s) #s(literal 1/4 binary32)))) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 s s) #s(literal -1/4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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 #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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
(+.f32 (/.f32 (*.f32 x #s(literal 1/4 binary32)) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x s)) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.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) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.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))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(/.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 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (/.f32 (/.f32 (/.f32 x s) s) s)) (/.f32 #s(literal 1/2 binary32) (*.f32 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 -1/6 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x s))) x) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.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) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s s) #s(literal 1/2 binary32)))))))))
(-.f32 (-.f32 (+.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x (/.f32 x s))) s))) (+.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal -1/4 binary32))) (*.f32 s s)))) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/3 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)) (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))))) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))) (*.f32 x #s(literal 1/4 binary32)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) 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 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s))))) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (*.f32 x (-.f32 (/.f32 (/.f32 #s(literal 1/36 binary32) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 s (/.f32 x (*.f32 s s)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) (*.f32 s s)))) (-.f32 (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x (*.f32 s s)) s)))) (*.f32 (*.f32 s s) (/.f32 s (/.f32 x (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (-.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) s) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 s (*.f32 x x)) (/.f32 s (*.f32 #s(literal -1/48 binary32) x)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) x) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (/.f32 x (*.f32 s s)) s) (/.f32 (/.f32 x (*.f32 s s)) s))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.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 #s(literal 2 binary32) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (*.f32 s s) (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))))) x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (/.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s) (/.f32 s (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s)))))))
#s(literal 1/2 binary32)
Calls

2 calls:

31.0ms
s
26.0ms
x
Results
AccuracySegmentsBranch
68.7%2x
62.0%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
34 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x #s(literal 0 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 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 x (/.f32 x s)) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) 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 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.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 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 s s))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 x (*.f32 (*.f32 s s) #s(literal 1/4 binary32)))) (*.f32 s (*.f32 s s))))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 s s) #s(literal -1/4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))))
#s(literal 1/2 binary32)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
67.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
27 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x #s(literal 0 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 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 x (/.f32 x s)) s)))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (/.f32 x s)) s)) s) (/.f32 #s(literal 1/4 binary32) s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))) s)) s))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) 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))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
#s(literal 1/2 binary32)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
66.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x #s(literal 0 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)))) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s) (*.f32 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 x (/.f32 x s)) s)))) s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
#s(literal 1/2 binary32)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
65.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))) s)
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x #s(literal 0 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))
#s(literal 1/2 binary32)
Calls

2 calls:

4.0ms
x
3.0ms
s
Results
AccuracySegmentsBranch
45.6%2s
59.2%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
58.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
48.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -2.2b remaining (-10.3%)

Threshold costs -2.2b (-10.3%)

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

2 calls:

2.0ms
x
2.0ms
s
Results
AccuracySegmentsBranch
34.7%1s
34.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-3.091793140854818e-30
-1.5698131784892393e-30
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-3.861269982482748e-27
-2.94233080585285e-27
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-3.091793140854818e-30
-1.5698131784892393e-30
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-3.091793140854818e-30
-1.5698131784892393e-30
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-7.010634001514272e-23
-5.202399145957616e-23
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-7.010634001514272e-23
-5.202399145957616e-23
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.7383167986043015e-35
8.00686714324529e-35
Compiler

Compiled 16 to 12 computations (25% saved)

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
084182
1122182
2131182
3136182
4137182
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15576891/5192296858534827628530496329220096 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2376845/39614081257132168796771975168 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2376845/39614081257132168796771975168 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 6968983/348449143727040986586495598010130648530944 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) (/.f32 s x))) (exp.f32 (*.f32 #s(literal -2/3 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15576891/5192296858534827628530496329220096 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2376845/39614081257132168796771975168 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2376845/39614081257132168796771975168 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2376845/39614081257132168796771975168 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 6968983/348449143727040986586495598010130648530944 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)

soundness2.5s (23.4%)

Rules
4996×*-lowering-*.f32
4996×*-lowering-*.f64
4452×*-lowering-*.f32
4452×*-lowering-*.f64
3766×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140619
1405573
21415570
35776570
08533570
06645587
122134878
279904869
086254869
07347735
123726726
088076726
06294857
122793975
084103975
0822
14422
226522
3223322
0863022
050234
1320211
22991211
08143211
033154
1208150
21741145
08746145
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 507 to 327 computations (35.5% saved)

preprocess54.0ms (0.5%)

Compiler

Compiled 390 to 178 computations (54.4% saved)

end0.0ms (0%)

Profiling

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