Logistic function

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze48.0ms (1%)

Memory
13.9MiB live, 57.8MiB allocated; 11ms collecting garbage
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 17 to 14 computations (17.6% saved)

sample1.2s (27%)

Memory
21.7MiB live, 1 781.9MiB allocated; 474ms collecting garbage
Samples
862.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 645.0ms
const: 239.0ms (37.1% of total)
ival-div: 155.0ms (24% of total)
ival-exp: 71.0ms (11% of total)
ival-<=: 54.0ms (8.4% of total)
ival-neg: 51.0ms (7.9% of total)
ival-add: 45.0ms (7% of total)
ival-and: 12.0ms (1.9% of total)
exact: 11.0ms (1.7% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain111.0ms (2.4%)

Memory
-22.4MiB live, 154.1MiB allocated; 52ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
02(6.6089591134251e-33 1.8448720898667912e-35)0-(exp.f32 (/.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 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity21
Confusion
Predicted +Predicted -
+00
-2254
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-21253
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
42.0ms512×0valid
Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-exp: 17.0ms (56.9% of total)
ival-div: 7.0ms (23.4% of total)
ival-neg: 3.0ms (10% of total)
ival-add: 2.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess199.0ms (4.3%)

Memory
35.2MiB live, 224.7MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041
15041
210441
324741
488341
089
0139
1219
2439
31189
44279
547139
085159
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.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))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
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 9 to 8 computations (11.1% saved)

series11.0ms (0.2%)

Memory
-27.7MiB live, 18.5MiB allocated; 3ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
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)))))
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 (* -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 (/ x s))
(* -1 x)
x
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
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))))))
(+ 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))))))
(+ 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))))))
(+ 1/2 (* -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 (* -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 (/ (+ 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)))
Calls

6 calls:

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

simplify217.0ms (4.7%)

Memory
13.1MiB live, 152.3MiB allocated; 95ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140379
1435347
21799343
09323315
Stop Event
1×iter limit
1×node limit
Counts
31 → 29
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)))))
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 (* -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 (/ x s))
(* -1 x)
x
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
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))))))
(+ 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))))))
(+ 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))))))
(+ 1/2 (* -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 (* -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 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
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))))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
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))))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
x
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
s
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))

rewrite63.0ms (1.4%)

Memory
-10.0MiB live, 37.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01330
14330
025430
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
8 → 49
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
#s(literal 1 binary32)
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (*.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 x s))
(neg.f32 x)
x
s

eval5.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 179 to 253 computations (78.5% saved)

prune7.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New63871
Fresh000
Picked011
Done000
Total63972
Accuracy
100.0%
Counts
72 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.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)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
58.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶55.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
55.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
▶43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
30.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶35.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 365 to 248 computations (32.1% saved)

series117.0ms (2.5%)

Memory
23.9MiB live, 113.5MiB allocated; 10ms collecting garbage
Counts
37 → 182
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)))
(pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32))
(cosh.f32 (/.f32 x s))
#s(literal 3 binary32)
(pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))
(sinh.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
(fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
Outputs
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)))))
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 (* -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 (/ 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))))
(/ x s)
x
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* 1/2 (/ x (pow s 2)))
(+ 1 (* 3/2 (/ (pow x 2) (pow s 2))))
(+ 1 (* (pow x 2) (+ (* -1 (/ x (pow s 3))) (* 3/2 (/ 1 (pow s 2))))))
(+ 1 (* (pow x 2) (+ (* x (- (* 7/8 (/ x (pow s 4))) (/ 1 (pow s 3)))) (* 3/2 (/ 1 (pow s 2))))))
(+ 1 (* (pow x 2) (+ (* 7/8 (/ (pow x 2) (pow s 4))) (* 3/2 (/ 1 (pow s 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 7/8 (/ 1 (pow s 4))) (* (pow x 2) (+ (* 17/80 (/ 1 (pow s 6))) (* 1/24 (/ 1 (pow s 6))))))) (* 3/2 (/ 1 (pow s 2))))))
(+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* -1/2 (/ (pow x 2) (pow s 5))) (/ 1 (pow s 3))))
(* (pow x 3) (- (* (pow x 2) (- (* -13/120 (/ (pow x 2) (pow s 7))) (* 1/2 (/ 1 (pow s 5))))) (/ 1 (pow s 3))))
(* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -41/3024 (/ (pow x 2) (pow s 9))) (* 13/120 (/ 1 (pow s 7))))) (* 1/2 (/ 1 (pow s 5))))) (/ 1 (pow s 3))))
(* -1 (/ x s))
(* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(* x (- (* (pow x 2) (- (* -1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(* -1 x)
(+ 1 (* x (+ (* 2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (+ (* x (+ (* 2/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (/ 1 s))))
(* x (+ (/ 1 s) (/ x (pow s 2))))
(* x (+ (* x (+ (* 2/3 (/ x (pow s 3))) (/ 1 (pow s 2)))) (/ 1 s)))
(* x (+ (* x (+ (* x (+ (* 1/3 (/ x (pow s 4))) (* 2/3 (/ 1 (pow s 3))))) (/ 1 (pow s 2)))) (/ 1 s)))
(/ (pow x 2) (pow s 2))
(* (pow x 2) (+ (* 1/3 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))
(* (pow x 2) (+ (* (pow x 2) (+ (* 2/45 (/ (pow x 2) (pow s 6))) (* 1/3 (/ 1 (pow s 4))))) (/ 1 (pow s 2))))
(* (pow x 2) (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/315 (/ (pow x 2) (pow s 8))) (* 2/45 (/ 1 (pow s 6))))) (* 1/3 (/ 1 (pow s 4))))) (/ 1 (pow s 2))))
(* x (- (* -2/3 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(* x (- (* (pow x 2) (- (* -2/15 (/ (pow x 2) (pow s 5))) (* 2/3 (/ 1 (pow s 3))))) (/ 1 s)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* 1/720 (/ 1 (pow s 7))) (* 19/1680 (/ 1 (pow s 7)))))) (* 2/15 (/ 1 (pow s 5))))) (* 2/3 (/ 1 (pow s 3))))) (/ 1 s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (exp (/ x s)))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* x (- (* 2 (/ 1 x)) (/ 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))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(/ 1 (+ 1 (+ (* 1/8 (/ (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 3) (- (+ (* 1/4 (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 2)) (* 1/4 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 2))) (* 1/4 (* (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s)))))))))) (* 1/8 (/ (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 3) (- (+ (* 1/4 (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 2)) (* 1/4 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 2))) (* 1/4 (* (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s)))))))))))))
(+ 1 (+ (* 1/8 (/ (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 3) (- (+ (* 1/4 (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 2)) (* 1/4 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 2))) (* 1/4 (* (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s)))))))))) (* 1/8 (/ (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 3) (- (+ (* 1/4 (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 2)) (* 1/4 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 2))) (* 1/4 (* (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))))))))))
(/ (+ (* 1/8 (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 3)) (* 1/8 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 3))) (- (+ (* 1/4 (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 2)) (* 1/4 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 2))) (* 1/4 (* (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s)))))))))
(+ (* 1/8 (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 3)) (* 1/8 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 3)))
(* 1/8 (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 3))
(* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))
(* 1/8 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 3))
(* 1/2 (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))))
(- (+ (* 1/4 (pow (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) 2)) (* 1/4 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 2))) (* 1/4 (* (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))))))
(- (* 1/4 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 2)) (* 1/4 (* (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))))))
(* 1/4 (pow (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))) 2))
(* 1/4 (* (+ (exp (/ x s)) (/ 1 (exp (/ x s)))) (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s)))))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
s
(/ (- (* 2 s) x) s)
(/ (+ (* -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 s) (* 1/2 x)) (pow s 2))
(/ 1/2 (pow s 2))
(pow s 2)
(/ 1 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))))))
(- (+ 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))))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(+ 1 (+ (* 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))))
(- (+ 1/2 (* -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))))))
(+ 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))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
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Calls

6 calls:

TimeVariablePointExpression
33.0ms
s
@inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* s s) (/ 1 s) (/ 1 (+ 1 (/ (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s)))))))) (+ 1 (/ (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s))))))) (/ (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s)))))) (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (pow (cosh (/ x s)) 3) (cosh (/ x s)) 3 (pow (sinh (/ (neg x) s)) 3) (sinh (/ (neg x) s)) (/ (neg x) s) (neg x) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s))))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s)))) (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s))))
28.0ms
x
@inf
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17.0ms
s
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* s s) (/ 1 s) (/ 1 (+ 1 (/ (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s)))))))) (+ 1 (/ (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s))))))) (/ (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s)))))) (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (pow (cosh (/ x s)) 3) (cosh (/ x s)) 3 (pow (sinh (/ (neg x) s)) 3) (sinh (/ (neg x) s)) (/ (neg x) s) (neg x) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s))))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s)))) (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s))))
12.0ms
x
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* s s) (/ 1 s) (/ 1 (+ 1 (/ (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s)))))))) (+ 1 (/ (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s))))))) (/ (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s)))))) (+ (pow (cosh (/ x s)) 3) (pow (sinh (/ (neg x) s)) 3)) (pow (cosh (/ x s)) 3) (cosh (/ x s)) 3 (pow (sinh (/ (neg x) s)) 3) (sinh (/ (neg x) s)) (/ (neg x) s) (neg x) (+ (* (cosh (/ x s)) (cosh (/ x s))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s))))) (- (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s)))) (* (sinh (/ (neg x) s)) (sinh (/ (neg x) s))) (* (cosh (/ x s)) (sinh (/ (neg x) s))))
10.0ms
s
@0
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simplify211.0ms (4.6%)

Memory
8.8MiB live, 289.6MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011218695
139118460
090017913
Stop Event
1×iter limit
1×node limit
Counts
182 → 180
Calls
Call 1
Inputs
1/2
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2
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1
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x
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s
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(* -1/2 (/ (- x (* -1 x)) s))
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Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
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(/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 x (neg.f32 x)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 x (neg.f32 x))))) (neg.f32 s))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) #s(literal 1/2 binary32))) (neg.f32 s)) (*.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (+ (* -1/4 (* (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (- x (* -1 x)))) (+ (* 1/4 (* (pow x 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))))) s)) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/4 (* (pow x 2) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) s)) (* 1/4 (pow (- x (* -1 x)) 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- x (* -1 x)))) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32)) (-.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) (*.f32 (pow.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (fma.f32 (*.f32 (-.f32 x (neg.f32 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)))) #s(literal -1/4 binary32) (fma.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))))) (neg.f32 s))) (fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 x (neg.f32 x))))) s) #s(literal -1 binary32) (fma.f32 (pow.f32 (-.f32 x (neg.f32 x)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))) (neg.f32 s)) (*.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32))) (neg.f32 s))
(* 1/4 (/ (pow (- x (* -1 x)) 2) (pow s 2)))
(*.f32 (/.f32 (pow.f32 (-.f32 x (neg.f32 x)) #s(literal 2 binary32)) s) (/.f32 #s(literal 1/4 binary32) s))
(/ (+ (* -1/2 (/ (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) s)) (* 1/4 (pow (- x (* -1 x)) 2))) (pow s 2))
(/.f32 (fma.f32 (*.f32 (-.f32 x (neg.f32 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 x (neg.f32 x)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (*.f32 s s))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) s)) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/4 (pow (- x (* -1 x)) 2))) (pow s 2))
(/.f32 (fma.f32 (pow.f32 (-.f32 x (neg.f32 x)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (fma.f32 (*.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32)) (-.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) (*.f32 (pow.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (neg.f32 s))) (neg.f32 s))) (*.f32 s s))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))) s)) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/4 (pow (- x (* -1 x)) 2))) (pow s 2))
(/.f32 (fma.f32 (pow.f32 (-.f32 x (neg.f32 x)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))) (-.f32 x (neg.f32 x)) (*.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))) s) #s(literal -1 binary32) (fma.f32 (*.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32)) (-.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) (*.f32 (pow.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 1/4 binary32)))) (neg.f32 s))) (neg.f32 s))) (*.f32 s s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow x 2) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- x (* -1 x)))) s))
(/.f32 (fma.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 x (neg.f32 x)))) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (- x (* -1 x)))) (+ (* 1/4 (* (pow x 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4))))))))) s)) (+ (* 1/4 (* (pow x 2) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- x (* -1 x)))) s))
(/.f32 (fma.f32 (-.f32 x (neg.f32 x)) #s(literal 1/2 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 x (neg.f32 x)) (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)))) #s(literal -1/4 binary32) (fma.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)))))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))) s) #s(literal -1 binary32) (fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 x (neg.f32 x))))) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))

rewrite113.0ms (2.5%)

Memory
-36.3MiB live, 198.5MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042430
072286
1287282
02108282
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
37 → 505
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)))
(pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32))
(cosh.f32 (/.f32 x s))
#s(literal 3 binary32)
(pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))
(sinh.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
(fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
#s(literal 1 binary32)
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
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(fma.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (neg.f32 (cosh.f32 (/.f32 x s))) (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)) (fma.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))))
(fma.f32 (fabs.f32 (cosh.f32 (/.f32 x s))) (fabs.f32 (cosh.f32 (/.f32 x s))) (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (fabs.f32 (sinh.f32 (/.f32 x s))) (fabs.f32 (sinh.f32 (/.f32 x s))) (fma.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))))
(fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (neg.f32 (cosh.f32 (/.f32 x s)))) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)) (fma.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))))
(fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 6 binary32)) (fma.f32 (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) (-.f32 (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 4 binary32)))) (/.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) #s(literal 3 binary32)) (fma.f32 (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) (-.f32 (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 4 binary32)))))
(+.f32 (cosh.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (*.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(+.f32 (cosh.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)))
(+.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (fma.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))))
(*.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (neg.f32 (cosh.f32 (/.f32 x s)))))
(*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))) #s(literal 2 binary32))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)) (pow.f32 (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) #s(literal 3 binary32))) (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) (-.f32 (pow.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32)))) (neg.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (-.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) #s(literal 3 binary32))) (fma.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32))))
(-.f32 (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (pow.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)) (fma.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)))) (/.f32 (pow.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) #s(literal 3 binary32)) (fma.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)))))
(-.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (neg.f32 (neg.f32 (cosh.f32 (/.f32 x s)))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))
(fma.f32 (neg.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (neg.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (*.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(fma.f32 (neg.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (neg.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (fabs.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (fabs.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (*.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(fma.f32 (fabs.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (fabs.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(fma.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 (neg.f32 x) s)) (*.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(fma.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 (neg.f32 x) s)) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)) (*.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(fma.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (fabs.f32 (sinh.f32 (/.f32 x s))) (fabs.f32 (sinh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(fma.f32 (fabs.f32 (sinh.f32 (/.f32 x s))) (fabs.f32 (sinh.f32 (/.f32 x s))) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (neg.f32 (cosh.f32 (/.f32 x s))) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)) (*.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)))
(+.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(+.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (neg.f32 (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (neg.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (neg.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))))
(*.f32 (fabs.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))) (fabs.f32 (fabs.f32 (sinh.f32 (/.f32 x s)))))
(*.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(*.f32 (fabs.f32 (sinh.f32 (/.f32 x s))) (fabs.f32 (sinh.f32 (/.f32 x s))))
(*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) (sinh.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4 binary32))
(pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 (sinh.f32 (/.f32 x s))) #s(literal 2 binary32))
(pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))
(fabs.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (sinh.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(neg.f32 (*.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(neg.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 x s))))
(*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))
(*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s)))) #s(literal 2 binary32))
(/.f32 (*.f32 (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s)))) #s(literal 4 binary32))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4 binary32))

eval99.0ms (2.1%)

Memory
15.4MiB live, 205.2MiB allocated; 44ms collecting garbage
Compiler

Compiled 43 223 to 4 169 computations (90.4% saved)

prune22.0ms (0.5%)

Memory
12.0MiB live, 59.1MiB allocated; 2ms collecting garbage
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New74712759
Fresh123
Picked145
Done011
Total74919768
Accuracy
100.0%
Counts
768 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
58.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
59.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
54.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))))
▶46.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
▶59.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
58.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓55.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶57.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
▶59.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
55.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
✓43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
52.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
32.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s)))))
▶30.2%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓35.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 873 to 609 computations (30.2% saved)

series33.0ms (0.7%)

Memory
0.0MiB live, 50.5MiB allocated; 10ms collecting garbage
Counts
41 → 69
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))
(fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))
(neg.f32 s)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s))
(-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(*.f32 #s(literal 1/2 binary32) x)
(*.f32 (*.f32 s s) #s(literal 1 binary32))
(*.f32 (*.f32 s s) s)
Outputs
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)))))
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 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x s))
x
(/ x s)
(* -1 s)
(- (* 1/2 x) s)
1
(+ 1 (* -1/2 (/ x s)))
(* -1 (pow s 2))
(- (* 1/2 (* s x)) (pow s 2))
(* 1/2 (* s x))
(* 1/2 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x 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))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ 1/2 (* -1 (/ s x))))
(* -1/2 (/ x s))
(* x (- (/ 1 x) (* 1/2 (/ 1 s))))
(* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ s x) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* x (+ (* -1/2 s) (/ (pow s 2) x))))
(/ (+ (* -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 s) (* 1/2 x)) (pow s 2))
(/ 1/2 s)
s
(/ 1 s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(+ (* -1 s) (* 1/2 x))
(pow s 2)
(/ (+ s (* -1/2 x)) s)
(* s (+ (* -1 s) (* 1/2 x)))
(pow s 3)
(- (+ 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))))))
(+ 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))))))
(/ (- (* 1/2 (/ x s)) 1) 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))))))
(* s (- (* 1/2 (/ x s)) 1))
(* (pow s 2) (- (* 1/2 (/ x s)) 1))
(+ 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 (* -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 (* -1/2 (/ x s))) 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)))
(* -1 (* s (+ 1 (* -1/2 (/ x s)))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ (* (/ 1/2 s) x) s) (* (/ 1/2 s) x) (/ 1/2 s) 1/2 s x (/ 1 s) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* 1/2 x) (neg s)) (* s s)) (+ (* 1/2 x) (neg s)) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (+ (* -1/2 (/ x s)) 1) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* 1/2 x) s) (* 1/2 x) (* (* s s) 1) (* (* s s) s))
5.0ms
x
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ (* (/ 1/2 s) x) s) (* (/ 1/2 s) x) (/ 1/2 s) 1/2 s x (/ 1 s) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* 1/2 x) (neg s)) (* s s)) (+ (* 1/2 x) (neg s)) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (+ (* -1/2 (/ x s)) 1) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* 1/2 x) s) (* 1/2 x) (* (* s s) 1) (* (* s s) s))
4.0ms
s
@-inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ (* (/ 1/2 s) x) s) (* (/ 1/2 s) x) (/ 1/2 s) 1/2 s x (/ 1 s) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* 1/2 x) (neg s)) (* s s)) (+ (* 1/2 x) (neg s)) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (+ (* -1/2 (/ x s)) 1) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* 1/2 x) s) (* 1/2 x) (* (* s s) 1) (* (* s s) s))
4.0ms
s
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ (* (/ 1/2 s) x) s) (* (/ 1/2 s) x) (/ 1/2 s) 1/2 s x (/ 1 s) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* 1/2 x) (neg s)) (* s s)) (+ (* 1/2 x) (neg s)) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (+ (* -1/2 (/ x s)) 1) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* 1/2 x) s) (* 1/2 x) (* (* s s) 1) (* (* s s) s))
4.0ms
x
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ (* (/ 1/2 s) x) s) (* (/ 1/2 s) x) (/ 1/2 s) 1/2 s x (/ 1 s) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* 1/2 x) (neg s)) (* s s)) (+ (* 1/2 x) (neg s)) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (+ (* -1/2 (/ x s)) 1) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* 1/2 x) s) (* 1/2 x) (* (* s s) 1) (* (* s s) s))

simplify633.0ms (13.7%)

Memory
-132.0MiB live, 325.0MiB allocated; 934ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0271836
1902690
23909658
08590616
Stop Event
1×iter limit
1×node limit
Counts
69 → 67
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)))))
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 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x s))
x
(/ x s)
(* -1 s)
(- (* 1/2 x) s)
1
(+ 1 (* -1/2 (/ x s)))
(* -1 (pow s 2))
(- (* 1/2 (* s x)) (pow s 2))
(* 1/2 (* s x))
(* 1/2 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x 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))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ 1/2 (* -1 (/ s x))))
(* -1/2 (/ x s))
(* x (- (/ 1 x) (* 1/2 (/ 1 s))))
(* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ s x) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* x (+ (* -1/2 s) (/ (pow s 2) x))))
(/ (+ (* -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 s) (* 1/2 x)) (pow s 2))
(/ 1/2 s)
s
(/ 1 s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(+ (* -1 s) (* 1/2 x))
(pow s 2)
(/ (+ s (* -1/2 x)) s)
(* s (+ (* -1 s) (* 1/2 x)))
(pow s 3)
(- (+ 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))))))
(+ 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))))))
(/ (- (* 1/2 (/ x s)) 1) 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))))))
(* s (- (* 1/2 (/ x s)) 1))
(* (pow s 2) (- (* 1/2 (/ x s)) 1))
(+ 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 (* -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 (* -1/2 (/ x s))) 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)))
(* -1 (* s (+ 1 (* -1/2 (/ x s)))))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
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))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
x
(/ x s)
(/.f32 x s)
(* -1 s)
(neg.f32 s)
(- (* 1/2 x) s)
(-.f32 (*.f32 #s(literal 1/2 binary32) x) s)
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(* -1 (pow s 2))
(*.f32 (neg.f32 s) s)
(- (* 1/2 (* s x)) (pow s 2))
(*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(* 1/2 (* s x))
(*.f32 (*.f32 s x) #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x)
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 1/4 (/ x s))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(* x (+ 1/2 (* -1 (/ s x))))
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) x)
(* -1/2 (/ x s))
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
(* x (- (/ 1 x) (* 1/2 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) x)
(* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))
(*.f32 (neg.f32 x) (*.f32 s (-.f32 (/.f32 s x) #s(literal 1/2 binary32))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s)) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 s x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(* -1 (* x (- (/ s x) 1/2)))
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) x)
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)))
(* -1 (* x (+ (* -1/2 s) (/ (pow s 2) x))))
(*.f32 (neg.f32 x) (*.f32 s (-.f32 (/.f32 s x) #s(literal 1/2 binary32))))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
s
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ (* -1 s) (* 1/2 x))
(-.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(pow s 2)
(*.f32 s s)
(/ (+ s (* -1/2 x)) s)
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(* s (+ (* -1 s) (* 1/2 x)))
(*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(pow s 3)
(pow.f32 s #s(literal 3 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal -2 binary32))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) 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)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(+.f32 (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) #s(literal -1/4 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/8 binary32)) #s(literal -1/2 binary32)))) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(* s (- (* 1/2 (/ x s)) 1))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(* (pow s 2) (- (* 1/2 (/ x s)) 1))
(*.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) s)
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/48 binary32) #s(literal 0 binary32)) s)) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal -2 binary32))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) 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)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 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)))
(-.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (-.f32 (fma.f32 #s(literal 0 binary32) x (/.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) #s(literal -1/4 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/8 binary32)) #s(literal -1/2 binary32))) s)) #s(literal 0 binary32)) s)) s) #s(literal -1/2 binary32))
(* -1 (* s (+ 1 (* -1/2 (/ x s)))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)

rewrite108.0ms (2.3%)

Memory
-8.4MiB live, 138.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055502
088455
1349437
02619416
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
41 → 572
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))
(fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))
(neg.f32 s)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s))
(-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(*.f32 #s(literal 1/2 binary32) x)
(*.f32 (*.f32 s s) #s(literal 1 binary32))
(*.f32 (*.f32 s s) s)
Outputs
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) #s(literal -1 binary32)))
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(fma.f32 (*.f32 (neg.f32 s) s) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) s))
(fma.f32 (fabs.f32 s) (neg.f32 (fabs.f32 s)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) s))
(fma.f32 #s(literal -1 binary32) (*.f32 s s) (*.f32 (*.f32 #s(literal 1/2 binary32) x) s))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) s (*.f32 (neg.f32 s) s))
(fma.f32 (*.f32 s s) #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) s))
(fma.f32 (neg.f32 s) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) s))
(fma.f32 #s(literal 1/2 binary32) (*.f32 s x) (*.f32 (neg.f32 s) s))
(fma.f32 s (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) s))
(fma.f32 s (neg.f32 s) (*.f32 (*.f32 #s(literal 1/2 binary32) x) s))
(fma.f32 x (*.f32 #s(literal 1/2 binary32) s) (*.f32 (neg.f32 s) s))
(fma.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s) (*.f32 (*.f32 #s(literal 1/2 binary32) x) s))
(+.f32 (*.f32 (neg.f32 s) s) (*.f32 (*.f32 #s(literal 1/2 binary32) x) s))
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (neg.f32 s) s))
(*.f32 (*.f32 s #s(literal 1/2 binary32)) x)
(*.f32 (*.f32 s x) #s(literal 1/2 binary32))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(*.f32 #s(literal 1/2 binary32) (*.f32 s x))
(*.f32 s (*.f32 #s(literal 1/2 binary32) x))
(*.f32 x (*.f32 #s(literal 1/2 binary32) s))
(*.f32 #s(literal 1/2 binary32) x)
(*.f32 x #s(literal 1/2 binary32))
(*.f32 (*.f32 (fabs.f32 s) #s(literal 1 binary32)) (*.f32 (fabs.f32 s) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (fabs.f32 s)) (*.f32 #s(literal 1 binary32) (fabs.f32 s)))
(*.f32 (*.f32 #s(literal 1 binary32) (fabs.f32 s)) (fabs.f32 s))
(*.f32 (*.f32 #s(literal 1 binary32) (neg.f32 s)) (*.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (*.f32 #s(literal 1 binary32) (neg.f32 s)) (neg.f32 s))
(*.f32 (*.f32 (neg.f32 s) #s(literal 1 binary32)) (*.f32 (neg.f32 s) #s(literal 1 binary32)))
(*.f32 (neg.f32 (fabs.f32 s)) (neg.f32 (fabs.f32 s)))
(*.f32 (fabs.f32 (fabs.f32 s)) (fabs.f32 (fabs.f32 s)))
(*.f32 (pow.f32 s #s(literal 1 binary32)) (pow.f32 s #s(literal 1 binary32)))
(*.f32 (pow.f32 s #s(literal 1 binary32)) s)
(*.f32 (fabs.f32 s) (*.f32 (fabs.f32 s) #s(literal 1 binary32)))
(*.f32 (fabs.f32 s) (fabs.f32 s))
(*.f32 (*.f32 s s) #s(literal 1 binary32))
(*.f32 (neg.f32 s) (*.f32 (neg.f32 s) #s(literal 1 binary32)))
(*.f32 (neg.f32 s) (neg.f32 s))
(*.f32 s s)
(*.f32 #s(literal 1 binary32) (*.f32 s s))
(pow.f32 (fabs.f32 s) #s(literal 2 binary32))
(pow.f32 (neg.f32 s) #s(literal 2 binary32))
(pow.f32 s #s(literal 2 binary32))
(fabs.f32 (*.f32 s s))
(exp.f32 (*.f32 (log.f32 s) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 s) s))
(*.f32 (*.f32 s (fabs.f32 s)) (fabs.f32 s))
(*.f32 (pow.f32 s #s(literal 3/2 binary32)) (pow.f32 s #s(literal 3/2 binary32)))
(*.f32 (*.f32 (neg.f32 s) s) (neg.f32 s))
(*.f32 (fabs.f32 s) (*.f32 (fabs.f32 s) s))
(*.f32 (pow.f32 s #s(literal 3 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 s s) s)
(*.f32 (neg.f32 s) (*.f32 (neg.f32 s) s))
(*.f32 s (*.f32 s s))
(*.f32 #s(literal 1 binary32) (pow.f32 s #s(literal 3 binary32)))
(pow.f32 s #s(literal 3 binary32))
(exp.f32 (*.f32 (log.f32 s) #s(literal 3 binary32)))

eval63.0ms (1.4%)

Memory
15.9MiB live, 120.9MiB allocated; 25ms collecting garbage
Compiler

Compiled 17 712 to 2 464 computations (86.1% saved)

prune25.0ms (0.5%)

Memory
24.1MiB live, 87.4MiB allocated; 8ms collecting garbage
Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New5117518
Fresh279
Picked325
Done055
Total51621537
Accuracy
100.0%
Counts
537 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
58.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
▶59.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶54.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))))
▶59.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
46.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
▶27.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
58.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓55.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
✓57.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
51.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
55.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
✓43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
36.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x))))
32.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s)))))
✓30.2%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
30.1%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
✓35.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 930 to 654 computations (29.7% saved)

series31.0ms (0.7%)

Memory
18.1MiB live, 58.0MiB allocated; 9ms collecting garbage
Counts
38 → 89
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
#s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))
(/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s))
#s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s))
(*.f32 (neg.f32 s) s)
(neg.f32 s)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s)))
(-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32))
(/.f32 (*.f32 x x) s)
(*.f32 x x)
Outputs
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)))))
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 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
-1
(- (* 1/2 (/ x s)) 1)
x
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (/ 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))))
(/ x s)
(* -1 (pow s 2))
(- (* 1/2 (* s x)) (pow s 2))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(/ (pow x 2) s)
(pow x 2)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x 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))))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (exp (/ x s)))
(exp (/ x s))
(* x (+ (/ 1 s) (/ 1 x)))
(* 1/2 (* s x))
(* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (+ (* -1/2 s) (/ (pow s 2) x))))
(/ (+ (* -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 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ 1/2 s)
s
(/ (+ s x) s)
(* s (+ (* -1 s) (* 1/2 x)))
(* -1 s)
(pow s 3)
(pow s 2)
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(- (+ 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))))))
(+ 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))))))
(/ (- (* 1/2 (/ x s)) 1) 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))))))
(- (+ 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))))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(+ 1 (+ (* 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))))
(* (pow s 2) (- (* 1/2 (/ x s)) 1))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ 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 (* -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 (* -1/2 (/ x s))) 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 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) x) 2) (/ (+ (* (/ 1/2 s) x) -1) s) (+ (* (/ 1/2 s) x) -1) (/ 1/2 s) 1/2 s x -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (neg s) s) (neg s) (* (* s s) s) (* s s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (- (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ x s)) (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ (* x x) s) (* x x))
4.0ms
s
@-inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) x) 2) (/ (+ (* (/ 1/2 s) x) -1) s) (+ (* (/ 1/2 s) x) -1) (/ 1/2 s) 1/2 s x -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (neg s) s) (neg s) (* (* s s) s) (* s s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (- (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ x s)) (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ (* x x) s) (* x x))
4.0ms
s
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) x) 2) (/ (+ (* (/ 1/2 s) x) -1) s) (+ (* (/ 1/2 s) x) -1) (/ 1/2 s) 1/2 s x -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (neg s) s) (neg s) (* (* s s) s) (* s s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (- (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ x s)) (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ (* x x) s) (* x x))
4.0ms
s
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) x) 2) (/ (+ (* (/ 1/2 s) x) -1) s) (+ (* (/ 1/2 s) x) -1) (/ 1/2 s) 1/2 s x -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (neg s) s) (neg s) (* (* s s) s) (* s s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (- (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ x s)) (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ (* x x) s) (* x x))
4.0ms
x
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) x) 2) (/ (+ (* (/ 1/2 s) x) -1) s) (+ (* (/ 1/2 s) x) -1) (/ 1/2 s) 1/2 s x -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) x) 2) (/ (- (* (* 1/2 x) s) (* (* s s) 1)) (* (* s s) s)) (- (* (* 1/2 x) s) (* (* s s) 1)) (* (neg s) s) (neg s) (* (* s s) s) (* s s) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (- (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ x s)) (+ (* (/ 1/2 s) (/ (* x x) s)) 2) (/ (* x x) s) (* x x))

simplify223.0ms (4.8%)

Memory
7.7MiB live, 239.0MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03361270
111541050
249041039
08767972
Stop Event
1×iter limit
1×node limit
Counts
89 → 87
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)))))
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 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
-1
(- (* 1/2 (/ x s)) 1)
x
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (/ 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))))
(/ x s)
(* -1 (pow s 2))
(- (* 1/2 (* s x)) (pow s 2))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(/ (pow x 2) s)
(pow x 2)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x 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))))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (exp (/ x s)))
(exp (/ x s))
(* x (+ (/ 1 s) (/ 1 x)))
(* 1/2 (* s x))
(* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (+ (* -1/2 s) (/ (pow s 2) x))))
(/ (+ (* -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 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ 1/2 s)
s
(/ (+ s x) s)
(* s (+ (* -1 s) (* 1/2 x)))
(* -1 s)
(pow s 3)
(pow s 2)
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(- (+ 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))))))
(+ 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))))))
(/ (- (* 1/2 (/ x s)) 1) 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))))))
(- (+ 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))))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(+ 1 (+ (* 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))))
(* (pow s 2) (- (* 1/2 (/ x s)) 1))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ 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 (* -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 (* -1/2 (/ x s))) 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 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
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))))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
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))))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (/ x s))
(-.f32 (/.f32 x s) #s(literal -1 binary32))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) x) s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(/ x s)
(/.f32 x s)
(* -1 (pow s 2))
(*.f32 (neg.f32 s) s)
(- (* 1/2 (* s x)) (pow s 2))
(*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32) #s(literal 2 binary32))
(/ (pow x 2) s)
(*.f32 x (/.f32 x s))
(pow x 2)
(*.f32 x x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x))) (*.f32 x x))
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x)
(* 1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(* x (+ (/ 1 s) (/ 1 x)))
(-.f32 (/.f32 x s) #s(literal -1 binary32))
(* 1/2 (* s x))
(*.f32 (*.f32 s x) #s(literal 1/2 binary32))
(* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))
(*.f32 (neg.f32 x) (fma.f32 #s(literal -1/2 binary32) s (/.f32 (*.f32 s s) x)))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(* -1 (* x (+ (* -1/2 s) (/ (pow s 2) x))))
(*.f32 (neg.f32 x) (fma.f32 #s(literal -1/2 binary32) s (/.f32 (*.f32 s s) x)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
s
(/ (+ s x) s)
(-.f32 (/.f32 x s) #s(literal -1 binary32))
(* s (+ (* -1 s) (* 1/2 x)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)
(* -1 s)
(neg.f32 s)
(pow s 3)
(pow.f32 s #s(literal 3 binary32))
(pow s 2)
(*.f32 s s)
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) s) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) (*.f32 #s(literal 0 binary32) x)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 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 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) 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)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 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))))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/8 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32) (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) #s(literal -1/8 binary32) (*.f32 #s(literal 0 binary32) x)))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) 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))))
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(* (pow s 2) (- (* 1/2 (/ x s)) 1))
(*.f32 (*.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) s)
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 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 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) 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)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 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)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/8 binary32)) #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) x (*.f32 (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal -1/4 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s))) s))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) 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)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) x) s))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) x) s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))

rewrite103.0ms (2.2%)

Memory
7.0MiB live, 101.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056449
086419
1343401
02544397
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
38 → 376
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
#s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))
(/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s))
#s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s))
(*.f32 (neg.f32 s) s)
(neg.f32 s)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s)))
(-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32))
(/.f32 (*.f32 x x) s)
(*.f32 x x)
Outputs
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))))
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x)) (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))))
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(-.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 x s)))) (/.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 x s)))))
(-.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 x s))) (pow.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 x s))) (pow.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)))))
(-.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 x s))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 (*.f32 x x) (fabs.f32 s)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (*.f32 x x) (neg.f32 s)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 x (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(+.f32 #s(literal 2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (/.f32 x s)))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))))
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (*.f32 (/.f32 x s) x)) (/.f32 #s(literal 1/2 binary32) s)))
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) (*.f32 (/.f32 x s) x)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 (*.f32 x x) (fabs.f32 s)) #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (*.f32 x x) (neg.f32 s)) #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 2 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) #s(literal 2 binary32))
(fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x) #s(literal 2 binary32))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32))
(fma.f32 x (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) #s(literal 2 binary32))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 #s(literal 8 binary32) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))))
(*.f32 (fabs.f32 x) (/.f32 (fabs.f32 x) s))
(*.f32 (/.f32 x s) x)
(*.f32 (neg.f32 x) (/.f32 (neg.f32 x) s))
(*.f32 x (/.f32 x s))
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s))
(/.f32 (*.f32 x x) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 x x) s)
(neg.f32 (/.f32 (*.f32 (neg.f32 x) x) s))
(neg.f32 (/.f32 (*.f32 x x) (neg.f32 s)))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) x)
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 x) x))

eval69.0ms (1.5%)

Memory
-4.2MiB live, 132.6MiB allocated; 21ms collecting garbage
Compiler

Compiled 15 610 to 2 136 computations (86.3% saved)

prune28.0ms (0.6%)

Memory
0.5MiB live, 88.1MiB allocated; 9ms collecting garbage
Pruning

25 alts after pruning (13 fresh and 12 done)

PrunedKeptTotal
New4865491
Fresh189
Picked055
Done077
Total48725512
Accuracy
100.0%
Counts
512 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
56.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) x) s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
58.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
60.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
✓59.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓54.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))))
55.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
55.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
✓59.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
46.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
45.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (*.f32 s x) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
✓27.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
58.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓55.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
✓57.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
51.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
✓43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
36.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x))))
32.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s)))))
✓30.2%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
30.1%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
✓35.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 516 to 685 computations (54.8% saved)

regimes116.0ms (2.5%)

Memory
-20.7MiB live, 181.9MiB allocated; 63ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (*.f32 s x) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) x) s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.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:

62.0ms
s
10.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.0ms
(neg.f32 x)
9.0ms
x
8.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes55.0ms (1.2%)

Memory
7.6MiB live, 149.2MiB allocated; 7ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (*.f32 s x) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) x) s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
Calls

7 calls:

10.0ms
x
9.0ms
(neg.f32 x)
8.0ms
s
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
95.7%2(neg.f32 x)
96.2%2(/.f32 (neg.f32 x) s)
96.2%2(exp.f32 (/.f32 (neg.f32 x) s))
96.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
96.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
95.7%2x
67.2%2s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes49.0ms (1.1%)

Memory
-5.9MiB live, 88.8MiB allocated; 5ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (*.f32 s x) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
Calls

6 calls:

16.0ms
(neg.f32 x)
7.0ms
x
7.0ms
(/.f32 (neg.f32 x) s)
7.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
92.4%2(neg.f32 x)
92.4%2x
92.4%2(/.f32 (neg.f32 x) s)
92.4%2(exp.f32 (/.f32 (neg.f32 x) s))
92.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
92.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes63.0ms (1.4%)

Memory
22.4MiB live, 114.7MiB allocated; 6ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) x) 2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (neg.f32 s) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) s) (* (* s s) 1)) (*.f32 (*.f32 s x) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 2 binary32)) (/.f32 x s))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
Calls

6 calls:

30.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
x
6.0ms
(neg.f32 x)
6.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
91.1%2(/.f32 (neg.f32 x) s)
91.1%2(exp.f32 (/.f32 (neg.f32 x) s))
91.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
91.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
91.2%2(neg.f32 x)
91.2%2x
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes48.0ms (1%)

Memory
0.8MiB live, 47.3MiB allocated; 2ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
Calls

6 calls:

34.0ms
(/.f32 (neg.f32 x) s)
3.0ms
x
3.0ms
(neg.f32 x)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
85.4%2(exp.f32 (/.f32 (neg.f32 x) s))
85.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
85.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
85.4%2(/.f32 (neg.f32 x) s)
85.4%2(neg.f32 x)
85.4%2x
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes29.0ms (0.6%)

Memory
-14.1MiB live, 37.0MiB allocated; 3ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
Calls

7 calls:

13.0ms
(/.f32 (neg.f32 x) s)
3.0ms
s
3.0ms
(neg.f32 x)
3.0ms
x
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
51.1%1s
61.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
61.4%2(/.f32 (neg.f32 x) s)
61.4%2(exp.f32 (/.f32 (neg.f32 x) s))
61.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
61.8%2x
61.8%2(neg.f32 x)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes18.0ms (0.4%)

Memory
-0.0MiB live, 46.8MiB allocated; 1ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (/ 1/2 s) x) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

7 calls:

4.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(neg.f32 x)
2.0ms
s
2.0ms
x
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
43.6%1s
51.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.3%2(/.f32 (neg.f32 x) s)
51.3%2(exp.f32 (/.f32 (neg.f32 x) s))
51.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.8%2x
50.8%2(neg.f32 x)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes41.0ms (0.9%)

Memory
-12.4MiB live, 33.9MiB allocated; 3ms collecting garbage
Accuracy

Total -2.3b remaining (-11.4%)

Threshold costs -2.3b (-11.4%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

32.0ms
s
2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
35.5%1s
35.5%1x
35.5%1(neg.f32 x)
35.5%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.5%1(/.f32 (neg.f32 x) s)
35.5%1(exp.f32 (/.f32 (neg.f32 x) s))
35.5%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.04156917333602905
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.780008216587349e-30
-1.3382074073376853e-30
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.780008216587349e-30
-1.3382074073376853e-30
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3382074073376853e-30
2.780008216587349e-30
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3382074073376853e-30
2.780008216587349e-30
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3528062105178833
1.4266961812973022
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify55.0ms (1.2%)

Memory
-7.0MiB live, 93.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081347
1112347
2190347
3413347
41244347
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (neg.f32 x) #s(literal 332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (neg.f32 x) #s(literal 332307/166153499473114484112975882535043072 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 11744051/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 x #s(literal -332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (neg.f32 x) #s(literal 332307/166153499473114484112975882535043072 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (neg.f32 x) #s(literal 332307/166153499473114484112975882535043072 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(approx (+ (* 1/2 x) (neg s)) (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 11744051/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

derivations320.0ms (6.9%)

Memory
14.6MiB live, 388.2MiB allocated; 41ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 347 to 83 computations (76.1% saved)

preprocess34.0ms (0.7%)

Memory
6.7MiB live, 99.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 712 to 182 computations (74.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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