Logistic function

Time bar (total: 12.4s)

analyze70.0ms (0.6%)

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

Compiled 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 7.0ms (23.4% of total)
...c/correct-round.rkt:119:19: 7.0ms (23.4% of total)
ival-exp: 6.0ms (20% of total)
ival-add: 3.0ms (10% of total)
ival-<=: 3.0ms (10% of total)
ival-neg: 2.0ms (6.7% of total)
ival-and: 1.0ms (3.3% of total)
const: 1.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (10.9%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 815.0ms
ival-div: 387.0ms (47.5% of total)
...c/correct-round.rkt:119:19: 151.0ms (18.5% of total)
ival-<=: 76.0ms (9.3% of total)
ival-exp: 69.0ms (8.5% of total)
ival-neg: 51.0ms (6.3% of total)
ival-add: 49.0ms (6% of total)
ival-and: 18.0ms (2.2% of total)
const: 10.0ms (1.2% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess48.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

explain94.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14(7.244138015144452e-13 5.2721075524979e-15)1(2.816901206970215 0.05566498264670372)(exp.f32 (/.f32 (neg.f32 x) s))
00-0-x
00-0-(/.f32 (neg.f32 x) s)
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
00-0-#s(literal 1 binary32)
00-0-s
Results
61.0ms512×0valid
Compiler

Compiled 77 to 26 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 8.0ms (41% of total)
ival-exp: 5.0ms (25.6% of total)
ival-add: 3.0ms (15.4% of total)
ival-neg: 3.0ms (15.4% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.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)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize36.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(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))))
Results
27.0ms256×0valid
Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (50.2% of total)
ival-exp: 2.0ms (20.1% of total)
ival-add: 1.0ms (10% of total)
ival-neg: 1.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

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

21 calls:

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

rewrite117.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
390×*-lowering-*.f32
390×*-lowering-*.f64
344×/-lowering-/.f32
344×/-lowering-/.f64
148×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
13122
211022
339322
0119122
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
4 → 92
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
(neg x)
Outputs
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(-.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(-.f32 (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(/.f32 (exp.f32 (log.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 x (neg.f32 s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) (neg.f32 x)))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (E.f32) (/.f32 x (neg.f32 s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 x (neg.f32 s)))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 x (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal -1 binary32)) x)
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.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) (exp.f32 (/.f32 x (neg.f32 s))))
(*.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 x (neg.f32 s))))
(neg.f32 x)
(neg.f32 (log.f32 (exp.f32 x)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32)))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(pow.f32 (neg.f32 x) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) x)
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x))
(/.f32 x #s(literal -1 binary32))
(/.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(*.f32 x #s(literal -1 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(log.f32 (/.f32 #s(literal 1 binary32) (exp.f32 x)))

simplify176.0ms (1.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0140619
1405573
21415570
35776570
08530570
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #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 #s(literal 1/4 binary32) (/.f32 x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #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 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #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 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(* -1 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)

eval16.0ms (0.1%)

Compiler

Compiled 1945 to 392 computations (79.8% saved)

prune26.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New16610176
Fresh000
Picked011
Done000
Total16611177
Accuracy
100.0%
Counts
177 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
▶38.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
99.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
52.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
51.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
▶51.7%
(/.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) (exp.f32 (/.f32 (neg.f32 x) s))))
▶26.5%
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
28.9%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
▶99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
▶35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 307 to 218 computations (29% saved)

simplify177.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
✓cost-diff64
(*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))
✓cost-diff128
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
✓cost-diff0
(*.f32 #s(literal 1/4 binary32) x)
✓cost-diff0
(/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s)
✓cost-diff0
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
✓cost-diff64
(+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓cost-diff0
(exp.f32 (/.f32 x (neg.f32 s)))
✓cost-diff0
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
✓cost-diff0
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
✓cost-diff6304
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
Rules
2882×*-lowering-*.f32
2882×*-lowering-*.f64
1418×sum5-define
1404×fma-lowering-fma.f32
1404×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
040259
198253
2237253
3511252
41030236
51815232
63939232
77578232
08314232
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
(neg (log (+ 1 (exp (/ x (neg s))))))
(log (+ 1 (exp (/ x (neg s)))))
(exp (/ x (neg s)))
(/ x (neg s))
x
(neg s)
s
1/2
(/ 1 (- 2 (/ x s)))
1
(- 2 (/ x s))
2
(/ x s)
x
s
(+ 1/2 (/ (+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s))
1/2
(/ (+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s)
(+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s))
(* 1/4 x)
1/4
x
(/ (* -1/48 (/ (* x (* x x)) s)) s)
(* -1/48 (/ (* x (* x x)) s))
-1/48
(/ (* x (* x x)) s)
(* x (* x x))
(* x x)
s
(/ 1 (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))))
1
(+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))))
2
(* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))
x
(+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))
(* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))
(+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))
(* -1/6 (/ x (* s (* s s))))
-1/6
(/ x (* s (* s s)))
(* s (* s s))
s
(* s s)
(/ 1/2 (* s s))
1/2
(/ -1 s)
-1
Outputs
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(neg (log (+ 1 (exp (/ x (neg s))))))
(neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(log (+ 1 (exp (/ x (neg s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(exp (/ x (neg s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/ x (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
x
(neg s)
(neg.f32 s)
s
1/2
#s(literal 1/2 binary32)
(/ 1 (- 2 (/ x s)))
(/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32)))
1
#s(literal 1 binary32)
(- 2 (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(/ x s)
(/.f32 x s)
x
s
(+ 1/2 (/ (+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) s)) s))) s))
1/2
#s(literal 1/2 binary32)
(/ (+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s)
(/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) s)) s))) s)
(+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s))
(*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) s)) s)))
(* 1/4 x)
(*.f32 x #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
x
(/ (* -1/48 (/ (* x (* x x)) s)) s)
(*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/48 (/ (* x (* x x)) s))
(*.f32 x (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) s)))
-1/48
#s(literal -1/48 binary32)
(/ (* x (* x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* x (* x x))
(*.f32 x (*.f32 x x))
(* x x)
(*.f32 x x)
s
(/ 1 (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))
2
#s(literal 2 binary32)
(* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))
(*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s)))
x
(+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))
(+.f32 (*.f32 x (/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) s) s)) (/.f32 #s(literal -1 binary32) s))
(* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))
(*.f32 x (/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) s) s))
(+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))
(+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(* -1/6 (/ x (* s (* s s))))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
-1/6
#s(literal -1/6 binary32)
(/ x (* s (* s s)))
(/.f32 x (*.f32 s (*.f32 s s)))
(* s (* s s))
(*.f32 s (*.f32 s s))
s
(* s s)
(*.f32 s s)
(/ 1/2 (* s s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
1/2
#s(literal 1/2 binary32)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)

localize472.0ms (3.8%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy95.9%
(*.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)))
✓accuracy95.1%
(/.f32 x (*.f32 s (*.f32 s s)))
✓accuracy93.6%
(*.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))))
✓accuracy76.2%
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓accuracy99.9%
(*.f32 x (*.f32 x x))
✓accuracy99.5%
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
✓accuracy94.9%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy93.8%
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy98.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy100.0%
(neg.f32 s)
✓accuracy99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
✓accuracy99.9%
(exp.f32 (/.f32 x (neg.f32 s)))
✓accuracy93.8%
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
Results
231.0ms79×5exit
129.0ms95×1valid
46.0ms82×0valid
Compiler

Compiled 318 to 40 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
backward-pass: 55.0ms (25.6% of total)
ival-div: 47.0ms (21.9% of total)
ival-mult: 23.0ms (10.7% of total)
compiled-spec: 19.0ms (8.8% of total)
...c/correct-round.rkt:119:19: 17.0ms (7.9% of total)
ival-add: 16.0ms (7.5% of total)
ival-exp: 13.0ms (6.1% of total)
ival-neg: 11.0ms (5.1% of total)
ival-log: 10.0ms (4.7% of total)
ival-sub: 2.0ms (0.9% of total)
const: 2.0ms (0.9% of total)

series160.0ms (1.3%)

Counts
22 → 492
Calls
Call 1
Inputs
#<alt (exp (neg (log (+ 1 (exp (/ x (neg s)))))))>
#<alt (neg (log (+ 1 (exp (/ x (neg s))))))>
#<alt (log (+ 1 (exp (/ x (neg s)))))>
#<alt (exp (/ x (neg s)))>
#<alt (/ 1 (- 2 (/ x s)))>
#<alt (- 2 (/ x s))>
#<alt (/ x s)>
#<alt (+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s))>
#<alt (+ 1/2 (/ (+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s))>
#<alt (/ (+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s)>
#<alt (* 1/4 x)>
#<alt (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))>
#<alt (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))>
#<alt (/ 1 (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))))>
#<alt (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))))>
#<alt (neg s)>
#<alt (/ (* -1/48 (/ (* x (* x x)) s)) s)>
#<alt (/ (* x (* x x)) s)>
#<alt (* -1/48 (/ (* x (* x x)) s))>
#<alt (* x (* x x))>
#<alt (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))>
#<alt (/ x (* s (* s s)))>
Outputs
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))>
#<alt (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1/2>
#<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)))>
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#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt 2>
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#<alt (* -1 (/ x s))>
#<alt (/ (- (* 2 s) x) s)>
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#<alt 2>
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#<alt (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
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#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
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#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))>
#<alt (* 1/4 x)>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (* 1/4 x)>
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#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))>
#<alt 1/2>
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#<alt 1/2>
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#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt 1/2>
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#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
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#<alt 1/2>
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#<alt 1/2>
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#<alt 2>
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#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
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#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
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#<alt 2>
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#<alt 2>
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#<alt (* -1 s)>
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#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
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#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (/ (pow x 3) s)>
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#<alt (* -1/48 (/ (pow x 3) s))>
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#<alt (* -1/48 (/ (pow x 3) s))>
#<alt (* -1/48 (/ (pow x 3) s))>
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#<alt (pow x 3)>
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#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
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#<alt (/ 1/2 (pow s 2))>
#<alt (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
Calls

123 calls:

TimeVariablePointExpression
57.0ms
x
@-inf
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
44.0ms
x
@inf
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
19.0ms
s
@0
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
3.0ms
s
@inf
(* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))
1.0ms
x
@0
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))

rewrite323.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
2860×*-lowering-*.f32
2860×*-lowering-*.f64
2444×fma-lowering-fma.f32
2444×fma-lowering-fma.f64
1956×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040199
1159193
2735192
35045190
08158190
Stop Event
1×iter limit
1×node limit
Counts
22 → 997
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp (/ x (neg s)))))))
(neg (log (+ 1 (exp (/ x (neg s))))))
(log (+ 1 (exp (/ x (neg s)))))
(exp (/ x (neg s)))
(/ 1 (- 2 (/ x s)))
(- 2 (/ x s))
(/ x s)
(+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s))
(+ 1/2 (/ (+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s))
(/ (+ (* 1/4 x) (/ (* -1/48 (/ (* x (* x x)) s)) s)) s)
(* 1/4 x)
(* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s))))
(* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))
(/ 1 (+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)))))
(+ 2 (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))))
(neg s)
(/ (* -1/48 (/ (* x (* x x)) s)) s)
(/ (* x (* x x)) s)
(* -1/48 (/ (* x (* x x)) s))
(* x (* x x))
(+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))
(/ x (* s (* s s)))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.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))
(neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(+.f32 (neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))))
(fma.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))))
(*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal 0 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (/.f32 #s(literal -1 binary32) s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(/.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 (exp.f32 (/.f32 x s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(exp.f32 (*.f32 #s(literal -1 binary32) (log.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal -1 binary32))
(neg.f32 (+.f32 (/.f32 x s) #s(literal -2 binary32)))
(exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(+.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))
(fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))
(fma.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(-.f32 #s(literal 0 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32))))
(/.f32 (+.f32 (/.f32 x s) #s(literal -2 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32)))
(*.f32 (+.f32 (/.f32 x s) #s(literal -2 binary32)) #s(literal -1 binary32))
(neg.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 s x)) #s(literal -1 binary32)))
(pow.f32 (/.f32 s x) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 s x))
(/.f32 x s)
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -1 binary32))
(/.f32 (/.f32 x s) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 s x)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (neg.f32 s))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 x s))
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(*.f32 x (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -1 binary32))
(*.f32 (/.f32 x s) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 x))
(*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s))
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) x)
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) s))
(neg.f32 (+.f32 (*.f32 x #s(literal -1/4 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x))))))
(+.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x))))) (*.f32 x #s(literal 1/4 binary32)))
(+.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x))))) (neg.f32 (*.f32 x #s(literal -1/4 binary32))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x))))) #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (neg.f32 (neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))) #s(literal -1/48 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/48 binary32) (/.f32 s (*.f32 x (*.f32 x x)))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x))))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) s) (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (/.f32 #s(literal -1/48 binary32) (/.f32 s (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/48 binary32) s)) (/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s))) #s(literal 1/48 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
(+.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (/.f32 s (*.f32 x (*.f32 x x)))))) (fma.f32 (/.f32 x (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s s))))
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(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x (*.f32 s s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (*.f32 s s) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 x s))
(*.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))) (neg.f32 x))
(*.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))))

simplify296.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
4116×*-lowering-*.f32
4116×*-lowering-*.f64
2288×+-lowering-+.f64
2288×+-lowering-+.f32
2030×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06375246
120614449
275894420
080054420
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 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)
(/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)
(* -1 (/ s x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
(* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(* 1/4 x)
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(* 1/4 x)
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(* 1/4 x)
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(* 1/4 (/ x s))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(* 1/4 (/ x s))
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(* 1/4 (/ x s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(* -1/48 (/ (pow x 3) s))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* -1/6 (/ x (pow s 3)))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ x (pow s 3)))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1/6 (/ x (pow s 3)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
Outputs
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1/4 binary32) s))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) (*.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) (+.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x #s(literal -1/4 binary32)) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 x #s(literal 0 binary32)) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))))) s) s)) s))
(* -1 (log 2))
(-.f32 #s(literal 0 binary32) (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) (log.f32 #s(literal 2 binary32)))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(-.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) s))) (log.f32 #s(literal 2 binary32)))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(-.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/192 binary32)) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)))))) (log.f32 #s(literal 2 binary32)))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log 2))
(-.f32 #s(literal 0 binary32) (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) (log.f32 #s(literal 2 binary32)))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 s s)) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+.f32 (-.f32 (/.f32 (*.f32 x #s(literal 0 binary32)) (*.f32 s s)) (log.f32 #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s))
(* -1 (log 2))
(-.f32 #s(literal 0 binary32) (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) (log.f32 #s(literal 2 binary32)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s) (log.f32 #s(literal 2 binary32)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(-.f32 (/.f32 (neg.f32 (+.f32 (+.f32 (*.f32 (*.f32 x #s(literal 0 binary32)) #s(literal 1/6 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/8 binary32)) s)) (*.f32 #s(literal 1/2 binary32) x))) (neg.f32 s)) (log.f32 #s(literal 2 binary32)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 x (+.f32 (/.f32 #s(literal -1/2 binary32) s) (*.f32 #s(literal 1/8 binary32) (/.f32 x (*.f32 s s))))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/192 binary32)) (pow.f32 s #s(literal 4 binary32))))) (/.f32 #s(literal -1/2 binary32) s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
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#s(literal 2 binary32)
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(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(* -1/48 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s)
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(* -1/6 (/ x (pow s 3)))
(*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ x (pow s 3)))
(*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 x))
(* -1/6 (/ x (pow s 3)))
(*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))

eval201.0ms (1.6%)

Compiler

Compiled 34788 to 5498 computations (84.2% saved)

prune227.0ms (1.8%)

Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1460291489
Fresh235
Picked235
Done011
Total1464361500
Accuracy
100.0%
Counts
1500 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
▶15.0%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
31.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
29.5%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
38.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))
38.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
52.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s)) s)))
51.5%
(/.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)))
✓38.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
38.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
38.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
99.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
48.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
52.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
52.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) s)) s)))
42.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) s) (*.f32 x (*.f32 #s(literal -1/6 binary32) s))) x) (*.f32 s (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
28.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 s s)))) x) (*.f32 s (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
50.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
51.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (-.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1/6 binary32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
53.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s s)) (*.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s x)))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
56.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
54.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
▶54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))) (/.f32 #s(literal -1 binary32) s)))))
54.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x s) (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
51.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
52.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
38.7%
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
17.5%
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
▶16.1%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
▶26.1%
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
23.2%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
28.9%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
14.7%
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
✓99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
✓35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 1327 to 886 computations (33.2% saved)

simplify264.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))) (/.f32 #s(literal -1 binary32) s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))) (/.f32 #s(literal -1 binary32) s)))))
✓cost-diff32
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s))
✓cost-diff128
(*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s))))
✓cost-diff0
(*.f32 #s(literal 1/4 binary32) x)
✓cost-diff0
(/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s)
✓cost-diff0
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
✓cost-diff64
(+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x))))
✓cost-diff0
(*.f32 (*.f32 s s) #s(literal -2 binary32))
✓cost-diff0
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x)
✓cost-diff0
(-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s)
✓cost-diff0
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
✓cost-diff0
(/.f32 s x)
✓cost-diff0
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓cost-diff0
(exp.f32 (/.f32 x (neg.f32 s)))
✓cost-diff0
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
✓cost-diff0
(exp.f32 #s(literal -1 binary32))
✓cost-diff0
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
Rules
2638×*-lowering-*.f32
2638×*-lowering-*.f64
1790×fma-lowering-fma.f32
1790×fma-lowering-fma.f64
1764×fnmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
044310
1102300
2262274
3809267
43075265
57159262
08684262
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (exp -1) (log (+ 1 (exp (/ x (neg s))))))
(exp -1)
-1
(log (+ 1 (exp (/ x (neg s)))))
(exp (/ x (neg s)))
(/ x (neg s))
x
(neg s)
s
(- 0 (/ s x))
0
(/ s x)
s
x
(/ (- (/ (* (* s s) -2) x) s) x)
(- (/ (* (* s s) -2) x) s)
(/ (* (* s s) -2) x)
(* (* s s) -2)
(* s s)
s
-2
x
(+ 1/2 (/ (+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x)))) s))
1/2
(/ (+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x)))) s)
(+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x))))
(* 1/4 x)
1/4
x
(* (/ (* x -1/48) s) (/ x (/ s x)))
(/ (* x -1/48) s)
(* x -1/48)
-1/48
s
(/ x (/ s x))
(/ s x)
(/ 1 (+ 2 (* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s)))))
1
(+ 2 (* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s))))
2
(* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s)))
x
(+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s))
(* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s))))
(- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))
(/ 1/2 (* s s))
1/2
(* s s)
s
(/ (/ (* x -1/6) (* s s)) (neg s))
(/ (* x -1/6) (* s s))
(* x -1/6)
-1/6
(neg s)
(/ -1 s)
-1
Outputs
(pow (exp -1) (log (+ 1 (exp (/ x (neg s))))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(exp -1)
(exp.f32 #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(log (+ 1 (exp (/ x (neg s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(exp (/ x (neg s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/ x (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
x
(neg s)
(neg.f32 s)
s
(- 0 (/ s x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
0
#s(literal 0 binary32)
(/ s x)
(/.f32 s x)
s
x
(/ (- (/ (* (* s s) -2) x) s) x)
(/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 s x) #s(literal -2 binary32)))) x)
(- (/ (* (* s s) -2) x) s)
(*.f32 s (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 s x) #s(literal -2 binary32))))
(/ (* (* s s) -2) x)
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x)
(* (* s s) -2)
(*.f32 s (*.f32 s #s(literal -2 binary32)))
(* s s)
(*.f32 s s)
s
-2
#s(literal -2 binary32)
x
(+ 1/2 (/ (+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x)))) s))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal -1/48 binary32)) (/.f32 (*.f32 s s) x))) s)))
1/2
#s(literal 1/2 binary32)
(/ (+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x)))) s)
(*.f32 x (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal -1/48 binary32)) (/.f32 (*.f32 s s) x))) s))
(+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x))))
(*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal -1/48 binary32)) (/.f32 (*.f32 s s) x))))
(* 1/4 x)
(*.f32 x #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
x
(* (/ (* x -1/48) s) (/ x (/ s x)))
(/.f32 (*.f32 x #s(literal -1/48 binary32)) (/.f32 (*.f32 s s) (*.f32 x x)))
(/ (* x -1/48) s)
(/.f32 #s(literal -1/48 binary32) (/.f32 s x))
(* x -1/48)
(*.f32 x #s(literal -1/48 binary32))
-1/48
#s(literal -1/48 binary32)
s
(/ x (/ s x))
(/.f32 x (/.f32 s x))
(/ s x)
(/.f32 s x)
(/ 1 (+ 2 (* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)))))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))))
2
#s(literal 2 binary32)
(* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s)))
(*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)))
x
(+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s))
(+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))
(* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s))))
(*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))
(- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 s s)))
(/ 1/2 (* s s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
1/2
#s(literal 1/2 binary32)
(* s s)
(*.f32 s s)
s
(/ (/ (* x -1/6) (* s s)) (neg s))
(/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) (*.f32 s s))
(/ (* x -1/6) (* s s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s))
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(neg s)
(neg.f32 s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)

localize1.2s (9.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy95.9%
(*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))) (/.f32 #s(literal -1 binary32) s)))
✓accuracy93.6%
(*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s))))
✓accuracy92.5%
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s))
✓accuracy76.2%
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))
✓accuracy99.8%
(/.f32 x (/.f32 s x))
✓accuracy99.7%
(*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))
✓accuracy99.6%
(/.f32 (*.f32 x #s(literal -1/48 binary32)) s)
✓accuracy99.2%
(*.f32 x #s(literal -1/48 binary32))
✓accuracy100.0%
(-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s)
✓accuracy99.9%
(*.f32 (*.f32 s s) #s(literal -2 binary32))
✓accuracy99.7%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
✓accuracy92.5%
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x)
✓accuracy100.0%
(/.f32 s x)
✓accuracy100.0%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓accuracy100.0%
(exp.f32 #s(literal -1 binary32))
✓accuracy99.9%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
✓accuracy99.9%
(exp.f32 (/.f32 x (neg.f32 s)))
✓accuracy93.8%
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
Results
828.0ms79×5exit
202.0ms95×1valid
86.0ms82×0valid
Compiler

Compiled 343 to 44 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 850.0ms
ival-pow: 476.0ms (56% of total)
ival-div: 102.0ms (12% of total)
ival-exp: 87.0ms (10.2% of total)
backward-pass: 71.0ms (8.4% of total)
ival-add: 31.0ms (3.6% of total)
ival-mult: 25.0ms (2.9% of total)
compiled-spec: 20.0ms (2.4% of total)
...c/correct-round.rkt:119:19: 14.0ms (1.6% of total)
ival-log: 9.0ms (1.1% of total)
ival-sub: 8.0ms (0.9% of total)
ival-neg: 4.0ms (0.5% of total)
const: 3.0ms (0.4% of total)

series166.0ms (1.3%)

Counts
25 → 540
Calls
Call 1
Inputs
#<alt (pow (exp -1) (log (+ 1 (exp (/ x (neg s))))))>
#<alt (exp -1)>
#<alt (log (+ 1 (exp (/ x (neg s)))))>
#<alt (exp (/ x (neg s)))>
#<alt (- 0 (/ s x))>
#<alt (/ s x)>
#<alt (/ (- (/ (* (* s s) -2) x) s) x)>
#<alt (- (/ (* (* s s) -2) x) s)>
#<alt (/ (* (* s s) -2) x)>
#<alt (* (* s s) -2)>
#<alt (+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x))))>
#<alt (+ 1/2 (/ (+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x)))) s))>
#<alt (/ (+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x)))) s)>
#<alt (* 1/4 x)>
#<alt (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s))))>
#<alt (/ (/ (* x -1/6) (* s s)) (neg s))>
#<alt (/ 1 (+ 2 (* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s)))))>
#<alt (+ 2 (* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s))))>
#<alt (* x -1/48)>
#<alt (/ (* x -1/48) s)>
#<alt (* (/ (* x -1/48) s) (/ x (/ s x)))>
#<alt (/ x (/ s x))>
#<alt (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))>
#<alt (/ (* x -1/6) (* s s))>
#<alt (* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 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 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))>
#<alt (+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ 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 (/ s x))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 s)>
#<alt (* s (- (* -2 (/ s x)) 1))>
#<alt (* s (- (* -2 (/ s x)) 1))>
#<alt (* s (- (* -2 (/ s x)) 1))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
#<alt (* -1 s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (* -1 s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (- (* -2 (/ (pow s 2) x)) s)>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -2 (/ (pow s 2) x))>
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#<alt (* -1/6 (/ x (pow s 2)))>
#<alt (* -1/6 (/ x (pow s 2)))>
#<alt (* -1/6 (/ x (pow s 2)))>
#<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))>
Calls

135 calls:

TimeVariablePointExpression
79.0ms
s
@inf
(- 0 (/ s x))
24.0ms
x
@inf
(pow (exp -1) (log (+ 1 (exp (/ x (neg s))))))
18.0ms
x
@0
(pow (exp -1) (log (+ 1 (exp (/ x (neg s))))))
6.0ms
s
@0
(pow (exp -1) (log (+ 1 (exp (/ x (neg s))))))
1.0ms
s
@inf
(/ (- (/ (* (* s s) -2) x) s) x)

rewrite564.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
4900×*-lowering-*.f32
4900×*-lowering-*.f64
2718×/-lowering-/.f32
2718×/-lowering-/.f64
1280×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044245
1181230
21138208
09224208
Stop Event
1×iter limit
1×node limit
Counts
25 → 1062
Calls
Call 1
Inputs
(pow (exp -1) (log (+ 1 (exp (/ x (neg s))))))
(exp -1)
(log (+ 1 (exp (/ x (neg s)))))
(exp (/ x (neg s)))
(- 0 (/ s x))
(/ s x)
(/ (- (/ (* (* s s) -2) x) s) x)
(- (/ (* (* s s) -2) x) s)
(/ (* (* s s) -2) x)
(* (* s s) -2)
(+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x))))
(+ 1/2 (/ (+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x)))) s))
(/ (+ (* 1/4 x) (* (/ (* x -1/48) s) (/ x (/ s x)))) s)
(* 1/4 x)
(* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s))))
(/ (/ (* x -1/6) (* s s)) (neg s))
(/ 1 (+ 2 (* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s)))))
(+ 2 (* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s))))
(* x -1/48)
(/ (* x -1/48) s)
(* (/ (* x -1/48) s) (/ x (/ s x)))
(/ x (/ s x))
(- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))
(/ (* x -1/6) (* s s))
(* x (+ (* x (- (/ 1/2 (* s s)) (/ (/ (* x -1/6) (* s s)) (neg s)))) (/ -1 s)))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 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) (exp.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(exp.f32 #s(literal -1 binary32))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (/.f32 #s(literal -1 binary32) s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.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) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(neg.f32 (/.f32 s x))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(+.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 0 binary32))
(pow.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 s x) #s(literal 0 binary32))
(fma.f32 s (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/.f32 s (neg.f32 x))
(/.f32 (neg.f32 s) x)
(/.f32 (/.f32 s x) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))) (/.f32 x #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal -1 binary32) (/.f32 x s))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 x s)) x) (/.f32 x (/.f32 s x)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) x) (*.f32 x s)) (*.f32 x x))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 x)) (/.f32 x (/.f32 #s(literal -1 binary32) s))) (*.f32 x (neg.f32 x)))
(*.f32 #s(literal -1 binary32) (/.f32 s x))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (/.f32 x s)) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 s x))
(+.f32 #s(literal 0 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal -1 binary32)))
(+.f32 (/.f32 s x) #s(literal 0 binary32))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal -1 binary32)) #s(literal 0 binary32))
(pow.f32 (/.f32 s x) #s(literal 1 binary32))
(pow.f32 (/.f32 x s) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(-.f32 (/.f32 s x) #s(literal 0 binary32))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 s x)
(/.f32 (neg.f32 s) (neg.f32 x))
(/.f32 (/.f32 s x) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal -1 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 x s)) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal -1 binary32) (/.f32 x s))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))) (neg.f32 x)) (/.f32 x (/.f32 s x)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 x)) (*.f32 (neg.f32 x) s)) (*.f32 (neg.f32 x) (neg.f32 x)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) x) (*.f32 (neg.f32 x) (neg.f32 s))) (*.f32 (neg.f32 x) x))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(*.f32 #s(literal 1 binary32) (/.f32 s x))
(*.f32 s (/.f32 #s(literal 1 binary32) x))
(*.f32 (neg.f32 s) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 s x) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) x) s)
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (neg.f32 s))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) s)
(neg.f32 (/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))) (neg.f32 x)))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))) (neg.f32 x))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 x (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))))))
(neg.f32 (/.f32 (-.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) (/.f32 s x)) x) (/.f32 x (/.f32 #s(literal -1 binary32) (/.f32 x s)))))
(exp.f32 (*.f32 (log.f32 (/.f32 x (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))) x) #s(literal 0 binary32))
(+.f32 (/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))) x) (fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1 binary32) (/.f32 s x)))
(+.f32 (/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))) x) (fma.f32 (/.f32 #s(literal -1 binary32) x) s (/.f32 s x)))
(+.f32 (/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))) x) (fma.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x) (/.f32 s x)))
(+.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x))
(+.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(+.f32 (fma.f32 (*.f32 s s) (/.f32 (/.f32 #s(literal -2 binary32) x) x) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal -1 binary32)))) (fma.f32 (/.f32 s x) #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal -1 binary32))))
(+.f32 (fma.f32 (*.f32 s s) (/.f32 (/.f32 #s(literal -2 binary32) x) x) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) (neg.f32 s)))) (fma.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s) (*.f32 (/.f32 #s(literal -1 binary32) x) (neg.f32 s))))
(+.f32 (fma.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal -1 binary32)))) (fma.f32 (/.f32 s x) #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal -1 binary32))))
(+.f32 (fma.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) (neg.f32 s)))) (fma.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s) (*.f32 (/.f32 #s(literal -1 binary32) x) (neg.f32 s))))
(+.f32 (fma.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) (/.f32 #s(literal 1 binary32) x) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal -1 binary32)))) (fma.f32 (/.f32 s x) #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal -1 binary32))))
(+.f32 (fma.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) (/.f32 #s(literal 1 binary32) x) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) (neg.f32 s)))) (fma.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s) (*.f32 (/.f32 #s(literal -1 binary32) x) (neg.f32 s))))
(+.f32 (*.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(+.f32 (+.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(+.f32 (-.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(pow.f32 (/.f32 x (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32)))))) #s(literal -1 binary32))
(fma.f32 (*.f32 s s) (/.f32 (/.f32 #s(literal -2 binary32) x) x) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(fma.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(fma.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))) (neg.f32 x)))
(-.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x) (/.f32 s x))
(-.f32 (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) (/.f32 s x)) (/.f32 x (/.f32 s x))) (/.f32 x (/.f32 x (/.f32 s x))))
(-.f32 (/.f32 (*.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x) (*.f32 x x)) (/.f32 (*.f32 x s) (*.f32 x x)))
(-.f32 (/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x)) (*.f32 x (neg.f32 x))) (/.f32 (/.f32 x (/.f32 #s(literal -1 binary32) s)) (*.f32 x (neg.f32 x))))
(-.f32 (+.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x) #s(literal 0 binary32)) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 s x)) (-.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) (/.f32 s x)) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x) (*.f32 x s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (neg.f32 x)) (+.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x)) (*.f32 x s))))
(/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal -2 binary32))))) x)
(/.f32 (+.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (/.f32 x s)))) (neg.f32 x))
(/.f32 (-.f32 (/.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) (/.f32 s x)) x) (/.f32 x (/.f32 s x)))
(/.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x) (*.f32 x s)) (*.f32 x x))
(/.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x) x)) (*.f32 x s)) (*.f32 x (neg.f32 x)))
(/.f32 (+.f32 (/.f32 x s) (*.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x)) #s(literal -1 binary32))) (*.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x)) (/.f32 x s)))
(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) (*.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x)) #s(literal 1 binary32))) (*.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x)) (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 (+.f32 (neg.f32 x) (*.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x)) s)) (*.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x)) (neg.f32 x)))
(/.f32 (+.f32 x (*.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x)) (neg.f32 s))) (*.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) x)) x))
(/.f32 (+.f32 (*.f32 (/.f32 (*.f32 s s) #s(literal -1/2 binary32)) (/.f32 x s)) (*.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 x (/.f32 s (*.f32 x x))))
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(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/6 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 s s)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) x) #s(literal -1/6 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/6 binary32)) x)
(+.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)))
(+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 1 binary32) (/.f32 x s)))
(+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x (/.f32 x s)))
(+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) (fma.f32 x (/.f32 #s(literal -1 binary32) s) (/.f32 x s)))
(+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) (/.f32 x s)))
(+.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)))
(fma.f32 x (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(fma.f32 x (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)))
(fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(fma.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) x (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(fma.f32 (/.f32 #s(literal -1 binary32) s) x (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)))
(fma.f32 (*.f32 x x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)))
(-.f32 #s(literal 0 binary32) (-.f32 (/.f32 x s) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))))
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)) (/.f32 x s))
(-.f32 (+.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)) #s(literal 0 binary32)) (/.f32 x s))
(*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
(*.f32 (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) x)

simplify335.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4576×*-lowering-*.f32
4576×*-lowering-*.f64
1882×+-lowering-+.f64
1882×+-lowering-+.f32
1318×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05245165
116204606
257824474
084274474
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
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 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(/ s x)
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* -2 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -2 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -2 (/ (pow s 2) (pow x 2)))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(* -1 (/ s x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 s)
(* s (- (* -2 (/ s x)) 1))
(* s (- (* -2 (/ s x)) 1))
(* s (- (* -2 (/ s x)) 1))
(* -2 (/ (pow s 2) x))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -2 (/ (pow s 2) x))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* (pow s 2) (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -2 (/ (pow s 2) x))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)
(* -1 s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(* -1 s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(- (* -2 (/ (pow s 2) x)) s)
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (/ (pow s 2) x))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* -2 (pow s 2))
(* 1/4 x)
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* x (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 2))
(* 1/4 x)
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(* 1/4 x)
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
(+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(* 1/4 (/ x s))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(* 1/4 (/ x s))
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)
(* 1/4 (/ x s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
(* 1/6 (/ x (pow s 3)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ x s))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(* -1/48 (/ (pow x 3) (pow s 2)))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(* -1/6 (/ x (pow s 3)))
(/ (- (* 1/2 s) (* 1/6 x)) (pow s 3))
(/ (- (* 1/2 s) (* 1/6 x)) (pow s 3))
(/ (- (* 1/2 s) (* 1/6 x)) (pow s 3))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* -1/6 (/ x (pow s 3)))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ x (pow s 3)))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1/6 (/ x (pow s 2)))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (*.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 #s(literal 1/4 binary32) x) s))
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s)) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) #s(literal 0 binary32)))) (*.f32 s (*.f32 s s))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (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 -1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x x)))) #s(literal 0 binary32))) s)) s)) s))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 x (+.f32 (/.f32 #s(literal -1/2 binary32) s) (*.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s))))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/192 binary32)) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s)))) (/.f32 #s(literal -1/2 binary32) s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
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(/.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) s) s)
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) s) s)
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) s) s)
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) s) s)
(* -1/48 (/ (pow x 3) (pow s 2)))
(/.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) s) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(* -1/6 (/ x (pow s 3)))
(*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(/ (- (* 1/2 s) (* 1/6 x)) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 s) (* 1/6 x)) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 s) (* 1/6 x)) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ x (pow s 3)))
(*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ x (pow s 3)))
(*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 x))
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1/6 (/ x (pow s 2)))
(/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s)
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(*.f32 x (+.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal -1 binary32) s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x)) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x)) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x s)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x s)))) (*.f32 s (*.f32 s s)))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s)
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) (neg.f32 s))

eval158.0ms (1.3%)

Compiler

Compiled 37425 to 6183 computations (83.5% saved)

prune246.0ms (2%)

Pruning

33 alts after pruning (28 fresh and 5 done)

PrunedKeptTotal
New1638181656
Fresh171027
Picked415
Done044
Total1659331692
Accuracy
100.0%
Counts
1692 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
32.5%
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
18.1%
(/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))))) (*.f32 s (*.f32 s s)))
31.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
▶14.9%
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
30.6%
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
30.6%
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
▶16.1%
(/.f32 (neg.f32 s) x)
29.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
▶54.2%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
52.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
51.5%
(/.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)))
✓38.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
▶99.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
56.1%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32)))
48.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
42.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) s) (*.f32 x (*.f32 #s(literal -1/6 binary32) s))) x) (*.f32 s (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
50.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
51.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (-.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1/6 binary32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
56.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) s)) s)) (/.f32 #s(literal -1 binary32) s)))))
▶54.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal -1 binary32) s)))))
51.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal 1/6 binary32))))) (/.f32 #s(literal -1 binary32) s)))))
52.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
17.5%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
26.1%
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
26.1%
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
28.9%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
16.1%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
28.2%
(*.f32 s (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
✓99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
✓35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 1152 to 765 computations (33.6% saved)

simplify196.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
✓cost-diff64
(-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s))
✓cost-diff0
(+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))
✓cost-diff0
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
✓cost-diff64
(*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
✓cost-diff0
(/.f32 s (/.f32 x #s(literal -2 binary32)))
✓cost-diff0
(+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))
✓cost-diff0
(*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32)))
✓cost-diff0
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
✓cost-diff-32
(/.f32 (neg.f32 s) x)
✓cost-diff0
(neg.f32 s)
✓cost-diff0
(exp.f32 (/.f32 x s))
✓cost-diff0
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
Rules
2640×*-lowering-*.f32
2640×*-lowering-*.f64
1724×sum5-define
1296×sum4-define
1190×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037254
194246
2236236
3533231
41295228
53593228
08188228
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (- 1 (/ -1 (exp (/ x s)))))
1
(- 1 (/ -1 (exp (/ x s))))
(/ -1 (exp (/ x s)))
-1
(exp (/ x s))
(/ x s)
x
s
(/ (neg s) x)
(neg s)
s
x
(/ (* s (+ (/ s (/ x -2)) -1)) x)
(* s (+ (/ s (/ x -2)) -1))
s
(+ (/ s (/ x -2)) -1)
(/ s (/ x -2))
(/ x -2)
x
-2
-1
(/ 1 (+ 2 (* x (+ (* x (/ 1/2 (* s s))) (/ -1 s)))))
1
(+ 2 (* x (+ (* x (/ 1/2 (* s s))) (/ -1 s))))
2
(* x (+ (* x (/ 1/2 (* s s))) (/ -1 s)))
x
(+ (* x (/ 1/2 (* s s))) (/ -1 s))
(* x (/ 1/2 (* s s)))
(/ 1/2 (* s s))
1/2
(* s s)
s
(/ -1 s)
-1
(/ 1 (- (+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))) (/ x s)))
1
(- (+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))) (/ x s))
(+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x)))
2
(* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))
(/ (- 1/2 (/ (* x 1/6) s)) (* s s))
(- 1/2 (/ (* x 1/6) s))
1/2
(/ (* x 1/6) s)
(* x 1/6)
x
1/6
s
(* s s)
(* x x)
(/ x s)
Outputs
(/ 1 (- 1 (/ -1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1
#s(literal 1 binary32)
(- 1 (/ -1 (exp (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ -1 (exp (/ x s)))
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
-1
#s(literal -1 binary32)
(exp (/ x s))
(exp.f32 (/.f32 x s))
(/ x s)
(/.f32 x s)
x
s
(/ (neg s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(neg s)
(neg.f32 s)
s
x
(/ (* s (+ (/ s (/ x -2)) -1)) x)
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 s #s(literal -2 binary32)) x)) (/.f32 s x))
(* s (+ (/ s (/ x -2)) -1))
(*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 s #s(literal -2 binary32)) x)))
s
(+ (/ s (/ x -2)) -1)
(+.f32 #s(literal -1 binary32) (/.f32 (*.f32 s #s(literal -2 binary32)) x))
(/ s (/ x -2))
(/.f32 (*.f32 s #s(literal -2 binary32)) x)
(/ x -2)
(/.f32 x #s(literal -2 binary32))
x
-2
#s(literal -2 binary32)
-1
#s(literal -1 binary32)
(/ 1 (+ 2 (* x (+ (* x (/ 1/2 (* s s))) (/ -1 s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))))
1
#s(literal 1 binary32)
(+ 2 (* x (+ (* x (/ 1/2 (* s s))) (/ -1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
2
#s(literal 2 binary32)
(* x (+ (* x (/ 1/2 (* s s))) (/ -1 s)))
(*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))
x
(+ (* x (/ 1/2 (* s s))) (/ -1 s))
(+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))
(* x (/ 1/2 (* s s)))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))
(/ 1/2 (* s s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
1/2
#s(literal 1/2 binary32)
(* s s)
(*.f32 s s)
s
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
(/ 1 (- (+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))) (/ x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))) s)))))
1
#s(literal 1 binary32)
(- (+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))) (/ x s))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))) s))))
(+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x)))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (*.f32 x x)) (*.f32 s s)))
2
#s(literal 2 binary32)
(* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))
(/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (*.f32 x x)) (*.f32 s s))
(/ (- 1/2 (/ (* x 1/6) s)) (* s s))
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (*.f32 s s))
(- 1/2 (/ (* x 1/6) s))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))
1/2
#s(literal 1/2 binary32)
(/ (* x 1/6) s)
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* x 1/6)
(*.f32 x #s(literal 1/6 binary32))
x
1/6
#s(literal 1/6 binary32)
s
(* s s)
(*.f32 s s)
(* x x)
(*.f32 x x)
(/ x s)
(/.f32 x s)

localize230.0ms (1.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
✓accuracy99.2%
(*.f32 x #s(literal 1/6 binary32))
✓accuracy84.1%
(*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))
✓accuracy99.7%
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
✓accuracy99.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
✓accuracy97.5%
(*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
✓accuracy91.9%
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓accuracy100.0%
(/.f32 s (/.f32 x #s(literal -2 binary32)))
✓accuracy100.0%
(+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))
✓accuracy99.7%
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
✓accuracy99.7%
(*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32)))
✓accuracy100.0%
(/.f32 (neg.f32 s) x)
✓accuracy100.0%
(neg.f32 s)
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
✓accuracy99.9%
(exp.f32 (/.f32 x s))
✓accuracy99.9%
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
Results
108.0ms178×0valid
72.0ms78×0unsamplable
Compiler

Compiled 282 to 38 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 44.0ms (48.5% of total)
ival-div: 29.0ms (31.9% of total)
ival-add: 6.0ms (6.6% of total)
ival-sub: 4.0ms (4.4% of total)
...c/correct-round.rkt:119:19: 4.0ms (4.4% of total)
ival-exp: 2.0ms (2.2% of total)
const: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.3%)

Counts
22 → 492
Calls
Call 1
Inputs
#<alt (/ 1 (- 1 (/ -1 (exp (/ x s)))))>
#<alt (- 1 (/ -1 (exp (/ x s))))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (exp (/ x s))>
#<alt (neg s)>
#<alt (/ (neg s) x)>
#<alt (/ (* s (+ (/ s (/ x -2)) -1)) x)>
#<alt (* s (+ (/ s (/ x -2)) -1))>
#<alt (+ (/ s (/ x -2)) -1)>
#<alt (/ s (/ x -2))>
#<alt (* x (+ (* x (/ 1/2 (* s s))) (/ -1 s)))>
#<alt (/ 1 (+ 2 (* x (+ (* x (/ 1/2 (* s s))) (/ -1 s)))))>
#<alt (+ 2 (* x (+ (* x (/ 1/2 (* s s))) (/ -1 s))))>
#<alt (+ (* x (/ 1/2 (* s s))) (/ -1 s))>
#<alt (- (+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))) (/ x s))>
#<alt (/ 1 (- (+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))) (/ x s)))>
#<alt (+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x)))>
#<alt (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))>
#<alt (* x (/ 1/2 (* s s)))>
#<alt (/ 1/2 (* s s))>
#<alt (* x 1/6)>
#<alt (/ (* x 1/6) s)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))>
#<alt -1>
#<alt (- (/ x s) 1)>
#<alt (- (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) 1)>
#<alt (- (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))) 1)>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt (/ -1 (exp (/ x s)))>
#<alt -1>
#<alt (- (/ x s) 1)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (pow x 2)) (pow s 2))) (+ 1 (* -1 (/ x s))))>
#<alt (- (* -1 (/ (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ 1 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))>
#<alt -1>
#<alt (- (/ x s) 1)>
#<alt (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) s)) (/ (pow x 2) s)) x) s)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (/ (* x (+ (* -1/2 (pow x 2)) (pow x 2))) s))) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) x) s)) 1)>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 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 (* -1 (/ s x))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 s)>
#<alt (* s (- (* -2 (/ s x)) 1))>
#<alt (* s (- (* -2 (/ s x)) 1))>
#<alt (* s (- (* -2 (/ s x)) 1))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -2 (/ (pow s 2) x))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) x)>
#<alt (* -1 s)>
#<alt (+ (* -2 (/ (pow s 2) x)) (* -1 s))>
#<alt (+ (* -2 (/ (pow s 2) x)) (* -1 s))>
#<alt (+ (* -2 (/ (pow s 2) x)) (* -1 s))>
#<alt (* -1 s)>
#<alt (+ (* -2 (/ (pow s 2) x)) (* -1 s))>
#<alt (+ (* -2 (/ (pow s 2) x)) (* -1 s))>
#<alt (+ (* -2 (/ (pow s 2) x)) (* -1 s))>
#<alt -1>
#<alt (- (* -2 (/ s x)) 1)>
#<alt (- (* -2 (/ s x)) 1)>
#<alt (- (* -2 (/ s x)) 1)>
#<alt (* -2 (/ s x))>
#<alt (* -1 (* s (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* s (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -1 (* s (+ (* 2 (/ 1 x)) (/ 1 s))))>
#<alt (* -2 (/ s x))>
#<alt (* -1 (* s (+ (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* s (+ (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* s (+ (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -2 (/ s x))>
#<alt (/ (+ (* -2 s) (* -1 x)) x)>
#<alt (/ (+ (* -2 s) (* -1 x)) x)>
#<alt (/ (+ (* -2 s) (* -1 x)) x)>
#<alt -1>
#<alt (- (* -2 (/ s x)) 1)>
#<alt (- (* -2 (/ s x)) 1)>
#<alt (- (* -2 (/ s x)) 1)>
#<alt -1>
#<alt (- (* -2 (/ s x)) 1)>
#<alt (- (* -2 (/ s x)) 1)>
#<alt (- (* -2 (/ s x)) 1)>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<alt (* -2 (/ s x))>
#<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 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (/ -1 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt 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 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (/ x s))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) (* -1 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 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (+ 2 (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (+ 2 (* (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 (* (pow s 2) x)) (/ 2 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (/ 2 (pow x 3))) (* 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))) (* 2 (/ 1 (pow x 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 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 (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
#<alt (* 1/6 (/ x s))>
Calls

123 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ 1 (- 1 (/ -1 (exp (/ x s)))))
2.0ms
s
@inf
(/ s (/ x -2))
2.0ms
s
@-inf
(/ 1 (- 1 (/ -1 (exp (/ x s)))))
1.0ms
x
@0
(* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))
1.0ms
x
@-inf
(/ 1 (- 1 (/ -1 (exp (/ x s)))))

rewrite251.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2788×*-lowering-*.f32
2788×*-lowering-*.f64
2388×/-lowering-/.f32
2388×/-lowering-/.f64
1730×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037197
1172187
2869181
35992173
08442173
Stop Event
1×iter limit
1×node limit
Counts
22 → 780
Calls
Call 1
Inputs
(/ 1 (- 1 (/ -1 (exp (/ x s)))))
(- 1 (/ -1 (exp (/ x s))))
(/ -1 (exp (/ x s)))
(exp (/ x s))
(neg s)
(/ (neg s) x)
(/ (* s (+ (/ s (/ x -2)) -1)) x)
(* s (+ (/ s (/ x -2)) -1))
(+ (/ s (/ x -2)) -1)
(/ s (/ x -2))
(* x (+ (* x (/ 1/2 (* s s))) (/ -1 s)))
(/ 1 (+ 2 (* x (+ (* x (/ 1/2 (* s s))) (/ -1 s)))))
(+ 2 (* x (+ (* x (/ 1/2 (* s s))) (/ -1 s))))
(+ (* x (/ 1/2 (* s s))) (/ -1 s))
(- (+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))) (/ x s))
(/ 1 (- (+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))) (/ x s)))
(+ 2 (* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x)))
(* (/ (- 1/2 (/ (* x 1/6) s)) (* s s)) (* x x))
(* x (/ 1/2 (* s s)))
(/ 1/2 (* s s))
(* x 1/6)
(/ (* x 1/6) s)
Outputs
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(exp.f32 (*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) #s(literal -1 binary32))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal -1 binary32))
(neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (exp.f32 (/.f32 x s)))) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal 1 binary32))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(*.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal 1 binary32))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #s(literal -1 binary32))
(neg.f32 (neg.f32 (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x s))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 x) #s(literal 1 binary32)) (/.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 1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 #s(literal 0 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))
(/.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(*.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(*.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))
(*.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32))
(neg.f32 s)
(+.f32 (neg.f32 s) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 s))
(pow.f32 (neg.f32 s) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) s)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s))
(/.f32 s #s(literal -1 binary32))
(/.f32 (neg.f32 s) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 s))
(*.f32 #s(literal -1 binary32) s)
(*.f32 s #s(literal -1 binary32))
(*.f32 (neg.f32 s) #s(literal 1 binary32))
(neg.f32 (/.f32 s x))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 s (neg.f32 x)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32)) (/.f32 s (neg.f32 x)))
(pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 s (neg.f32 x))
(/.f32 s (*.f32 #s(literal 1 binary32) (neg.f32 x)))
(/.f32 s (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (neg.f32 s) x)
(/.f32 (/.f32 s (neg.f32 x)) #s(literal 1 binary32))
(/.f32 (/.f32 s x) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 x s)) x) (/.f32 (*.f32 x x) s))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) x) (*.f32 x s)) (*.f32 x x))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 x)) (*.f32 x (neg.f32 s))) (*.f32 x (neg.f32 x)))
(*.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x)))
(*.f32 #s(literal -1 binary32) (/.f32 s x))
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(*.f32 s (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 s (neg.f32 x)) #s(literal 1 binary32))
(*.f32 (/.f32 s x) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(*.f32 (/.f32 #s(literal -1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) s)
(neg.f32 (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) x)))
(neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) x))))
(neg.f32 (*.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) x) (neg.f32 s)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 x (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))))))
(exp.f32 (*.f32 (log.f32 (/.f32 x (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))))) #s(literal -1 binary32)))
(+.f32 (/.f32 s (neg.f32 x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 s (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(+.f32 (/.f32 s (neg.f32 x)) (*.f32 (/.f32 s (/.f32 (/.f32 x s) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 s (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 s (neg.f32 x)))
(+.f32 (*.f32 (/.f32 s (/.f32 (/.f32 x s) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 s (neg.f32 x)))
(pow.f32 (/.f32 x (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) x)))
(-.f32 (/.f32 (/.f32 s (/.f32 (/.f32 x s) #s(literal -2 binary32))) x) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))))))
(/.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))))
(/.f32 s (/.f32 x (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) (/.f32 x s))
(/.f32 (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))) x)
(/.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))))))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 x s))
(/.f32 (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32)) (neg.f32 x))
(/.f32 (/.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))) #s(literal -1 binary32)) x)
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))) x))
(*.f32 #s(literal -1 binary32) (*.f32 s (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) x)))
(*.f32 s (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) x))
(*.f32 (neg.f32 s) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) x))
(*.f32 (neg.f32 s) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) (neg.f32 x)))
(*.f32 (neg.f32 s) (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))) (/.f32 s x))
(*.f32 (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))) x) #s(literal 1 binary32))
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 s x) (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 #s(literal -1 binary32) (/.f32 s (/.f32 x #s(literal 2 binary32)))))) #s(literal -1 binary32)))
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(/.f32 (/.f32 x (/.f32 s #s(literal 1/2 binary32))) s)
(/.f32 (*.f32 (/.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 s s))
(/.f32 (*.f32 (/.f32 x #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 s (/.f32 #s(literal -1 binary32) s)))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (/.f32 (*.f32 s s) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal -2 binary32) (*.f32 s s)))
(/.f32 (/.f32 (/.f32 x #s(literal -2 binary32)) #s(literal -1 binary32)) (*.f32 s s))
(/.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) s)
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 #s(literal -2 binary32) x))
(/.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s s))) #s(literal -2 binary32))
(/.f32 (/.f32 (/.f32 x (/.f32 s #s(literal 1/2 binary32))) #s(literal 1 binary32)) s)
(*.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s (/.f32 #s(literal 1/2 binary32) s))))
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x #s(literal -2 binary32)) (*.f32 s s)))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
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(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
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(*.f32 (neg.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1/2 binary32) s)))
(*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) x))
(*.f32 #s(literal -1/2 binary32) (/.f32 x (/.f32 s (/.f32 #s(literal -1 binary32) s))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x (/.f32 s #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 x #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)) (/.f32 #s(literal -1/2 binary32) s))
(*.f32 (/.f32 x #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))
(*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 (/.f32 x (/.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (/.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) (/.f32 x s))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(*.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x (/.f32 s (/.f32 #s(literal -1 binary32) s))) #s(literal -1/2 binary32))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))
(neg.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 s)))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (/.f32 #s(literal 1/2 binary32) s))))
(exp.f32 (*.f32 (log.f32 (/.f32 s (/.f32 #s(literal 1/2 binary32) s))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/2 binary32) s)))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 s s) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 s #s(literal 1/2 binary32)) (neg.f32 s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/.f32 #s(literal -1/2 binary32) (/.f32 s (/.f32 #s(literal -1 binary32) s)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal 2 binary32))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) s)
(/.f32 (/.f32 #s(literal -1/2 binary32) s) (neg.f32 s))
(/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) #s(literal -1 binary32))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) s)) (neg.f32 s))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (neg.f32 s))
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(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
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(*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal -1/2 binary32))
(*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) #s(literal -1 binary32))
(*.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) s) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(neg.f32 (*.f32 x #s(literal -1/6 binary32)))
(neg.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) #s(literal -1 binary32)))
(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -1/6 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 6 binary32) x))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) #s(literal 1 binary32))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/6 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 x #s(literal -1/6 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) #s(literal -1 binary32)))
(*.f32 x #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) x)
(*.f32 (*.f32 x #s(literal 1/6 binary32)) #s(literal 1 binary32))
(*.f32 (neg.f32 x) #s(literal -1/6 binary32))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1/6 binary32) (neg.f32 x))
(neg.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x #s(literal 1/6 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x #s(literal 1/6 binary32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x #s(literal 1/6 binary32))))
(/.f32 #s(literal -1 binary32) (/.f32 s (*.f32 x #s(literal -1/6 binary32))))
(/.f32 x (/.f32 s #s(literal 1/6 binary32)))
(/.f32 #s(literal 1/6 binary32) (/.f32 s x))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(/.f32 (*.f32 x #s(literal -1/6 binary32)) (neg.f32 s))
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(/.f32 #s(literal -1/6 binary32) (/.f32 s (neg.f32 x)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 s))
(/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) #s(literal -1 binary32)) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 x (/.f32 s #s(literal 1/6 binary32))))
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(*.f32 x (/.f32 #s(literal 1/6 binary32) s))
(*.f32 (/.f32 x s) #s(literal 1/6 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x #s(literal -1/6 binary32)))
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(*.f32 #s(literal 1/6 binary32) (/.f32 x s))
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(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x #s(literal 1/6 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 6 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)) #s(literal -1/6 binary32))
(*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal 1/6 binary32) s) x)
(*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(*.f32 (/.f32 #s(literal -1/6 binary32) s) (neg.f32 x))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1/6 binary32))) (/.f32 #s(literal -1 binary32) s))
(*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))

simplify330.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4136×*-lowering-*.f32
4136×*-lowering-*.f64
2906×+-lowering-+.f64
2906×+-lowering-+.f32
1352×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06494907
121934258
082294258
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
-1
(- (/ x s) 1)
(- (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) 1)
(- (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))) 1)
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
(/ -1 (exp (/ x s)))
-1
(- (/ x s) 1)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (pow x 2)) (pow s 2))) (+ 1 (* -1 (/ x s))))
(- (* -1 (/ (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ 1 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))
-1
(- (/ x s) 1)
(- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) s)) (/ (pow x 2) s)) x) s)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (/ (* x (+ (* -1/2 (pow x 2)) (pow x 2))) s))) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) x) s)) 1)
1
(+ 1 (/ x s))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
1
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(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1
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(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
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(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* -2 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -2 (/ (pow s 2) (pow x 2)))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* -2 (/ (pow s 2) (pow x 2)))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
(/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))
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(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
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(+ (* -2 (/ (pow s 2) x)) (* -1 s))
-1
(- (* -2 (/ s x)) 1)
(- (* -2 (/ s x)) 1)
(- (* -2 (/ s x)) 1)
(* -2 (/ s x))
(* -1 (* s (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* s (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -1 (* s (+ (* 2 (/ 1 x)) (/ 1 s))))
(* -2 (/ s x))
(* -1 (* s (+ (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* s (+ (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* s (+ (/ 1 s) (* 2 (/ 1 x)))))
(* -2 (/ s x))
(/ (+ (* -2 s) (* -1 x)) x)
(/ (+ (* -2 s) (* -1 x)) x)
(/ (+ (* -2 s) (* -1 x)) x)
-1
(- (* -2 (/ s x)) 1)
(- (* -2 (/ s x)) 1)
(- (* -2 (/ s x)) 1)
-1
(- (* -2 (/ s x)) 1)
(- (* -2 (/ s x)) 1)
(- (* -2 (/ s x)) 1)
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -2 (/ s x))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ x (pow s 2)))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (/ x s))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) (* -1 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))
(+ 2 (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (/ 2 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (/ 2 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))))) (pow s 3))
2
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(/ 1/2 (pow s 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
(* 1/6 (/ x s))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x x) s) s) s)) (/.f32 #s(literal 1/4 binary32) s))))
(+ 1/2 (* x (+ (* (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 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
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1
#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 1/2 binary32)
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#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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(neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 2 binary32) (*.f32 x x))) x)) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 2 binary32) (*.f32 x x))) x)) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))))) (pow s 3))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) (*.f32 s s))))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))))) (pow s 3))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) (*.f32 s s))))) (*.f32 s (*.f32 s s)))
2
#s(literal 2 binary32)
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
2
#s(literal 2 binary32)
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(* 1/2 (/ x (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 x)
(*.f32 x #s(literal 1/6 binary32))
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)
(* 1/6 (/ x s))
(/.f32 (*.f32 x #s(literal 1/6 binary32)) s)

eval111.0ms (0.9%)

Compiler

Compiled 21612 to 3570 computations (83.5% saved)

prune206.0ms (1.7%)

Pruning

45 alts after pruning (36 fresh and 9 done)

PrunedKeptTotal
New1251211272
Fresh81523
Picked145
Done055
Total1260451305
Accuracy
100.0%
Counts
1305 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
34.6%
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
16.1%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
16.1%
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
18.1%
(/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))))) (*.f32 s (*.f32 s s)))
31.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
28.4%
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
30.6%
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
30.6%
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
✓16.1%
(/.f32 (neg.f32 s) x)
30.0%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
30.7%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
31.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
29.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
17.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
31.3%
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
30.9%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 s s) (/.f32 s (*.f32 x #s(literal 1/6 binary32))))) (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 x s)))
53.9%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (/.f32 x s)))
✓54.2%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
55.5%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (/.f32 x (*.f32 s s)))) (/.f32 x s)))
52.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
✓38.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
62.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s)) x) s)))))
62.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
61.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
61.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
53.9%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x x) (/.f32 s (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x) s) #s(literal 2 binary32)))
48.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
54.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
52.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
✓54.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal -1 binary32) s)))))
52.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
47.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 s (+.f32 (neg.f32 s) (/.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
17.5%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
26.1%
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
26.1%
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
28.9%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
16.1%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
28.2%
(*.f32 s (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
32.5%
(*.f32 #s(literal -2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
✓99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
✓35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 2114 to 937 computations (55.7% saved)

regimes175.0ms (1.4%)

Counts
79 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x x) (/.f32 s (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 s (+.f32 (neg.f32 s) (/.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (/.f32 x (*.f32 s s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 s (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) s)) s)) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal 1/6 binary32))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (-.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1/6 binary32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s s)) (*.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s x)))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) s) (*.f32 x (*.f32 #s(literal -1/6 binary32) s))) x) (*.f32 s (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 s s) (/.f32 s (*.f32 x #s(literal 1/6 binary32))))) (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 s s)))) x) (*.f32 s (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
Calls

7 calls:

41.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
24.0ms
s
21.0ms
(neg.f32 x)
21.0ms
(/.f32 (neg.f32 x) s)
21.0ms
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)

regimes145.0ms (1.2%)

Counts
77 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x x) (/.f32 s (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 s (+.f32 (neg.f32 s) (/.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (/.f32 x (*.f32 s s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 s (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) s)) s)) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal 1/6 binary32))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (-.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1/6 binary32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s s)) (*.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s x)))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) s) (*.f32 x (*.f32 #s(literal -1/6 binary32) s))) x) (*.f32 s (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 s s) (/.f32 s (*.f32 x #s(literal 1/6 binary32))))) (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 s s)))) x) (*.f32 s (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
Calls

7 calls:

22.0ms
(/.f32 (neg.f32 x) s)
21.0ms
x
20.0ms
s
20.0ms
(neg.f32 x)
20.0ms
(/.f32 #s(literal 1 binary32) (+.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)

regimes200.0ms (1.6%)

Counts
76 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x x) (/.f32 s (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 s (+.f32 (neg.f32 s) (/.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (/.f32 x (*.f32 s s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 s (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) s)) s)) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal 1/6 binary32))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (-.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1/6 binary32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s s)) (*.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s x)))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) s) (*.f32 x (*.f32 #s(literal -1/6 binary32) s))) x) (*.f32 s (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 s s) (/.f32 s (*.f32 x #s(literal 1/6 binary32))))) (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 s s)))) x) (*.f32 s (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

43.0ms
(neg.f32 x)
31.0ms
(/.f32 (neg.f32 x) s)
30.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
28.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
23.0ms
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)

regimes48.0ms (0.4%)

Counts
75 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x x) (/.f32 s (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 s (+.f32 (neg.f32 s) (/.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (/.f32 x (*.f32 s s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 s (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) s)) s)) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal 1/6 binary32))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (-.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1/6 binary32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s)) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s s)) (*.f32 s (/.f32 #s(literal -1/6 binary32) (/.f32 s x)))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) s) (*.f32 x (*.f32 #s(literal -1/6 binary32) s))) x) (*.f32 s (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 s s) (/.f32 s (*.f32 x #s(literal 1/6 binary32))))) (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 s s)))) x) (*.f32 s (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s)) x) s)))))
Calls

2 calls:

21.0ms
x
20.0ms
s
Results
AccuracySegmentsBranch
94.0%2x
62.6%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts
69 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x x) (/.f32 s (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 s (+.f32 (neg.f32 s) (/.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (/.f32 x (*.f32 s s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 s (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) s)) s)) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s)) (neg.f32 s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal 1/6 binary32))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (-.f32 (/.f32 x (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1/6 binary32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
93.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts
63 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x x) (/.f32 s (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 s (+.f32 (neg.f32 s) (/.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (/.f32 x (*.f32 s s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 s (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) s)) s)) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s)) s)))
(/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) s)) s)) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
93.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts
57 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x x) (/.f32 s (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 s (+.f32 (neg.f32 s) (/.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) (/.f32 x (*.f32 s s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/6 binary32)) s)) (*.f32 s s)) (*.f32 x x))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 s (*.f32 (*.f32 s s) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
93.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts
50 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x x) (/.f32 s (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 s (+.f32 (neg.f32 s) (/.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
91.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes196.0ms (1.6%)

Counts
45 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) (/.f32 x s)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s)))))
Calls

1 calls:

193.0ms
x
Results
AccuracySegmentsBranch
90.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
43 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 (/.f32 x (/.f32 s x)) #s(literal -1/48 binary32)) (/.f32 x s))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) (/.f32 x (/.f32 s x)))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)) s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
89.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts
38 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s) (*.f32 s s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)))) s))
(+.f32 (/.f32 (*.f32 x (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x (/.f32 s (*.f32 x #s(literal -1/48 binary32)))) s))) s) #s(literal 1/2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
92.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
34 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
Outputs
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
92.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
30 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
Outputs
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
91.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
29 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s) s))
(/.f32 (*.f32 s (+.f32 (/.f32 s (/.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(*.f32 s (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x))) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
Outputs
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
91.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
88.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

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

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
85.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
(/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) x)
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
(/.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) x) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s))))
Outputs
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x)
#s(literal 1/2 binary32)
Calls

2 calls:

7.0ms
s
6.0ms
x
Results
AccuracySegmentsBranch
46.2%2s
58.7%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
58.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(*.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 (*.f32 #s(literal 2 binary32) s) x) s))
Outputs
(*.f32 #s(literal -2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x))
#s(literal 1/2 binary32)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
58.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 1/2 binary32)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
46.9%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 (/.f32 #s(literal -1 binary32) x) s)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
Outputs
(/.f32 #s(literal -1 binary32) (/.f32 x s))
#s(literal 1/2 binary32)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
46.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

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

2 calls:

3.0ms
s
2.0ms
x
Results
AccuracySegmentsBranch
35.0%1s
44.9%2x
Compiler

Compiled 6 to 4 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
35.0%1s
35.0%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
-1.3915139054739655e-25
-4.657275471499854e-26
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
0.0ms
-3.023432944434211e-14
-1.7336866017702494e-15
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
0.0ms
-3.023432944434211e-14
-1.7336866017702494e-15
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
0.0ms
-3.023432944434211e-14
-1.7336866017702494e-15
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
0.0ms
-3.023432944434211e-14
-1.7336866017702494e-15
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3915139054739655e-25
-4.657275471499854e-26
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.1273416821186433e-22
-1.0772232504399446e-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
-1.1273416821186433e-22
-1.0772232504399446e-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
-1.1273416821186433e-22
-1.0772232504399446e-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
-1.1273416821186433e-22
-1.0772232504399446e-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
1.1021384487052682e-31
2.7648457030351883e-31
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-3.023432944434211e-14
-1.7336866017702494e-15
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-3.023432944434211e-14
-1.7336866017702494e-15
Compiler

Compiled 16 to 12 computations (25% saved)

simplify102.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
836×distribute-lft-neg-in_binary32
634×unsub-neg_binary32
512×neg-mul-1_binary32
442×neg-sub0_binary32
344×sub-neg_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0156660
1238660
2302659
3376659
4499659
5738659
61148659
71771659
82322659
92671659
102824659
112877659
122884659
132884659
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s)) x) s))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) s) s)) s)) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) (if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))) (if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))) (if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x))) (if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(if (<=.f32 x #s(literal -15845633/158456325028528675187087900672 binary32)) (/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(if (<=.f32 x #s(literal -15845633/158456325028528675187087900672 binary32)) (/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) x) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15845633/158456325028528675187087900672 binary32)) (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15845633/158456325028528675187087900672 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (-.f32 #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 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s))) (neg.f32 s)) x) s))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) s))) s)) s))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s))))))
(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x 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 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s))))))
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(if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s) x) s))))))
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(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))) (if (<=.f32 x #s(literal -2028241/20282409603651670423947251286016 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
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(if (<=.f32 x #s(literal -15845633/158456325028528675187087900672 binary32)) (/.f32 (*.f32 s (*.f32 s #s(literal -2 binary32))) (*.f32 x x)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -15845633/158456325028528675187087900672 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 (*.f32 s s) x) x)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 8507059/42535295865117307932921825928971026432 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -2951479/147573952589676412928 binary32)) (/.f32 s (neg.f32 x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)

soundness3.0s (24.6%)

Rules
4900×*-lowering-*.f32
4900×*-lowering-*.f64
4576×*-lowering-*.f32
4576×*-lowering-*.f64
4136×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140619
1405573
21415570
35776570
08530570
05245165
116204606
257824474
084274474
06375246
120614449
275894420
080054420
0822
13122
211022
339322
0119122
044245
1181230
21138208
09224208
040199
1159193
2735192
35045190
08158190
06494907
121934258
082294258
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×iter limit
1×iter limit
1×unsound
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1752 to 925 computations (47.2% saved)

preprocess92.0ms (0.7%)

Compiler

Compiled 1348 to 324 computations (76% saved)

end0.0ms (0%)

Profiling

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