Logistic function

Time bar (total: 9.3s)

analyze69.0ms (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: 29.0ms
...c/correct-round.rkt:119:19: 7.0ms (24.4% of total)
ival-div: 6.0ms (20.9% of total)
ival-<=: 5.0ms (17.4% of total)
ival-exp: 4.0ms (13.9% of total)
ival-add: 3.0ms (10.4% of total)
ival-neg: 2.0ms (7% of total)
ival-and: 1.0ms (3.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (11.1%)

Results
807.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 550.0ms
...c/correct-round.rkt:119:19: 148.0ms (26.9% of total)
ival-div: 134.0ms (24.4% of total)
ival-<=: 84.0ms (15.3% of total)
ival-exp: 63.0ms (11.5% of total)
ival-neg: 50.0ms (9.1% of total)
ival-add: 48.0ms (8.7% of total)
ival-and: 11.0ms (2% of total)
const: 10.0ms (1.8% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess47.0ms (0.5%)

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)))))

explain93.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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)))
01(0.15888914465904236 0.0009517485741525888)0-(exp.f32 (/.f32 (neg.f32 x) s))
00-0-#s(literal 1 binary32)
00-0-s
Results
61.0ms512×0valid
Compiler

Compiled 77 to 26 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 26.0ms (70.2% of total)
ival-exp: 4.0ms (10.8% of total)
ival-neg: 4.0ms (10.8% of total)
ival-add: 3.0ms (8.1% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

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

Compiled 11 to 8 computations (27.3% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize32.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.9%
(exp.f32 (/.f32 (neg.f32 x) s))
Results
19.0ms256×0valid
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 (46.2% of total)
ival-exp: 2.0ms (23.1% of total)
ival-add: 1.0ms (11.6% of total)
ival-neg: 1.0ms (11.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

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

21 calls:

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

rewrite286.0ms (3.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
14422
226522
3223322
0862822
Stop Event
1×iter limit
1×node limit
Counts
4 → 358
Calls
Call 1
Inputs
(neg x)
(/ 1 (+ 1 (exp (/ (neg x) s))))
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
Outputs
(neg.f32 x)
(neg.f32 (log.f32 (exp.f32 x)))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(pow.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x))) #s(literal -1 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) x)
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 x)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(-.f32 (/.f32 #s(literal 0 binary32) x) x)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x)))))
(/.f32 (*.f32 x (*.f32 x x)) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 x x))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)))) x)
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 x))
(*.f32 x #s(literal -1 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) x))
(log.f32 (exp.f32 (neg.f32 x)))
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(+.f32 (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
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(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
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(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(*.f32 (pow.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)))) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (pow.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 9 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(*.f32 (pow.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(*.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (exp.f32 (neg.f32 (log1p.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))))))
(*.f32 (exp.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))) (exp.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) (neg.f32 x)))
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(pow.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 (neg.f32 x) s))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal -1 binary32)) x)
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (-.f32 #s(literal 0 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) x))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 0 binary32) (*.f32 x x))) (exp.f32 (/.f32 x s)))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 0 binary32) x)) (exp.f32 (/.f32 x s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (/.f32 (neg.f32 x) s)))

simplify175.0ms (1.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0140619
1405573
21414570
35777570
08547570
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
Outputs
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))

eval37.0ms (0.4%)

Compiler

Compiled 10140 to 1266 computations (87.5% saved)

prune56.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4339442
Fresh000
Picked011
Done000
Total43310443
Accuracy
100.0%
Counts
443 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
▶39.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
▶54.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
52.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
50.5%
(/.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)))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
29.8%
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
▶35.7%
#s(literal 1/2 binary32)
Compiler

Compiled 273 to 198 computations (27.5% saved)

simplify143.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff-32
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
✓cost-diff-32
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(E.f32)
✓cost-diff128
(-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x)
✓cost-diff128
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)
✓cost-diff128
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓cost-diff0
(exp.f32 #s(literal -1 binary32))
✓cost-diff0
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
Rules
2376×*-lowering-*.f32
2376×*-lowering-*.f64
1872×fnmsub-define
1566×fma-define
1184×sum5-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032241
162219
2105205
3193199
4362195
5642195
61515195
76293195
08222195
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (exp -1) (/ x s))))
1
(+ 1 (pow (exp -1) (/ x s)))
(pow (exp -1) (/ x s))
(exp -1)
-1
(/ x s)
x
s
1/2
(/ 1 (- 2 (/ x s)))
1
(- 2 (/ x s))
2
(/ x s)
x
s
(/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)))
1
(+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s))
2
(/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)
(- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x)
(/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s)
(+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2)))
(/ (* x (* x (* x -1/6))) s)
(* x (* x (* x -1/6)))
x
(* x (* x -1/6))
(* x -1/6)
-1/6
s
(* x (* x 1/2))
(* x 1/2)
1/2
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
1
(+ 1 (pow (E) (/ (neg x) s)))
(pow (E) (/ (neg x) s))
(E)
(/ (neg x) s)
(neg x)
x
s
Outputs
(/ 1 (+ 1 (pow (exp -1) (/ x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
1
#s(literal 1 binary32)
(+ 1 (pow (exp -1) (/ x s)))
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow (exp -1) (/ x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp -1)
(exp.f32 #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(/ x s)
(/.f32 x s)
x
s
1/2
#s(literal 1/2 binary32)
(/ 1 (- 2 (/ x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(- 2 (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(/ x s)
(/.f32 x s)
x
s
(/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))) s)))
1
#s(literal 1 binary32)
(+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))) s))
2
#s(literal 2 binary32)
(/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)
(/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))) s)
(- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x)
(*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))
(/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s)
(*.f32 x (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))
(+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2)))
(*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))
(/ (* x (* x (* x -1/6))) s)
(*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))
(* x (* x (* x -1/6)))
(*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))
x
(* 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)
s
(* x (* x 1/2))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1
#s(literal 1 binary32)
(+ 1 (pow (E) (/ (neg x) s)))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(pow (E) (/ (neg x) s))
(pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(E)
(E.f32)
(/ (neg x) s)
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(neg x)
(neg.f32 x)
x
s

localize204.0ms (2.2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓accuracy99.6%
(E.f32)
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
✓accuracy94.0%
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
✓accuracy89.9%
(/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)
✓accuracy86.7%
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy97.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy100.0%
(exp.f32 #s(literal -1 binary32))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
✓accuracy100.0%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
Results
155.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 248 to 33 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-pow: 45.0ms (46.5% of total)
ival-div: 19.0ms (19.6% of total)
ival-mult: 11.0ms (11.4% of total)
ival-add: 6.0ms (6.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (4.1% of total)
ival-exp: 3.0ms (3.1% of total)
ival-e: 2.0ms (2.1% of total)
ival-sub: 2.0ms (2.1% of total)
ival-neg: 2.0ms (2.1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.4%)

Counts
19 → 396
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (pow (exp -1) (/ x s))))>
#<alt (+ 1 (pow (exp -1) (/ x s)))>
#<alt (pow (exp -1) (/ x s))>
#<alt (exp -1)>
#<alt (/ 1 (- 2 (/ x s)))>
#<alt (- 2 (/ x s))>
#<alt (/ x s)>
#<alt (/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)))>
#<alt (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s))>
#<alt (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)>
#<alt (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x)>
#<alt (E)>
#<alt (neg x)>
#<alt (/ 1 (+ 1 (pow (E) (/ (neg x) s))))>
#<alt (+ 1 (pow (E) (/ (neg x) s)))>
#<alt (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2)))>
#<alt (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s)>
#<alt (/ (* x (* x (* x -1/6))) s)>
#<alt (pow (E) (/ (neg x) s))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (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 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))>
#<alt (* -1 (/ s x))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (/ x s))>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 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 (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) 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)))>
Calls

99 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
2.0ms
x
@0
(/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)
2.0ms
s
@0
(/ (* x (* x (* x -1/6))) s)
1.0ms
s
@-inf
(- 2 (/ x s))
1.0ms
s
@inf
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))

rewrite370.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4312×*-lowering-*.f32
4312×*-lowering-*.f64
2444×/-lowering-/.f32
2444×/-lowering-/.f64
2334×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032193
1214161
21863161
09081161
Stop Event
1×iter limit
1×node limit
Counts
19 → 696
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (exp -1) (/ x s))))
(+ 1 (pow (exp -1) (/ x s)))
(pow (exp -1) (/ x s))
(exp -1)
(/ 1 (- 2 (/ x s)))
(- 2 (/ x s))
(/ x s)
(/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)))
(+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s))
(/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x) s)
(- (/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s) x)
(E)
(neg x)
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
(+ 1 (pow (E) (/ (neg x) s)))
(+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2)))
(/ (+ (/ (* x (* x (* x -1/6))) s) (* x (* x 1/2))) s)
(/ (* x (* x (* x -1/6))) s)
(pow (E) (/ (neg x) s))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) #s(literal 3 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) #s(literal 3 binary32)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) #s(literal 3 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) (/.f32 (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) #s(literal 3 binary32))))) (+.f32 (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32)))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) #s(literal 3 binary32)))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))))
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(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 s x) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 s x) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 s x) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 s x) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s x) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(/.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (neg.f32 s))
(/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) (neg.f32 (neg.f32 s)))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x s)))
(*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))
(*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x s))
(*.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) x)
(exp.f32 (-.f32 #s(literal 0 binary32) (/.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 x (*.f32 #s(literal 2 binary32) s)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(exp.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(exp.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (E.f32) (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(exp.f32 (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s))) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(exp.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s))) (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 x (*.f32 #s(literal 2 binary32) s)) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 x (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)))
(pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (E.f32) (*.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) #s(literal 2 binary32)))
(pow.f32 (E.f32) (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)))
(pow.f32 (E.f32) (+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (E.f32) (+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))
(pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (E.f32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (E.f32) x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (E.f32) x) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (neg.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) s) #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 #s(literal 0 binary32) (/.f32 x s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (pow.f32 (pow.f32 (E.f32) (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 x) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) (neg.f32 s))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 (pow.f32 (E.f32) (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (pow.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(*.f32 (pow.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32)))) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 2 binary32)))

simplify263.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3440×*-lowering-*.f32
3440×*-lowering-*.f64
1838×sum3-define
1716×+-lowering-+.f64
1716×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06044109
120403654
269193646
083883646
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
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)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)
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2
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(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
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1/2
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(+ 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)))))
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(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
1/2
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(- (+ 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
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(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
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(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
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(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
2
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(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
2
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(* 1/2 (pow x 2))
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(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
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(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
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(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
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(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
1
(+ 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)))
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)))))
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#s(literal 1/2 binary32)
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(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))) s))
(+ 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))))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))) s))
(+ 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))))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))) s) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) 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)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s))

eval112.0ms (1.2%)

Compiler

Compiled 28687 to 3198 computations (88.9% saved)

prune184.0ms (2%)

Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New1111231134
Fresh134
Picked145
Done011
Total1113311144
Accuracy
100.0%
Counts
1144 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
15.0%
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
30.9%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
30.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
17.3%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32)) (/.f32 s (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))))))
53.0%
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32))))
55.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))
52.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
✓39.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
39.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
39.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
53.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) s)))
22.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) s)) s)))
48.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
▶53.9%
(/.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))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s) x) s)))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
✓54.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
54.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
▶52.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
56.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
39.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) (neg.f32 x))) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) s))))
37.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))) s)))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
30.3%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 x (*.f32 x x)))))
▶31.6%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
29.8%
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
▶16.4%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓35.7%
#s(literal 1/2 binary32)
Compiler

Compiled 1406 to 817 computations (41.9% saved)

simplify180.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f32 (/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s) x)
✓cost-diff128
(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s) x) s)
✓cost-diff128
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s) x) s))
✓cost-diff128
(/.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))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s) x) s)))
✓cost-diff0
(*.f32 x x)
✓cost-diff192
(*.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)))))
✓cost-diff192
(*.f32 x (*.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))))))
✓cost-diff192
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
✓cost-diff0
(-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x)
✓cost-diff0
(/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)
✓cost-diff0
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
✓cost-diff0
(/.f32 s x)
✓cost-diff32
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓cost-diff0
(*.f32 (E.f32) (E.f32))
✓cost-diff0
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
Rules
2896×*-lowering-*.f32
2896×*-lowering-*.f64
1692×/-lowering-/.f32
1692×/-lowering-/.f64
1644×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
045354
1115343
2267332
3624318
41418306
53340302
66250302
08130302
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (* (E) (E)) (/ (/ x s) -2))))
1
(+ 1 (pow (* (E) (E)) (/ (/ x s) -2)))
(pow (* (E) (E)) (/ (/ x s) -2))
(* (E) (E))
(E)
(/ (/ x s) -2)
(/ x s)
x
s
-2
(- 0 (/ s x))
0
(/ s x)
s
x
(/ 1 (+ 2 (/ (- (* x (/ (* x 1/2) s)) x) s)))
1
(+ 2 (/ (- (* x (/ (* x 1/2) s)) x) s))
2
(/ (- (* x (/ (* x 1/2) s)) x) s)
(- (* x (/ (* x 1/2) s)) x)
(* x (/ (* x 1/2) s))
x
(/ (* x 1/2) s)
(* x 1/2)
1/2
s
(/ 1 (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))))
1
(* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))))
x
(* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
(* x x)
(+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))
(/ 1/2 (* x (* s s)))
1/2
(* x (* s s))
(* s s)
s
(/ -1/6 (* s (* s s)))
-1/6
(* s (* s s))
(/ 1 (+ 2 (/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s)))
1
(+ 2 (/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s))
2
(/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s)
(- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x)
(/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s)
(/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s)
(+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x))))
(* x (* (* x x) -1/6))
x
(* (* x x) -1/6)
(* x x)
-1/6
(* 1/2 (* s (* x x)))
1/2
(* s (* x x))
s
Outputs
(/ 1 (+ 1 (pow (* (E) (E)) (/ (/ x s) -2))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (pow (* (E) (E)) (/ (/ x s) -2)))
(+.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))
(pow (* (E) (E)) (/ (/ x s) -2))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))
(* (E) (E))
(*.f32 (E.f32) (E.f32))
(E)
(E.f32)
(/ (/ x s) -2)
(/.f32 (/.f32 x s) #s(literal -2 binary32))
(/ x s)
(/.f32 x s)
x
s
-2
#s(literal -2 binary32)
(- 0 (/ s x))
(/.f32 s (neg.f32 x))
0
#s(literal 0 binary32)
(/ s x)
(/.f32 s x)
s
x
(/ 1 (+ 2 (/ (- (* x (/ (* x 1/2) s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal -1 binary32))) s)))
1
#s(literal 1 binary32)
(+ 2 (/ (- (* x (/ (* x 1/2) s)) x) s))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal -1 binary32))) s))
2
#s(literal 2 binary32)
(/ (- (* x (/ (* x 1/2) s)) x) s)
(/.f32 (*.f32 x (+.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal -1 binary32))) s)
(- (* x (/ (* x 1/2) s)) x)
(*.f32 x (+.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(* x (/ (* x 1/2) s))
(*.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))
x
(/ (* x 1/2) s)
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
s
(/ 1 (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) s)) x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
1
#s(literal 1 binary32)
(* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))))
(*.f32 (/.f32 x s) (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))
x
(* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
(/.f32 (*.f32 (/.f32 x s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)
(* x x)
(*.f32 x x)
(+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(/ 1/2 (* x (* s s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
1/2
#s(literal 1/2 binary32)
(* x (* s s))
(*.f32 x (*.f32 s s))
(* s s)
(*.f32 s s)
s
(/ -1/6 (* s (* s s)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
-1/6
#s(literal -1/6 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
(/ 1 (+ 2 (/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)) #s(literal 1 binary32)))))
1
#s(literal 1 binary32)
(+ 2 (/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)) #s(literal 1 binary32))))
2
#s(literal 2 binary32)
(/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s)
(*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)) #s(literal 1 binary32)))
(- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x)
(*.f32 x (-.f32 (/.f32 (*.f32 x (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)) #s(literal 1 binary32)))
(/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s))
(/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s)
(*.f32 (/.f32 (*.f32 x x) s) (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))))
(+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))))
(* x (* (* x x) -1/6))
(*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))
x
(* (* x x) -1/6)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x x)
(*.f32 x x)
-1/6
#s(literal -1/6 binary32)
(* 1/2 (* s (* x x)))
(*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
1/2
#s(literal 1/2 binary32)
(* s (* x x))
(*.f32 x (*.f32 x s))
s

localize221.0ms (2.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy94.5%
(+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x))))
✓accuracy93.7%
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s)
✓accuracy89.9%
(/.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s)
✓accuracy88.3%
(*.f32 s (*.f32 x x))
✓accuracy94.9%
(*.f32 x (*.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))))))
✓accuracy89.0%
(*.f32 x (*.f32 s s))
✓accuracy81.1%
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
✓accuracy73.8%
(*.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)))))
✓accuracy99.9%
(-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x)
✓accuracy99.7%
(/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)
✓accuracy99.6%
(*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))
✓accuracy98.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
✓accuracy100.0%
(/.f32 s x)
✓accuracy100.0%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
✓accuracy99.9%
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))
✓accuracy96.9%
(*.f32 (E.f32) (E.f32))
Results
150.0ms256×0valid
Compiler

Compiled 424 to 46 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-div: 29.0ms (34% of total)
ival-mult: 20.0ms (23.5% of total)
ival-pow: 18.0ms (21.1% of total)
ival-add: 6.0ms (7% of total)
...c/correct-round.rkt:119:19: 5.0ms (5.9% of total)
ival-sub: 4.0ms (4.7% of total)
ival-e: 2.0ms (2.3% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.5%)

Counts
25 → 564
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (pow (* (E) (E)) (/ (/ x s) -2))))>
#<alt (+ 1 (pow (* (E) (E)) (/ (/ x s) -2)))>
#<alt (pow (* (E) (E)) (/ (/ x s) -2))>
#<alt (* (E) (E))>
#<alt (- 0 (/ s x))>
#<alt (/ s x)>
#<alt (/ 1 (+ 2 (/ (- (* x (/ (* x 1/2) s)) x) s)))>
#<alt (+ 2 (/ (- (* x (/ (* x 1/2) s)) x) s))>
#<alt (/ (- (* x (/ (* x 1/2) s)) x) s)>
#<alt (- (* x (/ (* x 1/2) s)) x)>
#<alt (/ 1 (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))))>
#<alt (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))))>
#<alt (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))>
#<alt (* x x)>
#<alt (/ 1 (+ 2 (/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s)))>
#<alt (+ 2 (/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s))>
#<alt (/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s)>
#<alt (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x)>
#<alt (* x (/ (* x 1/2) s))>
#<alt (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))>
#<alt (* x (* s s))>
#<alt (* s (* x x))>
#<alt (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s)>
#<alt (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s)>
#<alt (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x))))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ (* x (log (pow (E) 2))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2)))))) (* -1/8 (/ (log (pow (E) 2)) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/192 (/ (pow (log (pow (E) 2)) 3) (pow s 3))) (+ (* 1/128 (/ (pow (log (pow (E) 2)) 3) (pow s 3))) (* 1/4 (/ (* (log (pow (E) 2)) (+ (* -1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))))) s)))))) (+ (* -1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2)))))) (* -1/8 (/ (log (pow (E) 2)) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ (* x (log (pow (E) 2))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2)))) (pow s 2)))) (* -1/8 (/ (* x (log (pow (E) 2))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/192 (* (pow x 3) (pow (log (pow (E) 2)) 3))) (+ (* 1/128 (* (pow x 3) (pow (log (pow (E) 2)) 3))) (* 1/4 (* x (* (log (pow (E) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))))))))) (pow s 3)))) (+ (* -1/8 (/ (* x (log (pow (E) 2))) s)) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))) (* 1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ (* x (log (pow (E) 2))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s))) (* 1/8 (* x (log (pow (E) 2))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* x (* (log (pow (E) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2)))))) s)) (+ (* -1/128 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) s)) (* 1/192 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))))) s)) (* 1/8 (* x (log (pow (E) 2))))) s)))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (+ 2 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* 1/8 (/ (* x (pow (log (pow (E) 2)) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* x (+ (* -1/48 (/ (* x (pow (log (pow (E) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (E) 2)) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (+ 2 (+ (* -1/2 (/ (* x (log (pow (E) 2))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -1/2 (/ (* x (log (pow (E) 2))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s)) (* 1/2 (* x (log (pow (E) 2))))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (E) 2)) 2)))) s)) (* 1/2 (* x (log (pow (E) 2))))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (+ 1 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* 1/8 (/ (* x (pow (log (pow (E) 2)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* x (+ (* -1/48 (/ (* x (pow (log (pow (E) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (E) 2)) 2) (pow s 2))))))))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (+ 1 (+ (* -1/2 (/ (* x (log (pow (E) 2))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* x (log (pow (E) 2))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* x (log (pow (E) 2))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s)) (* 1/2 (* x (log (pow (E) 2))))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (E) 2)) 2)))) s)) (* 1/2 (* x (log (pow (E) 2))))) s)))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2/3 (* s x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (- (* 2/9 x) (* -2/3 s)))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (- (* x (+ 2/9 (* 2/27 (/ x s)))) (* -2/3 s)))) (pow x 2))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -54 (/ (pow s 5) (pow x 2))) (* -6 (pow s 3))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -162 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -54 (/ (pow s 5) x)) (* -18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -18 (pow s 4)) (* -1 (/ (+ (* 54 (pow s 5)) (* 162 (/ (pow s 6) x))) x))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<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)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* s (pow x 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))>
#<alt (* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))>
#<alt (* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ s x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ s x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ s x)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))>
#<alt (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))>
#<alt (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))>
#<alt (* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))>
#<alt (* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))>
#<alt (* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))>
#<alt (* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))>
Calls

141 calls:

TimeVariablePointExpression
5.0ms
s
@-inf
(/ (- (* x (/ (* x 1/2) s)) x) s)
5.0ms
s
@-inf
(/ 1 (+ 1 (pow (* (E) (E)) (/ (/ x s) -2))))
3.0ms
x
@-inf
(* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
2.0ms
x
@0
(* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))))
1.0ms
x
@0
(/ 1 (+ 1 (pow (* (E) (E)) (/ (/ x s) -2))))

rewrite368.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3610×*-lowering-*.f32
3610×*-lowering-*.f64
2876×fma-lowering-fma.f32
2876×fma-lowering-fma.f64
1900×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045280
1323263
23114255
08890255
Stop Event
1×iter limit
1×node limit
Counts
25 → 678
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (* (E) (E)) (/ (/ x s) -2))))
(+ 1 (pow (* (E) (E)) (/ (/ x s) -2)))
(pow (* (E) (E)) (/ (/ x s) -2))
(* (E) (E))
(- 0 (/ s x))
(/ s x)
(/ 1 (+ 2 (/ (- (* x (/ (* x 1/2) s)) x) s)))
(+ 2 (/ (- (* x (/ (* x 1/2) s)) x) s))
(/ (- (* x (/ (* x 1/2) s)) x) s)
(- (* x (/ (* x 1/2) s)) x)
(/ 1 (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))))
(* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))))
(* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
(* x x)
(/ 1 (+ 2 (/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s)))
(+ 2 (/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s))
(/ (- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x) s)
(- (/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s) x)
(* x (/ (* x 1/2) s))
(+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))
(* x (* s s))
(* s (* x x))
(/ (/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s) s)
(/ (+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x)))) s)
(+ (* x (* (* x x) -1/6)) (* 1/2 (* s (* x x))))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))))))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))) (expm1.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))) (expm1.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))))
(+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))) (expm1.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (/.f32 x s)))) #s(literal 1 binary32))
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(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s))))) (/.f32 #s(literal 1 binary32) s)) (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x s)))))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) s))
(*.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/8 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (-.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x s))))))
(+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))
(+.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(pow.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (-.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/8 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x s)))) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s)))))) #s(literal -1 binary32))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))
(fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 x x) (*.f32 s #s(literal 1/2 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 x (*.f32 x s)) #s(literal 1/2 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x x) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 x s) (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x s)) x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x s))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s)))) (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (-.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/8 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x s)))) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s)))))))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/8 binary32)))) (+.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (-.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/8 binary32)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s)))) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s))))) (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x s)))))
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/8 binary32))))) (neg.f32 (+.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (-.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s)))))) (neg.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x s))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s)))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32))) (-.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))
(*.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (-.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))
(*.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x s))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x s))))))

simplify309.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
5520×*-lowering-*.f32
5520×*-lowering-*.f64
2584×+-lowering-+.f64
2584×+-lowering-+.f32
1722×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07176711
123535714
086495714
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/8 (/ (* x (log (pow (E) 2))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2)))))) (* -1/8 (/ (log (pow (E) 2)) s)))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/192 (/ (pow (log (pow (E) 2)) 3) (pow s 3))) (+ (* 1/128 (/ (pow (log (pow (E) 2)) 3) (pow s 3))) (* 1/4 (/ (* (log (pow (E) 2)) (+ (* -1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))))) s)))))) (+ (* -1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2)))))) (* -1/8 (/ (log (pow (E) 2)) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
1/2
(+ 1/2 (* 1/8 (/ (* x (log (pow (E) 2))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2)))) (pow s 2)))) (* -1/8 (/ (* x (log (pow (E) 2))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/192 (* (pow x 3) (pow (log (pow (E) 2)) 3))) (+ (* 1/128 (* (pow x 3) (pow (log (pow (E) 2)) 3))) (* 1/4 (* x (* (log (pow (E) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))))))))) (pow s 3)))) (+ (* -1/8 (/ (* x (log (pow (E) 2))) s)) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))) (* 1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* x (log (pow (E) 2))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s))) (* 1/8 (* x (log (pow (E) 2))))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* x (* (log (pow (E) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2)))))) s)) (+ (* -1/128 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) s)) (* 1/192 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))))) s)) (* 1/8 (* x (log (pow (E) 2))))) s)))
2
(+ 2 (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(+ 2 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* 1/8 (/ (* x (pow (log (pow (E) 2)) 2)) (pow s 2))))))
(+ 2 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* x (+ (* -1/48 (/ (* x (pow (log (pow (E) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (E) 2)) 2) (pow s 2))))))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
2
(+ 2 (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(+ 2 (+ (* -1/2 (/ (* x (log (pow (E) 2))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2)))))
(+ 2 (+ (* -1/2 (/ (* x (log (pow (E) 2))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))))))
2
(+ 2 (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(+ 2 (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s)) (* 1/2 (* x (log (pow (E) 2))))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (E) 2)) 2)))) s)) (* 1/2 (* x (log (pow (E) 2))))) s)))
1
(+ 1 (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(+ 1 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* 1/8 (/ (* x (pow (log (pow (E) 2)) 2)) (pow s 2))))))
(+ 1 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* x (+ (* -1/48 (/ (* x (pow (log (pow (E) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (E) 2)) 2) (pow s 2))))))))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))
1
(+ 1 (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(+ 1 (+ (* -1/2 (/ (* x (log (pow (E) 2))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ (* x (log (pow (E) 2))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))))))
1
(+ 1 (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s)) (* 1/2 (* x (log (pow (E) 2))))) s)))
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(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(* 1/2 (/ (pow x 2) s))
(/ 1/2 (* (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)))) x)
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(* (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) x)
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(* -1/6 (pow x 3))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(* 1/2 (* s (pow x 2)))
(* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))
(* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))
(* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))
(* 1/2 (* s (pow x 2)))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/8 (/ (* x (log (pow (E) 2))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/8 binary32) x)) s))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2)))))) (* -1/8 (/ (log (pow (E) 2)) s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/8 binary32) x)) s))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/192 (/ (pow (log (pow (E) 2)) 3) (pow s 3))) (+ (* 1/128 (/ (pow (log (pow (E) 2)) 3) (pow s 3))) (* 1/4 (/ (* (log (pow (E) 2)) (+ (* -1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))))) s)))))) (+ (* -1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (E) 2)) 2) (pow s 2)))))) (* -1/8 (/ (log (pow (E) 2)) s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 (+.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal 0 binary32)) (*.f32 (/.f32 (pow.f32 (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal 3 binary32)) (*.f32 s (*.f32 s s))) #s(literal 1/384 binary32))) (neg.f32 x)) #s(literal 0 binary32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
(/ 1 (+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/8 (/ (* x (log (pow (E) 2))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/8 binary32) x)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2)))) (pow s 2)))) (* -1/8 (/ (* x (log (pow (E) 2))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/8 binary32) x)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/192 (* (pow x 3) (pow (log (pow (E) 2)) 3))) (+ (* 1/128 (* (pow x 3) (pow (log (pow (E) 2)) 3))) (* 1/4 (* x (* (log (pow (E) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))))))))) (pow s 3)))) (+ (* -1/8 (/ (* x (log (pow (E) 2))) s)) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))) (* 1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (*.f32 x #s(literal 0 binary32))) (*.f32 (*.f32 (pow.f32 (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal 3 binary32)) (*.f32 x (*.f32 x x))) #s(literal 1/384 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/8 binary32) x)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/8 (/ (* x (log (pow (E) 2))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/8 binary32) x)) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) s))) (* 1/8 (* x (log (pow (E) 2))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/8 binary32) x)) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* x (* (log (pow (E) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2)))))) s)) (+ (* -1/128 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) s)) (* 1/192 (/ (* (pow x 3) (pow (log (pow (E) 2)) 3)) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (E) 2)) 2))))) s)) (* 1/8 (* x (log (pow (E) 2))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal 3 binary32)) (*.f32 x (*.f32 x x))) #s(literal -1/384 binary32)) s) (+.f32 (*.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (*.f32 x #s(literal 0 binary32))) #s(literal -1/4 binary32)) #s(literal 0 binary32))) (neg.f32 s)) (*.f32 (*.f32 #s(literal -1/8 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32))))) s))
2
#s(literal 2 binary32)
(+ 2 (* -1/2 (/ (* x (log (pow (E) 2))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s))
(+ 2 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* 1/8 (/ (* x (pow (log (pow (E) 2)) 2)) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal -1/2 binary32)) s) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x (pow.f32 (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal 2 binary32)))) (*.f32 s s)))))
(+ 2 (* x (+ (* -1/2 (/ (log (pow (E) 2)) s)) (* x (+ (* -1/48 (/ (* x (pow (log (pow (E) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (E) 2)) 2) (pow s 2))))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal -1/2 binary32)) s) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/48 binary32) x) (pow.f32 (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal 3 binary32))) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal 2 binary32))) (*.f32 s s)))))))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
(+ 1 (exp (* -1/2 (/ (* x (log (pow (E) 2))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 (E.f32) (E.f32)))) s)))
2
#s(literal 2 binary32)
(+ 2 (* -1/2 (/ (* x (log (pow (E) 2))) s)))
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(+ 2 (+ (* -1/2 (/ (* x (log (pow (E) 2))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (pow (E) 2)) 2)) (pow s 2)))))
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(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* s (pow x 2))
(*.f32 x (*.f32 x s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 x (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
(* 1/2 (pow x 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) s)
(* 1/2 (pow x 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(* 1/2 (pow x 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(* 1/2 (* s (pow x 2)))
(*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s))))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s))))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s))))
(* -1/6 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 s x)))))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 s x)))))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 s x)))))
(* -1/6 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(*.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s #s(literal -1/2 binary32)) x)) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(*.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s #s(literal -1/2 binary32)) x)) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(*.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s #s(literal -1/2 binary32)) x)) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(* -1/6 (pow x 3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s))))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s))))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s))))
(* 1/2 (* s (pow x 2)))
(*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))
(*.f32 s (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))
(* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))
(*.f32 s (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))
(* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))
(*.f32 s (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))
(* 1/2 (* s (pow x 2)))
(*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(*.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(*.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(*.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))

eval133.0ms (1.4%)

Compiler

Compiled 34049 to 3625 computations (89.4% saved)

prune155.0ms (1.7%)

Pruning

41 alts after pruning (35 fresh and 6 done)

PrunedKeptTotal
New1249251274
Fresh111021
Picked325
Done145
Total1264411305
Accuracy
100.0%
Counts
1305 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
31.0%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))))
4.9%
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x (+.f32 (*.f32 x (+.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s))) (*.f32 s #s(literal 2/3 binary32))))) (*.f32 x x))
▶30.9%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
▶16.4%
(/.f32 (neg.f32 s) x)
30.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
11.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))))
31.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
32.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
31.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s))))
30.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
53.0%
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32))))
55.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))
✓39.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
22.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) s)) s)))
33.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) x)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) s)))
50.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
54.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
33.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) (/.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x))) s)))
52.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) (neg.f32 s)) x) s)))
51.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s s)) x) s)))
✓52.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
▶55.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)))
54.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
▶37.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))) s)))
49.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (/.f32 (/.f32 x s) #s(literal -4 binary32))))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.7%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
19.0%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) #s(literal -1/6 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))
18.5%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))))))
32.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
17.3%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
29.8%
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
16.4%
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
34.4%
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
✓35.7%
#s(literal 1/2 binary32)
Compiler

Compiled 1673 to 1014 computations (39.4% saved)

simplify179.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))))
✓cost-diff0
(/.f32 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))) s)
✓cost-diff0
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))) s)))
✓cost-diff0
(-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x)
✓cost-diff0
(/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)
✓cost-diff0
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)))
✓cost-diff0
(*.f32 s s)
✓cost-diff0
(*.f32 s (*.f32 s s))
✓cost-diff0
(*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32))
✓cost-diff0
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
✓cost-diff-32
(/.f32 (neg.f32 s) x)
✓cost-diff0
(neg.f32 s)
✓cost-diff192
(pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32))))
✓cost-diff3808
(*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))))
✓cost-diff3808
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32))))))
✓cost-diff3808
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))))))
Rules
2536×*-lowering-*.f32
2536×*-lowering-*.f64
2068×fma-lowering-fma.f32
2068×fma-lowering-fma.f64
1972×fnmadd-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045333
1107325
2266314
3778308
41889303
54557303
08265303
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))))
1
(+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4)))))
(* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))
(pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4)))
(E)
(+ (/ (/ x s) -4) (/ (/ x s) -4))
(/ (/ x s) -4)
(/ x s)
x
s
-4
(/ (neg s) x)
(neg s)
s
x
(/ (* (* s (* s s)) -6) (* x (* x x)))
(* (* s (* s s)) -6)
(* s (* s s))
s
(* s s)
-6
(* x (* x x))
x
(* x x)
(/ 1 (+ 2 (/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s)))
1
(+ 2 (/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s))
2
(/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s)
(- (* x (* (/ (/ (* x x) s) s) -1/6)) x)
(* x (* (/ (/ (* x x) s) s) -1/6))
x
(* (/ (/ (* x x) s) s) -1/6)
(/ (/ (* x x) s) s)
(/ (* x x) s)
(* x x)
s
-1/6
(/ 1 (+ 2 (/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s)))
1
(+ 2 (/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s))
2
(/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s)
(* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s)))))
x
(* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))
(* x x)
(- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s)))
(/ (+ (/ 1/2 s) (/ -1 x)) x)
(+ (/ 1/2 s) (/ -1 x))
(/ 1/2 s)
1/2
s
(/ -1 x)
-1
(/ 1/6 (* s s))
1/6
(* s s)
Outputs
(/ 1 (+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))))
(/.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 s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4)))))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))
(pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4)))
(pow.f32 (E.f32) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))
(E)
(E.f32)
(+ (/ (/ x s) -4) (/ (/ x s) -4))
(*.f32 x (/.f32 #s(literal -1/2 binary32) s))
(/ (/ x s) -4)
(/.f32 x (*.f32 s #s(literal -4 binary32)))
(/ x s)
(/.f32 x s)
x
s
-4
#s(literal -4 binary32)
(/ (neg s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(neg s)
(neg.f32 s)
s
x
(/ (* (* s (* s s)) -6) (* x (* x x)))
(/.f32 (/.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s #s(literal -6 binary32))) x)) x) x)
(* (* s (* s s)) -6)
(*.f32 s (*.f32 s (*.f32 s #s(literal -6 binary32))))
(* s (* s s))
(*.f32 s (*.f32 s s))
s
(* s s)
(*.f32 s s)
-6
#s(literal -6 binary32)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
(/ 1 (+ 2 (/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))) #s(literal -1 binary32)))))
1
#s(literal 1 binary32)
(+ 2 (/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))) #s(literal -1 binary32))))
2
#s(literal 2 binary32)
(/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s)
(*.f32 (/.f32 x s) (+.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))) #s(literal -1 binary32)))
(- (* x (* (/ (/ (* x x) s) s) -1/6)) x)
(*.f32 x (+.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))) #s(literal -1 binary32)))
(* x (* (/ (/ (* x x) s) s) -1/6))
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))))
x
(* (/ (/ (* x x) s) s) -1/6)
(*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s))))
(/ (/ (* x x) s) s)
(/.f32 (/.f32 (*.f32 x x) s) s)
(/ (* x x) s)
(/.f32 (*.f32 x x) s)
(* x x)
(*.f32 x x)
s
-1/6
#s(literal -1/6 binary32)
(/ 1 (+ 2 (/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 x x) s) (+.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))))))
1
#s(literal 1 binary32)
(+ 2 (/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 x x) s) (+.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s))))))
2
#s(literal 2 binary32)
(/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s)
(*.f32 (/.f32 (*.f32 x x) s) (+.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))))
(* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s)))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))))
x
(* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))
(*.f32 x (+.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))))
(* x x)
(*.f32 x x)
(- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))
(/ (+ (/ 1/2 s) (/ -1 x)) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)
(+ (/ 1/2 s) (/ -1 x))
(+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
1/2
#s(literal 1/2 binary32)
s
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
-1
#s(literal -1 binary32)
(/ 1/6 (* s s))
(/.f32 #s(literal 1/6 binary32) (*.f32 s s))
1/6
#s(literal 1/6 binary32)
(* s s)
(*.f32 s s)

localize253.0ms (2.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))) s)))
✓accuracy98.4%
(*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))))
✓accuracy93.3%
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))
✓accuracy68.1%
(*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))
✓accuracy98.5%
(*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32)))
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)))
✓accuracy96.9%
(/.f32 (/.f32 (*.f32 x x) s) s)
✓accuracy88.4%
(/.f32 (*.f32 x x) s)
✓accuracy99.7%
(*.f32 x (*.f32 x x))
✓accuracy99.7%
(*.f32 s (*.f32 s s))
✓accuracy99.5%
(*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32))
✓accuracy79.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
✓accuracy100.0%
(/.f32 (neg.f32 s) x)
✓accuracy100.0%
(neg.f32 s)
✓accuracy100.0%
(pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))))))
✓accuracy99.9%
(*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))))
✓accuracy99.7%
(/.f32 (/.f32 x s) #s(literal -4 binary32))
Results
136.0ms256×0valid
Compiler

Compiled 448 to 46 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 27.0ms (35.9% of total)
ival-mult: 15.0ms (20% of total)
ival-pow: 11.0ms (14.6% of total)
...c/correct-round.rkt:119:19: 8.0ms (10.6% of total)
ival-add: 7.0ms (9.3% of total)
ival-e: 2.0ms (2.7% of total)
ival-sub: 2.0ms (2.7% of total)
const: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.4%)

Counts
25 → 540
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))))>
#<alt (+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4)))))>
#<alt (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))>
#<alt (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4)))>
#<alt (neg s)>
#<alt (/ (neg s) x)>
#<alt (/ (* (* s (* s s)) -6) (* x (* x x)))>
#<alt (* (* s (* s s)) -6)>
#<alt (* s (* s s))>
#<alt (* s s)>
#<alt (/ 1 (+ 2 (/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s)))>
#<alt (+ 2 (/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s))>
#<alt (/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s)>
#<alt (- (* x (* (/ (/ (* x x) s) s) -1/6)) x)>
#<alt (/ 1 (+ 2 (/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s)))>
#<alt (+ 2 (/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s))>
#<alt (/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s)>
#<alt (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s)))))>
#<alt (/ (/ x s) -4)>
#<alt (* x (* x x))>
#<alt (/ (* x x) s)>
#<alt (/ (/ (* x x) s) s)>
#<alt (* x (* (/ (/ (* x x) s) s) -1/6))>
#<alt (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))>
#<alt (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/4 (+ (* -1/8 (/ (pow (log (E)) 3) (pow s 3))) (* -1/24 (/ (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 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) 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))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/4 (+ (* -1/8 (* (pow x 3) (pow (log (E)) 3))) (* -1/24 (* (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)) (* 1/4 (/ (+ (* 1/24 (* (pow x 3) (pow (log (E)) 3))) (* 1/8 (* (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 (+ (* 1/2 (/ (pow (log (E)) 2) (pow s 2))) (* x (+ (* -1/8 (/ (pow (log (E)) 3) (pow s 3))) (* -1/24 (/ (pow (log (E)) 3) (pow s 3))))))))))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))>
#<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)) (+ (* -1/8 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (+ (* -1/24 (/ (* (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 (/ (+ (* 1/24 (* (pow x 3) (pow (log (E)) 3))) (* 1/8 (* (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 (+ (* 1/2 (/ (pow (log (E)) 2) (pow s 2))) (* x (+ (* -1/8 (/ (pow (log (E)) 3) (pow s 3))) (* -1/24 (/ (pow (log (E)) 3) (pow s 3))))))))))>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<alt (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)>
#<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)) (+ (* -1/8 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (+ (* -1/24 (/ (* (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 (/ (+ (* 1/24 (* (pow x 3) (pow (log (E)) 3))) (* 1/8 (* (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 (* -1/2 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1/2 (/ (log (E)) s)) (* 1/8 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1/2 (/ (log (E)) s)) (* x (+ (* -1/48 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1/2 (/ (* x (log (E))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* x (log (E))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/2 (* x (log (E))))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) s)) (* 1/2 (* x (log (E))))) s)))>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* x (+ (* 5/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -6 (pow s 3)) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (* -36 (/ (pow s 5) (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ (* -216 (/ (pow s 7) (pow x 4))) (* -6 (pow s 3))) (+ (* -36 (/ (pow s 5) (pow x 2))) (* 72 (/ (pow s 6) (pow x 3))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* -36 (/ (pow s 5) (pow x 2))) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -216 (/ (pow s 7) x)) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* 36 (/ (pow s 2) (pow x 5))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 2) (+ (* -72 (/ s (pow x 6))) (* 36 (/ 1 (pow x 5))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 2) (+ (* s (- (* -216 (/ s (pow x 7))) (* 72 (/ 1 (pow x 6))))) (* 36 (/ 1 (pow x 5))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/16 (pow x 3)) (* -1/24 (pow x 3))) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/24 (/ (pow x 3) s)) (* 1/16 (/ (pow x 3) s))) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 3)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (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 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (- (* 2 s) x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (- (* 2 s) x))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* -1/6 (/ (pow x 3) (pow s 2)))) s)>
#<alt (/ (+ (* -1 x) (* -1/6 (/ (pow x 3) (pow s 2)))) s)>
#<alt (/ (+ (* -1 x) (* -1/6 (/ (pow x 3) (pow s 2)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 2))) 1))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 2))) 1))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 2))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 2))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 2))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (* -1 x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))>
#<alt (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))>
#<alt (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))>
#<alt (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)))>
#<alt (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1)>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1)>
#<alt (* -1/6 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 2))>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)>
#<alt (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1)>
#<alt (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1)>
#<alt (/ -1/6 (pow s 2))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 2))>
#<alt (/ (- (* s (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x)))) 1/6) (pow s 2))>
#<alt (/ (- (* s (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x)))) 1/6) (pow s 2))>
#<alt (/ -1 (pow x 2))>
#<alt (- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2)))>
#<alt (- (/ 1/2 (* s x)) (+ (/ 1/6 (pow s 2)) (/ 1 (pow x 2))))>
#<alt (- (/ 1/2 (* s x)) (+ (/ 1/6 (pow s 2)) (/ 1 (pow x 2))))>
#<alt (/ -1 (pow x 2))>
#<alt (- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2)))>
#<alt (- (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))) s)) (/ 1 (pow x 2)))>
#<alt (- (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))) s)) (/ 1 (pow x 2)))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* 1/2 (/ x s)) 1) (pow x 2))>
#<alt (/ (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1) (pow x 2))>
#<alt (/ (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1) (pow x 2))>
#<alt (/ -1/6 (pow s 2))>
#<alt (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))>
#<alt (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))))>
#<alt (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))))>
#<alt (/ -1/6 (pow s 2))>
#<alt (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))>
#<alt (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))>
#<alt (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))>
Calls

135 calls:

TimeVariablePointExpression
2.0ms
s
@inf
(/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s)
1.0ms
x
@inf
(/ 1 (+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))))
1.0ms
s
@inf
(/ 1 (+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))))
1.0ms
x
@-inf
(/ 1 (+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))))
1.0ms
x
@0
(/ 1 (+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))))

rewrite180.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1872×*-lowering-*.f32
1872×*-lowering-*.f64
1730×/-lowering-/.f32
1730×/-lowering-/.f64
514×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045262
1319231
03279231
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
25 → 459
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))))
(+ 1 (* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4)))))
(* (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))) (pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4))))
(pow (E) (+ (/ (/ x s) -4) (/ (/ x s) -4)))
(neg s)
(/ (neg s) x)
(/ (* (* s (* s s)) -6) (* x (* x x)))
(* (* s (* s s)) -6)
(* s (* s s))
(* s s)
(/ 1 (+ 2 (/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s)))
(+ 2 (/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s))
(/ (- (* x (* (/ (/ (* x x) s) s) -1/6)) x) s)
(- (* x (* (/ (/ (* x x) s) s) -1/6)) x)
(/ 1 (+ 2 (/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s)))
(+ 2 (/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s))
(/ (* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))) s)
(* x (* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s)))))
(/ (/ x s) -4)
(* x (* x x))
(/ (* x x) s)
(/ (/ (* x x) s) s)
(* x (* (/ (/ (* x x) s) s) -1/6))
(* (* x x) (- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s))))
(- (/ (+ (/ 1/2 s) (/ -1 x)) x) (/ 1/6 (* s s)))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(+.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))) (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 (-.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 x #s(literal 1/6 binary32))) (*.f32 x (*.f32 s s)))
(/.f32 (-.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))))) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s s) (*.f32 s s))))) (+.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)))) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))))
(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) #s(literal 1/6 binary32))) (*.f32 (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32))) (*.f32 (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 s s) #s(literal 1/6 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 s s))) (*.f32 (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) #s(literal -1/6 binary32))) (*.f32 (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) #s(literal 1/6 binary32))) (*.f32 (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 s s)))
(/.f32 (-.f32 s (*.f32 (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/6 binary32) s))) (*.f32 (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) s))
(/.f32 (-.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) (/.f32 (*.f32 s s) #s(literal 1/6 binary32))) (*.f32 x #s(literal 1 binary32))) (*.f32 x (/.f32 (*.f32 s s) #s(literal 1/6 binary32))))
(/.f32 (-.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) (-.f32 #s(literal 0 binary32) (*.f32 s s))) (*.f32 x #s(literal -1/6 binary32))) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(/.f32 (-.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) s) (*.f32 x (/.f32 #s(literal 1/6 binary32) s))) (*.f32 x s))
(/.f32 (-.f32 (*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 s s) #s(literal 1/6 binary32))) (*.f32 (neg.f32 x) #s(literal 1 binary32))) (*.f32 (neg.f32 x) (/.f32 (*.f32 s s) #s(literal 1/6 binary32))))
(/.f32 (-.f32 (*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (-.f32 #s(literal 0 binary32) (*.f32 s s))) (*.f32 (neg.f32 x) #s(literal -1/6 binary32))) (*.f32 (neg.f32 x) (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(/.f32 (-.f32 (*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 s s)) (*.f32 (neg.f32 x) #s(literal 1/6 binary32))) (*.f32 (neg.f32 x) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) s) (*.f32 (neg.f32 x) (/.f32 #s(literal 1/6 binary32) s))) (*.f32 (neg.f32 x) s))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 x #s(literal 1/6 binary32)))) (neg.f32 (*.f32 x (*.f32 s s))))
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))))) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))))) (neg.f32 (+.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)))) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s s) (*.f32 s s))))) (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))))
(/.f32 (+.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))))) (pow.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal 3 binary32))) (+.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)))) (-.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))))
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(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 x #s(literal 1/6 binary32))) x) (*.f32 s s))
(*.f32 (-.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 x #s(literal 1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 s s))))
(*.f32 (-.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))))) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s s) (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)))) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))))))
(*.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))))

simplify386.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
4160×*-lowering-*.f32
4160×*-lowering-*.f64
2380×+-lowering-+.f64
2380×+-lowering-+.f32
1542×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06945719
123884877
084854877
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
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 (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/4 (+ (* -1/8 (/ (pow (log (E)) 3) (pow s 3))) (* -1/24 (/ (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 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
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 (/ (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/4 (+ (* -1/8 (* (pow x 3) (pow (log (E)) 3))) (* -1/24 (* (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)) (* 1/4 (/ (+ (* 1/24 (* (pow x 3) (pow (log (E)) 3))) (* 1/8 (* (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 (+ (* 1/2 (/ (pow (log (E)) 2) (pow s 2))) (* x (+ (* -1/8 (/ (pow (log (E)) 3) (pow s 3))) (* -1/24 (/ (pow (log (E)) 3) (pow s 3))))))))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
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)) (+ (* -1/8 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (+ (* -1/24 (/ (* (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 (/ (+ (* 1/24 (* (pow x 3) (pow (log (E)) 3))) (* 1/8 (* (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 (+ (* 1/2 (/ (pow (log (E)) 2) (pow s 2))) (* x (+ (* -1/8 (/ (pow (log (E)) 3) (pow s 3))) (* -1/24 (/ (pow (log (E)) 3) (pow s 3))))))))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
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)) (+ (* -1/8 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (+ (* -1/24 (/ (* (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 (/ (+ (* 1/24 (* (pow x 3) (pow (log (E)) 3))) (* 1/8 (* (pow x 3) (pow (log (E)) 3)))) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
1
(+ 1 (* -1/2 (/ (* x (log (E))) s)))
(+ 1 (* x (+ (* -1/2 (/ (log (E)) s)) (* 1/8 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 1 (* x (+ (* -1/2 (/ (log (E)) s)) (* x (+ (* -1/48 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))))))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
(exp (* -1/2 (/ (* x (log (E))) s)))
1
(+ 1 (* -1/2 (/ (* x (log (E))) s)))
(+ 1 (+ (* -1/2 (/ (* x (log (E))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ (* x (log (E))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1
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(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 2) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 2))
-1
(- (* 1/2 (/ x s)) 1)
(- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)
(- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1)
(- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1)
(/ -1/6 (pow s 2))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 2))
(/ (- (* s (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x)))) 1/6) (pow s 2))
(/ (- (* s (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x)))) 1/6) (pow s 2))
(/ -1 (pow x 2))
(- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2)))
(- (/ 1/2 (* s x)) (+ (/ 1/6 (pow s 2)) (/ 1 (pow x 2))))
(- (/ 1/2 (* s x)) (+ (/ 1/6 (pow s 2)) (/ 1 (pow x 2))))
(/ -1 (pow x 2))
(- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2)))
(- (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))) s)) (/ 1 (pow x 2)))
(- (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))) s)) (/ 1 (pow x 2)))
(/ -1 (pow x 2))
(/ (- (* 1/2 (/ x s)) 1) (pow x 2))
(/ (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1) (pow x 2))
(/ (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1) (pow x 2))
(/ -1/6 (pow s 2))
(- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))
(- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))))
(- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))))
(/ -1/6 (pow s 2))
(- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))
(- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))
(- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/4 (+ (* -1/8 (/ (pow (log (E)) 3) (pow s 3))) (* -1/24 (/ (pow (log (E)) 3) (pow s 3))))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s s))) #s(literal 0 binary32))) (neg.f32 x)) #s(literal 0 binary32))) (/.f32 #s(literal 1/4 binary32) s))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/4 (+ (* -1/8 (* (pow x 3) (pow (log (E)) 3))) (* -1/24 (* (pow x 3) (pow (log (E)) 3))))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 (-.f32 #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 1/4 binary32) (/.f32 x s)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/4 (/ (+ (* 1/24 (* (pow x 3) (pow (log (E)) 3))) (* 1/8 (* (pow x 3) (pow (log (E)) 3)))) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 x #s(literal 0 binary32)) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32))) s) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) #s(literal 0 binary32))) (neg.f32 s)) (*.f32 x #s(literal -1/4 binary32))) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s))))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* 1/2 (/ (pow (log (E)) 2) (pow s 2))) (* x (+ (* -1/8 (/ (pow (log (E)) 3) (pow s 3))) (* -1/24 (/ (pow (log (E)) 3) (pow s 3))))))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
(+ 1 (pow (exp (* -1/2 (/ (* x (log (E))) s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s))))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (+ (* -1/24 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))))
(+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) x) s) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (* (pow x 3) (pow (log (E)) 3))) (* 1/8 (* (pow x 3) (pow (log (E)) 3)))) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s))))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* 1/2 (/ (pow (log (E)) 2) (pow s 2))) (* x (+ (* -1/8 (/ (pow (log (E)) 3) (pow s 3))) (* -1/24 (/ (pow (log (E)) 3) (pow s 3))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
(pow (exp (* -1/2 (/ (* x (log (E))) s))) 2)
(exp.f32 (+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s))))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (+ (* -1/24 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) x) s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) 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 (/ (+ (* 1/24 (* (pow x 3) (pow (log (E)) 3))) (* 1/8 (* (pow x 3) (pow (log (E)) 3)))) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))
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(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 x (*.f32 s s)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))
(- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s))))
(- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s))))
(* -1/6 (/ (pow x 2) (pow s 2)))
(*.f32 x (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)))
(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 2) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))
(* (pow x 2) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 2) (pow s 2)))
(*.f32 x (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)))
(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 2) (pow s 2)))
(*.f32 x (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 2))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 2))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 2))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s))) (*.f32 s s))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))
(- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s))))
(- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s))))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))
(- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) s)) (neg.f32 s)))
(- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) s)) (neg.f32 s)))
(/ -1/6 (pow s 2))
(/.f32 #s(literal -1/6 binary32) (*.f32 s s))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 2))
(/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) s) x)) (*.f32 s s))
(/ (- (* s (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x)))) 1/6) (pow s 2))
(/.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 s (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 s (*.f32 x x))))) (*.f32 s s))
(/ (- (* s (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x)))) 1/6) (pow s 2))
(/.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 s (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 s (*.f32 x x))))) (*.f32 s s))
(/ -1 (pow x 2))
(/.f32 #s(literal -1 binary32) (*.f32 x x))
(- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2)))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)
(- (/ 1/2 (* s x)) (+ (/ 1/6 (pow s 2)) (/ 1 (pow x 2))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))
(- (/ 1/2 (* s x)) (+ (/ 1/6 (pow s 2)) (/ 1 (pow x 2))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))
(/ -1 (pow x 2))
(/.f32 #s(literal -1 binary32) (*.f32 x x))
(- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2)))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)
(- (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))) s)) (/ 1 (pow x 2)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 x x)))
(- (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))) s)) (/ 1 (pow x 2)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 x x)))
(/ -1 (pow x 2))
(/.f32 #s(literal -1 binary32) (*.f32 x x))
(/ (- (* 1/2 (/ x s)) 1) (pow x 2))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (*.f32 x x))
(/ (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1) (pow x 2))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) (*.f32 x x))
(/ (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1) (pow x 2))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) (*.f32 x x))
(/ -1/6 (pow s 2))
(/.f32 #s(literal -1/6 binary32) (*.f32 s s))
(- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))
(- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))
(- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)))
(/ -1/6 (pow s 2))
(/.f32 #s(literal -1/6 binary32) (*.f32 s s))
(- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))
(- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))
(- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))

eval115.0ms (1.2%)

Compiler

Compiled 29793 to 2864 computations (90.4% saved)

prune137.0ms (1.5%)

Pruning

40 alts after pruning (32 fresh and 8 done)

PrunedKeptTotal
New119791206
Fresh72330
Picked235
Done156
Total1207401247
Accuracy
100.0%
Counts
1247 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
31.0%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))))
4.9%
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x (+.f32 (*.f32 x (+.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s))) (*.f32 s #s(literal 2/3 binary32))))) (*.f32 x x))
✓30.9%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
✓16.4%
(/.f32 (neg.f32 s) x)
30.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
11.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))))
32.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
31.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s))))
30.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
53.0%
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32))))
55.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))
✓39.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
29.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 x (/.f32 s (/.f32 x (/.f32 s x))))) #s(literal 1/36 binary32)) (*.f32 x x)) (*.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) x)) s)))
33.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) x)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) s)))
41.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 x #s(literal 1/6 binary32)))) (*.f32 x (*.f32 s s))) s)))
54.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
33.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) (/.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x))) s)))
51.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s s)) x) s)))
55.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s)))
51.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
54.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (/.f32 (/.f32 x s) #s(literal -4 binary32))))))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 x (*.f32 s #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.7%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
19.0%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) #s(literal -1/6 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))
18.5%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))))))
32.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
17.3%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
29.8%
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
31.8%
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
31.6%
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
16.4%
(*.f32 s (/.f32 #s(literal -1 binary32) x))
34.4%
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
✓35.7%
#s(literal 1/2 binary32)
Compiler

Compiled 2300 to 928 computations (59.7% saved)

regimes182.0ms (1.9%)

Counts
67 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s s)) x) s)))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x (+.f32 (*.f32 x (+.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s))) (*.f32 s #s(literal 2/3 binary32))))) (*.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 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s 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))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) #s(literal -1/6 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 x #s(literal 1/6 binary32)))) (*.f32 x (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) x)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) (/.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 x (/.f32 s (/.f32 x (/.f32 s x))))) #s(literal 1/36 binary32)) (*.f32 x x)) (*.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) x)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) (neg.f32 x))) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32)) (/.f32 s (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 x (*.f32 s #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 x s) #s(literal -4 binary32)) (/.f32 (/.f32 x s) #s(literal -4 binary32)))))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (E.f32) (/.f32 (/.f32 x s) #s(literal -4 binary32))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
Calls

7 calls:

45.0ms
s
31.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
23.0ms
(/.f32 (neg.f32 x) s)
22.0ms
x
19.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes127.0ms (1.4%)

Counts
59 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s s)) x) s)))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x (+.f32 (*.f32 x (+.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s))) (*.f32 s #s(literal 2/3 binary32))))) (*.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 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s 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))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) #s(literal -1/6 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 x #s(literal 1/6 binary32)))) (*.f32 x (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) x)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) (/.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 x (/.f32 s (/.f32 x (/.f32 s x))))) #s(literal 1/36 binary32)) (*.f32 x x)) (*.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) x)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) (neg.f32 x))) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32)) (/.f32 s (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Calls

7 calls:

18.0ms
x
18.0ms
s
17.0ms
(neg.f32 x)
17.0ms
(/.f32 (neg.f32 x) s)
16.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes150.0ms (1.6%)

Counts
58 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s s)) x) s)))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x (+.f32 (*.f32 x (+.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s))) (*.f32 s #s(literal 2/3 binary32))))) (*.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 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s 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))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) #s(literal -1/6 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 x #s(literal 1/6 binary32)))) (*.f32 x (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) x)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) (/.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 x (/.f32 s (/.f32 x (/.f32 s x))))) #s(literal 1/36 binary32)) (*.f32 x x)) (*.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) x)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) (neg.f32 x))) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32)) (/.f32 s (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

33.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
29.0ms
x
18.0ms
s
17.0ms
(neg.f32 x)
16.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes49.0ms (0.5%)

Counts
57 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s s)) x) s)))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x (+.f32 (*.f32 x (+.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s))) (*.f32 s #s(literal 2/3 binary32))))) (*.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 (*.f32 x (*.f32 (*.f32 x x) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x) (/.f32 #s(literal 1/6 binary32) (*.f32 s 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))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) #s(literal -1/6 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))) (*.f32 x #s(literal 1/6 binary32)))) (*.f32 x (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) x)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s)) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x)) (/.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal 1 binary32)) x))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x (/.f32 s (/.f32 x (/.f32 s x)))) (/.f32 x (/.f32 s (/.f32 x (/.f32 s x))))) #s(literal 1/36 binary32)) (*.f32 x x)) (*.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 x (/.f32 s x)))) #s(literal 1 binary32)) x)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) (neg.f32 x))) (*.f32 (/.f32 s (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (*.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32)) (/.f32 s (-.f32 (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) (*.f32 x #s(literal 1/2 binary32)))) s) x))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
#s(literal 1/2 binary32)
Calls

2 calls:

27.0ms
s
17.0ms
x
Results
AccuracySegmentsBranch
66.4%2x
56.9%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.2%)

Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s)))
#s(literal 1/2 binary32)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
63.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s)))
#s(literal 1/2 binary32)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
63.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
63.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) (neg.f32 s)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s)))
#s(literal 1/2 binary32)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
62.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) (neg.f32 s)) x) s)))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
#s(literal 1/2 binary32)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
61.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
61.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)))
Outputs
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x)))
#s(literal 1/2 binary32)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
61.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
Outputs
(*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x)))
#s(literal 1/2 binary32)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
60.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x)) s) x)
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
#s(literal 1/2 binary32)
Calls

2 calls:

5.0ms
s
4.0ms
x
Results
AccuracySegmentsBranch
46.8%2s
58.8%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
Outputs
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
#s(literal 1/2 binary32)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
58.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 1/2 binary32)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
48.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
Outputs
(/.f32 #s(literal -1 binary32) (/.f32 x s))
#s(literal 1/2 binary32)
Calls

2 calls:

4.0ms
s
3.0ms
x
Results
AccuracySegmentsBranch
35.7%1s
46.4%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
45.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-5.190475202937468e-34
-3.6818273859929126e-34
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
9.109551738601299e-29
2.3975829655303785e-28
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
9.109551738601299e-29
2.3975829655303785e-28
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
9.109551738601299e-29
2.3975829655303785e-28
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-3.874682186965149e-23
-1.551528157400703e-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
-1.0316024429005491e-13
-1.0269750002657452e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.0316024429005491e-13
-1.0269750002657452e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.0316024429005491e-13
-1.0269750002657452e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.0316024429005491e-13
-1.0269750002657452e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.0316024429005491e-13
-1.0269750002657452e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.0316024429005491e-13
-1.0269750002657452e-13
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
9.109551738601299e-29
2.3975829655303785e-28
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.7357117460269365e-7
-1.2292015583170723e-7
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.7357117460269365e-7
-1.2292015583170723e-7
Compiler

Compiled 16 to 12 computations (25% saved)

simplify86.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
562×distribute-lft-neg-in_binary32
352×neg-mul-1_binary32
332×unsub-neg_binary32
328×neg-sub0_binary32
230×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114292
1160292
2186292
3209292
4245292
5301292
6400292
7625292
8984292
91355292
101649292
111871292
121954292
131974292
141981292
151981292
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 x #s(literal -2722259/5444517870735015415413993718908291383296 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) x) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -6338253/316912650057057350374175801344 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 binary32)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 binary32)) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 binary32)) (*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 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 -15200117/147573952589676412928 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14073749/70368744177664 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14073749/70368744177664 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(if (<=.f32 x #s(literal -2722259/5444517870735015415413993718908291383296 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/2 binary32) s)))) x) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s) x) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 x (/.f32 s x)) s) (*.f32 #s(literal -1/6 binary32) x)) x) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (/.f32 x (/.f32 s x)) s)) x) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) x) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) x) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -6338253/316912650057057350374175801344 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/6 binary32))) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -6338253/316912650057057350374175801344 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 binary32)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 binary32)) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) x) (/.f32 #s(literal -6 binary32) (*.f32 x x))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 binary32)) (*.f32 (/.f32 s x) (/.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 x x))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15200117/147573952589676412928 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 -15200117/147573952589676412928 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8307675/83076749736557242056487941267521536 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14073749/70368744177664 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -14073749/70368744177664 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)

soundness2.4s (25.4%)

Rules
5520×*-lowering-*.f32
5520×*-lowering-*.f64
4312×*-lowering-*.f32
4312×*-lowering-*.f64
3610×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045262
1319231
03279231
07176711
123535714
086495714
06044109
120403654
269193646
083883646
032193
1214161
21863161
09081161
0822
14422
226522
3223322
0862822
0140619
1405573
21414570
35777570
08547570
045280
1323263
23114255
08890255
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×iter limit
1×node limit
Compiler

Compiled 695 to 406 computations (41.6% saved)

preprocess367.0ms (3.9%)

Compiler

Compiled 614 to 242 computations (60.6% saved)

end0.0ms (0%)

Profiling

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