Logistic function

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze25.0ms (0.9%)

Memory
39.4MiB live, 39.4MiB allocated; 0ms 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)

sample662.0ms (24.1%)

Memory
31.2MiB live, 767.9MiB allocated; 169ms collecting garbage
Samples
400.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 231.0ms
ival-div!: 78.0ms (33.7% of total)
ival-neg: 70.0ms (30.3% of total)
ival-exp: 60.0ms (26% of total)
ival-add!: 19.0ms (8.2% of total)
adjust: 1.0ms (0.4% of total)
ival-<=: 1.0ms (0.4% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess34.0ms (1.2%)

Memory
-20.1MiB live, 25.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
17650
216150
355650
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 18 to 16 computations (11.1% saved)

series10.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms 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
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

TimeVariablePointExpression
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)
1.0ms
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)

rewrite155.0ms (5.7%)

Memory
6.4MiB live, 148.2MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181784
0189698
11087689
08166663
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
39 → 77
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
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Outputs
(*.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) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.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 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.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))))
#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 (+.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) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.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 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.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 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(-.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 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.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 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s))))) (-.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (/.f32 x s))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s)))) (*.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 (neg.f32 (neg.f32 x)) s))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
s
#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 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) 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) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) 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)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #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)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) 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)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #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)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32) #s(literal -1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32))))) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (exp (/ (neg x) s)) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal -1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s) (neg.f32 (*.f32 #s(literal -1/4 binary32) x))) s) #s(literal -1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s) (neg.f32 x)) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s) (neg.f32 x)) s) #s(literal -1 binary32)))

eval5.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 781 to 342 computations (56.2% saved)

prune6.0ms (0.2%)

Memory
-36.9MiB live, 9.6MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New61970
Fresh000
Picked101
Done000
Total62971
Accuracy
99.9%
Counts
71 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.5%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
▶99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
64.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))))
▶43.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
▶99.8%
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
19.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
28.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 218 to 208 computations (4.6% saved)

series87.0ms (3.2%)

Memory
47.3MiB live, 92.1MiB allocated; 5ms collecting garbage
Counts
23 → 87
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Outputs
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole 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)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log 2)))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole 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))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole 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)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
Calls

6 calls:

TimeVariablePointExpression
29.0ms
x
@inf
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (log (- (exp (/ (neg x) s)) -1)))
27.0ms
x
@-inf
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (log (- (exp (/ (neg x) s)) -1)))
16.0ms
s
@0
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (log (- (exp (/ (neg x) s)) -1)))
5.0ms
x
@0
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (log (- (exp (/ (neg x) s)) -1)))
5.0ms
s
@inf
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (log (- (exp (/ (neg x) s)) -1)))

rewrite199.0ms (7.2%)

Memory
-3.3MiB live, 224.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06083084
06362748
140792744
094852621
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
110 → 201
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole 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)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log 2)))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole 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))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole 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)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
Outputs
(/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.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 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.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))
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(/.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(literal 2 binary32)) s)) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (sinh.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(exp.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x)) (*.f32 x x))) (neg.f32 (fma.f32 #s(literal -2 binary32) x (neg.f32 x))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (neg.f32 x) (*.f32 x x)))) (neg.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x) (fma.f32 x x (*.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x))))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x)) (*.f32 x x)) (fma.f32 #s(literal -2 binary32) x (neg.f32 x)))
(/.f32 (-.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (neg.f32 x) (*.f32 x x))) (fma.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x) (fma.f32 x x (*.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x)))))
(-.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x))
(fma.f32 #s(literal -2 binary32) x (*.f32 #s(literal 1 binary32) x))
(fma.f32 x #s(literal -2 binary32) (*.f32 #s(literal 1 binary32) x))
(+.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal 1 binary32) x))
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal -1 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) (neg.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s)))) (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) (/.f32 (neg.f32 x) (*.f32 (*.f32 s s) s)) #s(literal 8 binary32))) (neg.f32 (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (*.f32 (*.f32 s s) s)))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)))))
(/.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
(/.f32 (fma.f32 (*.f32 x x) (/.f32 (neg.f32 x) (*.f32 (*.f32 s s) s)) #s(literal 8 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))))
(/.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (*.f32 (*.f32 s s) s))) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
#s(literal 2 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))
(-.f32 (/.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))))
(expm1.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 3 binary32)))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32) #s(literal 0 binary32)))))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32) #s(literal 0 binary32))))))
(-.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) #s(literal 1 binary32))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32))) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)
(expm1.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)))))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (exp.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 -2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.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 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.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))
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (log.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (log.f32 (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(-.f32 (log.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (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) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) #s(literal 2 binary32))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (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)))
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #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)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
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#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal -2/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 4/3 binary32))) s))) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal -1/24 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32))) s))) s))) s)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32))) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s)) (log.f32 #s(literal 2 binary32))))

eval29.0ms (1.1%)

Memory
-5.9MiB live, 48.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 3 549 to 1 293 computations (63.6% saved)

prune41.0ms (1.5%)

Memory
-28.6MiB live, 18.4MiB allocated; 1ms collecting garbage
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New24910259
Fresh404
Picked235
Done000
Total25513268
Accuracy
100.0%
Counts
268 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
44.0%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
▶99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
✓99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓43.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
43.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
▶43.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
▶99.8%
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
61.5%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
26.9%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
▶19.7%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
▶28.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 377 to 355 computations (5.8% saved)

series65.0ms (2.4%)

Memory
31.8MiB live, 78.4MiB allocated; 3ms collecting garbage
Counts
38 → 89
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (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))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) s)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))
(*.f32 x x)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal -1/48 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
Outputs
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole 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)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (* (* s s) s)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log 2)))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole 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))))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole 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)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
s
@0
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg (log (+ (exp (/ (neg x) s)) 1))) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
11.0ms
x
@inf
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg (log (+ (exp (/ (neg x) s)) 1))) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
11.0ms
x
@-inf
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg (log (+ (exp (/ (neg x) s)) 1))) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
4.0ms
x
@0
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg (log (+ (exp (/ (neg x) s)) 1))) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
4.0ms
s
@-inf
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg (log (+ (exp (/ (neg x) s)) 1))) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))

rewrite260.0ms (9.5%)

Memory
8.6MiB live, 206.5MiB allocated; 157ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04722769
05122401
128052393
083532282
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
127 → 323
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (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))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) s)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))
(*.f32 x x)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal -1/48 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole 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)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (* (* s s) s)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log 2)))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole 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))))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole 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)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.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 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.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) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 1 binary32)))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
x
s
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s))))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal 1/64 binary32) #s(literal 1/8 binary32))) (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)))) (+.f32 #s(literal 1/4 binary32) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))))
(/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal 1/64 binary32) #s(literal 1/8 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1/4 binary32) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))) (/.f32 (*.f32 #s(literal 1/64 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s))) (+.f32 #s(literal 1/4 binary32) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/64 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s))) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))))
(+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))) #s(literal -1 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(*.f32 x (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (neg.f32 s)) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (*.f32 (neg.f32 x) (neg.f32 s)))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) s) (*.f32 (neg.f32 x) #s(literal 1 binary32))) (*.f32 (neg.f32 x) s))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (neg.f32 s)) (neg.f32 x)) (*.f32 x (neg.f32 s)))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))) (neg.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 8 binary32) (*.f32 (*.f32 x x) x)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) s)))) (neg.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 2 binary32) (*.f32 x s))))))
(/.f32 (neg.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32)))) (neg.f32 (*.f32 x s)))
(/.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (-.f32 (/.f32 #s(literal 8 binary32) (*.f32 (*.f32 x x) x)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) s))) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal 2 binary32) (*.f32 x s)))))
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s))
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (*.f32 x x))
(/.f32 (+.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32))) (*.f32 (neg.f32 x) x))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 x) (neg.f32 x)) (*.f32 x (neg.f32 x)))
(/.f32 (fma.f32 #s(literal 1 binary32) x (*.f32 x #s(literal 1 binary32))) (*.f32 x x))
(/.f32 #s(literal -4 binary32) (*.f32 (neg.f32 x) #s(literal 2 binary32)))
(/.f32 #s(literal -4 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 x)))
(/.f32 #s(literal -2 binary32) (neg.f32 x))
(/.f32 #s(literal 4 binary32) (*.f32 x #s(literal 2 binary32)))
(/.f32 #s(literal 4 binary32) (*.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 x)))
(/.f32 #s(literal 2 binary32) x)
(+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x))
#s(literal 2 binary32)
(/.f32 #s(literal -1 binary32) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal 1 binary32) s)
(pow.f32 s #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (fma.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x)))
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#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s)))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s)) (log.f32 #s(literal 2 binary32))))

eval39.0ms (1.4%)

Memory
0.4MiB live, 43.3MiB allocated; 9ms collecting garbage
Compiler

Compiled 3 663 to 1 596 computations (56.4% saved)

prune30.0ms (1.1%)

Memory
-30.0MiB live, 26.5MiB allocated; 27ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New2776283
Fresh055
Picked145
Done033
Total27818296
Accuracy
100.0%
Counts
296 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
44.0%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
✓99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
✓99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓43.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
▶43.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
▶40.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
✓43.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
34.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
▶22.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
✓99.8%
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
61.5%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
26.9%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
✓28.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
24.1%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
▶28.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
28.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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)))
✓34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 550 to 518 computations (5.8% saved)

series167.0ms (6.1%)

Memory
20.8MiB live, 154.0MiB allocated; 23ms collecting garbage
Counts
39 → 70
Calls
Call 1
Inputs
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
(/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)
(fma.f32 #s(literal 2 binary32) s (neg.f32 x))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))
(*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s))
(-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32)))
(+.f32 s s)
(*.f32 x #s(literal 1 binary32))
(*.f32 x s)
Outputs
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 1/2))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole 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)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log 2)))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 s))))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* 2 s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (* x s) #s(hole binary32 (* s x)))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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))))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Calls

6 calls:

TimeVariablePointExpression
88.0ms
x
@inf
((pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) (exp -1) -1 (log (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) 1/2 (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s))
28.0ms
x
@-inf
((pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) (exp -1) -1 (log (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) 1/2 (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s))
22.0ms
x
@0
((pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) (exp -1) -1 (log (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) 1/2 (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s))
19.0ms
s
@0
((pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) (exp -1) -1 (log (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) 1/2 (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s))
4.0ms
s
@-inf
((pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) (exp -1) -1 (log (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) 1/2 (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s))

rewrite242.0ms (8.8%)

Memory
8.1MiB live, 373.0MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04052119
04341887
124201875
0101511813
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
109 → 268
Calls
Call 1
Inputs
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
(/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)
(fma.f32 #s(literal 2 binary32) s (neg.f32 x))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))
(*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s))
(-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32)))
(+.f32 s s)
(*.f32 x #s(literal 1 binary32))
(*.f32 x s)
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 1/2))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole 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)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log 2)))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 s))))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* 2 s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (* x s) #s(hole binary32 (* s x)))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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))))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole 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)))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Outputs
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32))))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32)))))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32)) (/.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(+.f32 (cosh.f32 (*.f32 #s(literal -1 binary32) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (sinh.f32 (*.f32 #s(literal -1 binary32) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(exp.f32 (*.f32 #s(literal -1 binary32) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 1 binary32)))
(-.f32 (cosh.f32 #s(literal 1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(+.f32 (cosh.f32 #s(literal 1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (log.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(-.f32 (log.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (log.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
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#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (pow (exp -1) (log (- (exp (/ (neg x) s)) -1))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/4 binary32)))) s) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) #s(literal 1/2 binary32))) s))) s)) #s(literal 1/2 binary32)))
#s(approx (log (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) s)))
#s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s)))

eval65.0ms (2.4%)

Memory
0.7MiB live, 61.4MiB allocated; 40ms collecting garbage
Compiler

Compiled 3 041 to 1 432 computations (52.9% saved)

prune50.0ms (1.8%)

Memory
-5.8MiB live, 40.2MiB allocated; 5ms collecting garbage
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New2314235
Fresh066
Picked235
Done077
Total23320253
Accuracy
100.0%
Counts
253 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
44.0%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
✓99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
✓99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓43.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
41.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
43.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
40.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) x) (*.f32 x s)) x))))
✓43.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
34.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
✓22.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
✓99.8%
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
61.5%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
26.9%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
✓28.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
24.1%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
✓28.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
34.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
28.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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)))
✓34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 661 to 528 computations (20.1% saved)

regimes60.0ms (2.2%)

Memory
-9.6MiB live, 133.3MiB allocated; 19ms collecting garbage
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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 (- (exp (/ (neg x) s)) -1)) (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))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) x) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Calls

7 calls:

12.0ms
(neg.f32 x)
11.0ms
x
9.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms
s
7.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes32.0ms (1.2%)

Memory
2.7MiB live, 94.1MiB allocated; 6ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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 (- (exp (/ (neg x) s)) -1)) (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))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) x) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x 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))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
Calls

7 calls:

6.0ms
(neg.f32 x)
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
s
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
56.1%2(neg.f32 x)
55.8%2(/.f32 (neg.f32 x) s)
55.8%2(exp.f32 (/.f32 (neg.f32 x) s))
55.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
55.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
56.1%2x
43.5%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes23.0ms (0.8%)

Memory
15.5MiB live, 61.8MiB allocated; 3ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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 (- (exp (/ (neg x) s)) -1)) (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))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) x) (*.f32 x 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))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) x) (*.f32 x s)) x))))
Calls

6 calls:

5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
(neg.f32 x)
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
54.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
54.5%2(/.f32 (neg.f32 x) s)
54.5%2(exp.f32 (/.f32 (neg.f32 x) s))
54.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
53.9%2x
53.9%2(neg.f32 x)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes24.0ms (0.9%)

Memory
10.9MiB live, 64.1MiB allocated; 5ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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 (- (exp (/ (neg x) s)) -1)) (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))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
Calls

6 calls:

7.0ms
(/.f32 (neg.f32 x) s)
4.0ms
x
4.0ms
(neg.f32 x)
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
51.1%2x
51.1%2(neg.f32 x)
51.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.7%2(/.f32 (neg.f32 x) s)
51.7%2(exp.f32 (/.f32 (neg.f32 x) s))
51.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes11.0ms (0.4%)

Memory
-16.6MiB live, 30.2MiB 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 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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 (- (exp (/ (neg x) s)) -1)) (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))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Calls

4 calls:

4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
51.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.6%2(/.f32 (neg.f32 x) s)
51.6%2(exp.f32 (/.f32 (neg.f32 x) s))
51.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes14.0ms (0.5%)

Memory
-8.7MiB live, 37.7MiB allocated; 3ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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 (- (exp (/ (neg x) s)) -1)) (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))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) 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))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
Calls

6 calls:

4.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
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
50.1%2x
50.1%2(neg.f32 x)
50.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.3%2(/.f32 (neg.f32 x) s)
50.3%2(exp.f32 (/.f32 (neg.f32 x) s))
50.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes14.0ms (0.5%)

Memory
-5.8MiB live, 40.5MiB allocated; 3ms collecting garbage
Accuracy

Total -2.6b remaining (-12.2%)

Threshold costs -2.6b (-12.2%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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 (- (exp (/ (neg x) s)) -1)) (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:

4.0ms
s
2.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
34.3%1s
34.3%1x
34.3%1(neg.f32 x)
34.3%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.3%1(/.f32 (neg.f32 x) s)
34.3%1(exp.f32 (/.f32 (neg.f32 x) s))
34.3%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
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.100560989085805e-24
1.2788730583238974e-23
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
2.0026729106903076
2.012277126312256
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2383018732070923
1.466444730758667
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2383018732070923
1.466444730758667
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.153153419494629
2176.679443359375
Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations329.0ms (12%)

Memory
16.0MiB live, 382.5MiB allocated; 52ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 98 to 73 computations (25.5% saved)

preprocess69.0ms (2.5%)

Memory
-12.2MiB live, 91.3MiB allocated; 46ms collecting garbage
Compiler

Compiled 107 to 81 computations (24.3% saved)

end0.0ms (0%)

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

Profiling

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