Logarithmic Transform

Time bar (total: 12.7s)

start0.0ms (0%)

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

analyze261.0ms (2.1%)

Memory
-43.1MiB live, 257.4MiB allocated; 124ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
12.5%12.5%87.4%0.1%0%0%0%6
28.6%25%62.4%0.1%0%12.5%0%7
28.6%25%62.4%0.1%0%12.5%0%8
39.3%34.3%53%0.1%0%12.5%0%9
52.7%45.2%40.6%0.1%0%14%0%10
52.7%45.2%40.6%0.1%0%14%0%11
56%47.6%37.4%0.1%0%14.8%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample5.3s (41.5%)

Memory
624.2MiB live, 2 826.6MiB allocated; 5.0s collecting garbage
Samples
2.5s3 482×0valid
1.5s4 774×1valid
187.0ms1 483×1exit
157.0ms697×1invalid
36.0ms625×0invalid
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-exp: 3.4s (84.7% of total)
ival-log1p: 195.0ms (4.9% of total)
adjust: 175.0ms (4.4% of total)
ival-mult!: 169.0ms (4.2% of total)
ival-sub!: 70.0ms (1.8% of total)
Bogosity

preprocess154.0ms (1.2%)

Memory
-29.3MiB live, 61.2MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044127
1144125
2391115
31512115
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶38.7%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Symmetry

(negabs c)

Compiler

Compiled 24 to 22 computations (8.3% saved)

series574.0ms (4.5%)

Memory
26.2MiB live, 550.1MiB allocated; 253ms collecting garbage
Counts
11 → 56
Calls
Call 1
Inputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
#s(literal 1 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
y
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))))
#s(approx c c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 c (*.f64 x (*.f64 y (log.f64 (E.f64))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))) (*.f64 c (*.f64 y (log.f64 (E.f64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 c (*.f64 y (log.f64 (E.f64))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 c (*.f64 y (log.f64 (E.f64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal 12 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))))))))) (*.f64 #s(literal 1/6 binary64) (*.f64 c (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64)))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))) (*.f64 y (log.f64 (E.f64))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal 12 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))))) (*.f64 y (log.f64 (E.f64))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))) (*.f64 y (log.f64 (E.f64)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64)))))))
#s(approx (* (- (pow (E) x) 1) y) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))) (*.f64 y (log.f64 (E.f64))))))
#s(approx (* (- (pow (E) x) 1) y) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64))))))
#s(approx (* (- (pow (E) x) 1) y) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))) (*.f64 y (log.f64 (E.f64))))))
#s(approx (- (pow (E) x) 1) (*.f64 x (log.f64 (E.f64))))
#s(approx (- (pow (E) x) 1) (*.f64 x (+.f64 (log.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))
#s(approx (- (pow (E) x) 1) (*.f64 x (+.f64 (log.f64 (E.f64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))))))
#s(approx (- (pow (E) x) 1) (*.f64 x (+.f64 (log.f64 (E.f64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))))))
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) (*.f64 x (log.f64 (E.f64)))))
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (log.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))))))
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (log.f64 (E.f64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))))
#s(approx x x)
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))
#s(approx (* (- (pow (E) x) 1) y) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
#s(approx (- (pow (E) x) 1) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))
#s(approx (pow (E) x) (pow.f64 (E.f64) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 y (fma.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 c (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 y (fma.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 c (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (E.f64) x)) #s(literal 1 binary64))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y (-.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (E.f64) x)) #s(literal 1 binary64))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y (-.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (pow.f64 (E.f64) x)) #s(literal 1 binary64))))
#s(approx y y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 c (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 c (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 c (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 c (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 c (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (-.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (-.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (E.f64) x)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 c (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))))) y))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))))
Calls

9 calls:

TimeVariablePoint
139.0ms
c
0
46.0ms
x
-inf
34.0ms
c
inf
23.0ms
x
inf
19.0ms
y
0

rewrite2.6s (20.3%)

Memory
113.2MiB live, 763.0MiB allocated; 4.5s collecting garbage
Counts
11 → 548
Calls
Call 1
Inputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
#s(literal 1 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
y
Outputs
(*.f64 c (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))))
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c))
c
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))
(+.f64 (*.f64 (exp.f64 x) y) (-.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))
(+.f64 (fma.f64 (exp.f64 x) y #s(literal 1 binary64)) (neg.f64 y))
(+.f64 (fma.f64 (exp.f64 x) y #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal 0 binary64)))
(+.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 (expm1.f64 x) y #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(+.f64 (neg.f64 y) (fma.f64 (exp.f64 x) y #s(literal 1 binary64)))
(+.f64 (-.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (exp.f64 x) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 x) y)))
(+.f64 (neg.f64 y) (-.f64 (*.f64 (exp.f64 x) y) #s(literal -1 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (*.f64 (exp.f64 x) y) (neg.f64 (-.f64 (neg.f64 y) #s(literal -1 binary64))))
(-.f64 (*.f64 (exp.f64 x) y) (+.f64 y #s(literal -1 binary64)))
(-.f64 (*.f64 (exp.f64 x) y) (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 (expm1.f64 x) y) #s(literal -1 binary64))
(-.f64 (fma.f64 (exp.f64 x) y #s(literal 1 binary64)) y)
(-.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 x) y)))
(-.f64 (+.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 x) y)))
(/.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 x) y))) #s(literal -2 binary64))
(/.f64 (/.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (expm1.f64 x) y) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (expm1.f64 x) y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 x) y)))) #s(literal 2 binary64))
(fma.f64 (exp.f64 x) y (-.f64 (neg.f64 y) #s(literal -1 binary64)))
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64))
(fma.f64 y (expm1.f64 x) #s(literal 1 binary64))
(fma.f64 y (exp.f64 x) (-.f64 (neg.f64 y) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (expm1.f64 x)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (expm1.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (fma.f64 (exp.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (expm1.f64 x) y))
(fma.f64 y #s(literal -1 binary64) (fma.f64 (exp.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) y (fma.f64 (exp.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (fma.f64 (exp.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 (expm1.f64 x) y))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) (*.f64 (expm1.f64 x) y))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) (*.f64 (expm1.f64 x) y))
(fma.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 1/2 binary64)) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1/2 binary64)) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1/2 binary64)) #s(literal 0 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 1/2 binary64)) #s(literal 0 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) (*.f64 (expm1.f64 x) y))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (*.f64 (expm1.f64 x) y))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 (expm1.f64 x) y))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (expm1.f64 x) (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 x) y)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 x) y)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 x) y)))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 x) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 x) y)))
(fma.f64 #s(literal -1 binary64) y (-.f64 (*.f64 (exp.f64 x) y) #s(literal -1 binary64)))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 x) y) #s(literal -1 binary64)))
(fma.f64 y #s(literal -1 binary64) (-.f64 (*.f64 (exp.f64 x) y) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (-.f64 (*.f64 (exp.f64 x) y) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (expm1.f64 x))))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (expm1.f64 x))))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (expm1.f64 x))))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (expm1.f64 x))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 x) y)))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(fabs.f64 #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 1/2 binary64))))
(/.f64 (E.f64) (E.f64))
(/.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal -4 binary64) #s(literal -4 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(copysign.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(copysign.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
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(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) #s(literal 2 binary64))
(fma.f64 y #s(literal 0 binary64) y)
(fma.f64 #s(literal 0 binary64) y y)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 y #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 y #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 y #s(literal 0 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y #s(literal 0 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(neg.f64 (neg.f64 y))

eval166.0ms (1.3%)

Memory
26.5MiB live, 122.6MiB allocated; 116ms collecting garbage
Compiler

Compiled 10 825 to 3 364 computations (68.9% saved)

prune20.0ms (0.2%)

Memory
-18.0MiB live, 27.8MiB allocated; 6ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5917598
Fresh000
Picked101
Done000
Total5927599
Accuracy
99.9%
Counts
599 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.6%
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
▶93.5%
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
▶29.7%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶51.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64)))))))
▶57.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
51.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 c (*.f64 y (log.f64 (E.f64))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))))))
54.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))) (*.f64 c (*.f64 y (log.f64 (E.f64)))))))
Compiler

Compiled 410 to 278 computations (32.2% saved)

series573.0ms (4.5%)

Memory
41.0MiB live, 690.8MiB allocated; 139ms collecting garbage
Counts
33 → 119
Calls
Call 1
Inputs
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
c
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.f64 (expm1.f64 x) y)
(expm1.f64 x)
x
y
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64)))))
(*.f64 x (*.f64 y (log.f64 (E.f64))))
(*.f64 y (log.f64 (E.f64)))
(log.f64 (E.f64))
(E.f64)
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64))))
#s(literal 1/2 binary64)
(*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))
#s(literal -1 binary64)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))
(*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))
Outputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
#s(approx c c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 x y)))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 c y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 x (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 c (*.f64 x (+.f64 y (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 #s(literal 1/6 binary64) (*.f64 c (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 x y))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 y (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))))))))))
#s(approx (* (- (exp x) 1) y) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
#s(approx (* (- (exp x) 1) y) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) y))))))
#s(approx (* (- (exp x) 1) y) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x y) (*.f64 #s(literal 1/6 binary64) y))))))))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 c (*.f64 x (*.f64 y (log.f64 (E.f64))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))) (*.f64 c (*.f64 y (log.f64 (E.f64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 c (*.f64 y (log.f64 (E.f64))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 c (*.f64 y (log.f64 (E.f64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal 12 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))))))))) (*.f64 #s(literal 1/6 binary64) (*.f64 c (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))))))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64)))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))) (*.f64 y (log.f64 (E.f64))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (fma.f64 #s(literal 12 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))))) (*.f64 y (log.f64 (E.f64))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))) (*.f64 y (log.f64 (E.f64)))))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64)))))))
#s(approx (+ (* (- (exp x) 1) y) 1) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
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#s(approx (* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))))
#s(approx (* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (/.f64 (*.f64 x (+.f64 (log.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))) y))))
#s(approx (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))))
#s(approx (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) y) (/.f64 (log.f64 (E.f64)) y)))))
#s(approx (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))))
#s(approx (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (/.f64 (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) y))))
#s(approx (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))
#s(approx (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 c (*.f64 y (expm1.f64 x)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (expm1.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))) y))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)))))
#s(approx (log (+ 1 (* (- (exp x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 c (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 c (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))))) y))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* (- (exp x) 1) y) 1) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (log.f64 (E.f64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))) y) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))
#s(approx (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (E.f64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))
Calls

9 calls:

TimeVariablePoint
64.0ms
y
-inf
47.0ms
c
0
41.0ms
x
-inf
38.0ms
x
inf
30.0ms
c
inf

rewrite462.0ms (3.6%)

Memory
-14.7MiB live, 557.0MiB allocated; 166ms collecting garbage
Counts
33 → 735
Calls
Call 1
Inputs
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
c
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.f64 (expm1.f64 x) y)
(expm1.f64 x)
x
y
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64)))))
(*.f64 x (*.f64 y (log.f64 (E.f64))))
(*.f64 y (log.f64 (E.f64)))
(log.f64 (E.f64))
(E.f64)
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 x) y #s(literal 1 binary64))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64)))))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64))))
#s(literal 1/2 binary64)
(*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))
#s(literal -1 binary64)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))
(*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))
Outputs
(*.f64 c (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))))
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c))
c
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (expm1.f64 x))))
(log1p.f64 (+.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 x) y)))
(*.f64 (expm1.f64 x) y)
(*.f64 y (expm1.f64 x))
(*.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 y))
(*.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))
(*.f64 y (*.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (neg.f64 y) (neg.f64 (expm1.f64 x)))
(+.f64 (*.f64 (exp.f64 x) y) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 (exp.f64 x) y))
(+.f64 (*.f64 (cosh.f64 x) y) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) y))
(+.f64 (*.f64 y (cosh.f64 x)) (*.f64 y (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (*.f64 (exp.f64 x) y) y)
(fma.f64 (exp.f64 x) y (neg.f64 y))
(fma.f64 y (exp.f64 x) (neg.f64 y))
(fma.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) y (neg.f64 y))
(fma.f64 (*.f64 (exp.f64 x) y) #s(literal 1 binary64) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) y) (neg.f64 y))
(fma.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 (exp.f64 x) y))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 (exp.f64 x) y))
(fma.f64 #s(literal -1 binary64) y (*.f64 (exp.f64 x) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (exp.f64 x) y))
(fma.f64 (cosh.f64 x) y (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) y))
(fma.f64 y (cosh.f64 x) (*.f64 y (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 x)))
(neg.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(expm1.f64 x)
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 x (*.f64 #s(literal 0 binary64) x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
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eval131.0ms (1%)

Memory
34.4MiB live, 213.7MiB allocated; 52ms collecting garbage
Compiler

Compiled 22 638 to 4 239 computations (81.3% saved)

prune32.0ms (0.3%)

Memory
-17.6MiB live, 50.7MiB allocated; 29ms collecting garbage
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New8387845
Fresh202
Picked235
Done000
Total84210852
Accuracy
99.9%
Counts
852 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓46.6%
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
▶37.0%
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
✓93.5%
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
▶64.4%
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
✓29.7%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶57.0%
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
51.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64)) y) x)))
▶78.7%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x)))))
54.9%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 c y))))
▶78.1%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
Compiler

Compiled 307 to 242 computations (21.2% saved)

series509.0ms (4%)

Memory
-8.0MiB live, 406.9MiB allocated; 178ms collecting garbage
Counts
27 → 100
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x))))
y
(fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x)))
#s(literal -1/2 binary64)
(*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
c
(*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(pow.f64 (expm1.f64 x) #s(literal 2 binary64))
(expm1.f64 x)
x
#s(literal 2 binary64)
(*.f64 c (expm1.f64 x))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
#s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y))
(*.f64 x y)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
(*.f64 c (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
(log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64)))
(fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))
#s(approx (- (exp x) 1) x)
#s(literal 1 binary64)
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
(log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y))
(*.f64 #s(approx (- (exp x) 1) x) y)
Outputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 c (*.f64 y (-.f64 (+.f64 (exp.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c (-.f64 (+.f64 (exp.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* c (* y (pow (- (exp x) 1) 2))) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))
#s(approx c c)
#s(approx (* c (- (exp x) 1)) (*.f64 c (expm1.f64 x)))
#s(approx (* c (log (- (- (* (exp x) y) y) -1))) (*.f64 c (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 x))) y))))
#s(approx (* c (* y (- (exp x) 1))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 #s(literal -1 binary64) (*.f64 c (*.f64 y (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 x y)))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 c y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 x (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 c (*.f64 x (+.f64 y (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 #s(literal 1/6 binary64) (*.f64 c (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))))))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 x (fma.f64 c y (*.f64 x (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/2 binary64) c)))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 x (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/6 binary64) c))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/2 binary64) c))))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 x (fma.f64 x (*.f64 y (fma.f64 #s(literal -7/24 binary64) (*.f64 c y) (*.f64 #s(literal 1/24 binary64) c))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/6 binary64) c)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/2 binary64) c))))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 x (+.f64 c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/2 binary64) c))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 x (+.f64 c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (fma.f64 #s(literal 1/2 binary64) c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/6 binary64) c)))))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 x (+.f64 c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (fma.f64 #s(literal 1/2 binary64) c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (fma.f64 #s(literal 1/6 binary64) c (*.f64 x (fma.f64 #s(literal -7/24 binary64) (*.f64 c y) (*.f64 #s(literal 1/24 binary64) c))))))))))))
#s(approx (* c (* y (pow (- (exp x) 1) 2))) (*.f64 c (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(approx (* c (* y (pow (- (exp x) 1) 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 c y (*.f64 c (*.f64 x y)))))
#s(approx (* c (* y (pow (- (exp x) 1) 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 c y (*.f64 x (fma.f64 #s(literal 7/12 binary64) (*.f64 c (*.f64 x y)) (*.f64 c y))))))
#s(approx (* c (* y (pow (- (exp x) 1) 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 c y (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 c (*.f64 x y)) (*.f64 #s(literal 7/12 binary64) (*.f64 c y)))))))))
#s(approx (* y (pow (- (exp x) 1) 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))
#s(approx (* y (pow (- (exp x) 1) 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y (*.f64 x y))))
#s(approx (* y (pow (- (exp x) 1) 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y (*.f64 x (+.f64 y (*.f64 #s(literal 7/12 binary64) (*.f64 x y)))))))
#s(approx (* y (pow (- (exp x) 1) 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x y) (*.f64 #s(literal 7/12 binary64) y))))))))
#s(approx (pow (- (exp x) 1) 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (pow (- (exp x) 1) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (pow (- (exp x) 1) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7/12 binary64) x))))))
#s(approx (pow (- (exp x) 1) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 7/12 binary64) (*.f64 #s(literal 1/4 binary64) x))))))))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (* c (- (exp x) 1)) (*.f64 x (+.f64 c (*.f64 #s(literal 1/2 binary64) (*.f64 c x)))))
#s(approx (* c (- (exp x) 1)) (*.f64 x (+.f64 c (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c x) (*.f64 #s(literal 1/2 binary64) c))))))
#s(approx (* c (- (exp x) 1)) (*.f64 x (+.f64 c (*.f64 x (fma.f64 #s(literal 1/2 binary64) c (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 c x) (*.f64 #s(literal 1/6 binary64) c))))))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y))
#s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 y (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))))))))))
#s(approx (* c (* y (- (exp x) 1))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x y)) (*.f64 c y))))
#s(approx (* c (* y (- (exp x) 1))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 c y)))))))
#s(approx (* c (* y (- (exp x) 1))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c y) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 c (*.f64 x y)) (*.f64 #s(literal 1/6 binary64) (*.f64 c y)))))))))
#s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
#s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) y))))))
#s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x y) (*.f64 #s(literal 1/6 binary64) y))))))))
#s(approx (+ (* (- (exp x) 1) y) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (exp x) 1) y) 1) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (+ (* (- (exp x) 1) y) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))))
#s(approx (+ (* (- (exp x) 1) y) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x)))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x))))
#s(approx (* y (pow (- (exp x) 1) 2)) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
#s(approx (pow (- (exp x) 1) 2) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (log (- (- (* (exp x) y) y) -1)) (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 x))) y)))
#s(approx (* y (- (exp x) 1)) (*.f64 y (expm1.f64 x)))
#s(approx (log (+ (* (- (exp x) 1) y) 1)) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))
#s(approx (+ (* (- (exp x) 1) y) 1) (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y (fma.f64 c (expm1.f64 x) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y (fma.f64 c (expm1.f64 x) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))))))))
#s(approx y y)
#s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 y (-.f64 (+.f64 (exp.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 y (-.f64 (+.f64 (exp.f64 x) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))))) #s(literal 1 binary64))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 y (-.f64 (+.f64 (exp.f64 x) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))))) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (+.f64 (log.f64 (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 c (+.f64 (log.f64 (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 c (*.f64 y (expm1.f64 x)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (fma.f64 c (+.f64 (log.f64 (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 c (*.f64 y (expm1.f64 x))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 c (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (fma.f64 c (+.f64 (log.f64 (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 c (*.f64 y (expm1.f64 x)))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 c (expm1.f64 x)) y))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 c (expm1.f64 x)) y))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (+.f64 (log.f64 (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (+.f64 (log.f64 (expm1.f64 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (-.f64 (+.f64 (log.f64 (expm1.f64 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (-.f64 (+.f64 (log.f64 (expm1.f64 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))
#s(approx (+ (* (- (exp x) 1) y) 1) (*.f64 y (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 c (*.f64 y (expm1.f64 x)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (expm1.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))) y))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 c (expm1.f64 x)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))))
#s(approx (* c (log (- (- (* (exp x) y) y) -1))) (*.f64 c (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
#s(approx (* c (log (- (- (* (exp x) y) y) -1))) (fma.f64 #s(literal -1 binary64) (/.f64 c (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) (*.f64 c (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (* c (log (- (- (* (exp x) y) y) -1))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (/.f64 c (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) y) (*.f64 c (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (* c (log (- (- (* (exp x) y) y) -1))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 c (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 3 binary64)))))) y) (/.f64 c (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) y) (*.f64 c (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) y)))))
#s(approx (log (- (- (* (exp x) y) y) -1)) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))) y)))))
#s(approx (log (+ (* (- (exp x) 1) y) 1)) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (log (+ (* (- (exp x) 1) y) 1)) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
#s(approx (log (+ (* (- (exp x) 1) y) 1)) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)))))
#s(approx (log (+ (* (- (exp x) 1) y) 1)) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y)))))
#s(approx (+ (* (- (exp x) 1) y) 1) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) y)))))
Calls

9 calls:

TimeVariablePoint
125.0ms
c
0
33.0ms
x
inf
31.0ms
x
-inf
24.0ms
c
-inf
21.0ms
c
inf

rewrite279.0ms (2.2%)

Memory
-13.0MiB live, 128.8MiB allocated; 57ms collecting garbage
Counts
27 → 58
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x))))
y
(fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x)))
#s(literal -1/2 binary64)
(*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
c
(*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(pow.f64 (expm1.f64 x) #s(literal 2 binary64))
(expm1.f64 x)
x
#s(literal 2 binary64)
(*.f64 c (expm1.f64 x))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
#s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y))
(*.f64 x y)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
(*.f64 c (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
(log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64)))
(fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))
#s(approx (- (exp x) 1) x)
#s(literal 1 binary64)
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
(log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y))
(*.f64 #s(approx (- (exp x) 1) x) y)
Outputs
#s(approx (* c (log (+ 1 (* (+ (exp x) -1) y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) (*.f64 c (expm1.f64 x))) y))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) (*.f64 c (expm1.f64 x))) y)
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) (*.f64 c (expm1.f64 x))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64)) y) (*.f64 (*.f64 c (expm1.f64 x)) y))
(+.f64 (*.f64 y (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64))) (*.f64 y (*.f64 c (expm1.f64 x))))
(fma.f64 (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64)) y (*.f64 (*.f64 c (expm1.f64 x)) y))
(fma.f64 y (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64)) (*.f64 y (*.f64 c (expm1.f64 x))))
y
(+.f64 (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64)) (*.f64 c (expm1.f64 x)))
(+.f64 (*.f64 c (expm1.f64 x)) (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64)) (neg.f64 (*.f64 c (expm1.f64 x))))
(-.f64 (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64)) (*.f64 (neg.f64 c) (expm1.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) (*.f64 c (expm1.f64 x)))
(fma.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64) (*.f64 c (expm1.f64 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 y (*.f64 (expm1.f64 x) (expm1.f64 x))) (*.f64 c (expm1.f64 x)))
(fma.f64 c (expm1.f64 x) (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64)))
(fma.f64 (expm1.f64 x) c (*.f64 (*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 c y) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(*.f64 (*.f64 y (*.f64 (expm1.f64 x) (expm1.f64 x))) c)
(*.f64 c (*.f64 y (*.f64 (expm1.f64 x) (expm1.f64 x))))
c
(*.f64 y (*.f64 (expm1.f64 x) (expm1.f64 x)))
(*.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) y)
(*.f64 (expm1.f64 x) (expm1.f64 x))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (expm1.f64 x) #s(literal 2 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 c (expm1.f64 x))
(*.f64 (expm1.f64 x) c)
(*.f64 c #s(approx (log (- (* (exp x) y) (+ y -1))) (*.f64 x y)))
#s(approx (log (- (* (exp x) y) (+ y -1))) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
#s(approx (* c (log (+ 1 (* (+ (exp x) -1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (*.f64 c y) (expm1.f64 x))
(*.f64 c (*.f64 y (expm1.f64 x)))
(*.f64 (*.f64 y (expm1.f64 x)) c)
(*.f64 y (expm1.f64 x))
(*.f64 (expm1.f64 x) y)
(*.f64 (log.f64 (fma.f64 #s(approx (+ (exp x) -1) x) y #s(literal 1 binary64))) c)
(log.f64 (fma.f64 #s(approx (+ (exp x) -1) x) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (exp x) -1) x) y #s(literal 1 binary64))
#s(approx (+ (exp x) -1) x)
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 c (log1p.f64 (*.f64 #s(approx (+ (exp x) -1) x) y)))
(log1p.f64 (*.f64 #s(approx (+ (exp x) -1) x) y))
(*.f64 #s(approx (+ (exp x) -1) x) y)

eval18.0ms (0.1%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 455 to 929 computations (83% saved)

prune8.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1583161
Fresh202
Picked145
Done033
Total16110171
Accuracy
99.9%
Counts
171 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓46.6%
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
✓37.0%
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
✓93.5%
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
✓64.4%
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
✓29.7%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
✓57.0%
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
▶81.1%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
▶58.5%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
✓78.1%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
▶56.2%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))))
Compiler

Compiled 170 to 130 computations (23.5% saved)

series297.0ms (2.3%)

Memory
-16.1MiB live, 221.0MiB allocated; 84ms collecting garbage
Counts
19 → 61
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))))
(*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))))
c
#s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
x
(+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
y
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
#s(literal 1/2 binary64)
(*.f64 x y)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x)))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))
(*.f64 c x)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (*.f64 c y) (expm1.f64 x))
(*.f64 c y)
(expm1.f64 x)
Outputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
#s(approx (* c (* y (- (exp x) 1))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx c c)
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 c (*.f64 y (-.f64 (+.f64 (exp.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c (-.f64 (+.f64 (exp.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* c x) (*.f64 c x))
#s(approx (* c y) (*.f64 c y))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 #s(literal -1 binary64) (*.f64 c (*.f64 y (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 x y)))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 c y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 x (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 c (*.f64 x (+.f64 y (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 #s(literal 1/6 binary64) (*.f64 c (+.f64 y (fma.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))))))))))
#s(approx (* c (* y (- (exp x) 1))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x y)) (*.f64 c y))))
#s(approx (* c (* y (- (exp x) 1))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 c y)))))))
#s(approx (* c (* y (- (exp x) 1))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c y) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 c (*.f64 x y)) (*.f64 #s(literal 1/6 binary64) (*.f64 c y)))))))))
#s(approx (* y (- (exp x) 1)) (*.f64 x y))
#s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
#s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) y))))))
#s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x y) (*.f64 #s(literal 1/6 binary64) y))))))))
#s(approx x x)
#s(approx (+ y (* 1/2 (* x y))) y)
#s(approx (+ y (* 1/2 (* x y))) (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
#s(approx (* 1/2 (* x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 x (fma.f64 c y (*.f64 x (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/2 binary64) c)))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 x (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/6 binary64) c))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/2 binary64) c))))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 x (fma.f64 c y (*.f64 x (fma.f64 x (fma.f64 x (*.f64 y (fma.f64 #s(literal -7/24 binary64) (*.f64 c y) (*.f64 #s(literal 1/24 binary64) c))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/6 binary64) c)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/2 binary64) c))))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 x (+.f64 c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/2 binary64) c))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 x (+.f64 c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (fma.f64 #s(literal 1/2 binary64) c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (*.f64 #s(literal 1/6 binary64) c)))))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 x (+.f64 c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (fma.f64 #s(literal 1/2 binary64) c (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 c y) (fma.f64 #s(literal 1/6 binary64) c (*.f64 x (fma.f64 #s(literal -7/24 binary64) (*.f64 c y) (*.f64 #s(literal 1/24 binary64) c))))))))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (* y (- (exp x) 1)) (*.f64 y (expm1.f64 x)))
#s(approx (* x (+ y (* 1/2 (* x y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(approx (* x (+ y (* 1/2 (* x y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 y x))))
#s(approx (+ y (* 1/2 (* x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 y x))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x)))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ y (* 1/2 (* x y))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) (*.f64 #s(literal -1/2 binary64) y)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y (fma.f64 c (expm1.f64 x) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y (fma.f64 c (expm1.f64 x) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))))))))
#s(approx (* x (+ y (* 1/2 (* x y)))) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ y (* 1/2 (* x y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c (expm1.f64 x)))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (+.f64 (log.f64 (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 c (+.f64 (log.f64 (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 c (*.f64 y (expm1.f64 x)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (fma.f64 c (+.f64 (log.f64 (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 c (*.f64 y (expm1.f64 x))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 c (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (fma.f64 c (+.f64 (log.f64 (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 c (*.f64 y (expm1.f64 x)))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))
#s(approx (* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 c (expm1.f64 x)) y))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 c (expm1.f64 x)) y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 c (*.f64 y (expm1.f64 x)))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (expm1.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))) y))) y) (*.f64 c (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (* x (+ y (* 1/2 (* x y)))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))))
#s(approx (+ y (* 1/2 (* x y))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 c (expm1.f64 x)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))))
Calls

9 calls:

TimeVariablePoint
16.0ms
c
0
10.0ms
x
inf
10.0ms
c
-inf
9.0ms
x
-inf
9.0ms
c
inf

rewrite362.0ms (2.9%)

Memory
19.1MiB live, 345.6MiB allocated; 92ms collecting garbage
Counts
19 → 188
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))))
(*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))))
c
#s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
x
(+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
y
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
#s(literal 1/2 binary64)
(*.f64 x y)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x)))
#s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))
(*.f64 c x)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (*.f64 c y) (expm1.f64 x))
(*.f64 c y)
(expm1.f64 x)
Outputs
#s(approx (* c (log (+ 1 (- (* (exp x) y) y)))) (*.f64 c #s(approx (- (* (exp x) y) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x y)))))
(*.f64 c #s(approx (- (* (exp x) y) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x y))))
c
(*.f64 (neg.f64 c) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 c))
(neg.f64 (neg.f64 c))
(neg.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)))
#s(approx (- (* (exp x) y) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y y))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y y) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
(*.f64 y (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x))
(*.f64 y (+.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x y) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y) (*.f64 x y))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 x y))
(fma.f64 (*.f64 x x) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) x (*.f64 x y))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y (*.f64 x y))
(fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) y) (*.f64 x y))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 x y))
(fma.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x y))
(fma.f64 y x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))
(fma.f64 x y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x y)) (*.f64 x y)))
(neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) y)))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) y) x))
x
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(-.f64 x #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) x)
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (neg.f64 y))
(-.f64 y (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y) y)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 x) y)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y y)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x y)
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y)
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) y)
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64) y)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x y)) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal 1/2 binary64) y)
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 x y))) y)
(neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y) y))
(neg.f64 (-.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(+.f64 y (*.f64 #s(literal 0 binary64) y))
(+.f64 y (*.f64 y #s(literal 0 binary64)))
(/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y #s(literal 0 binary64)))
(neg.f64 (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x y)))
(*.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 x y))))
(neg.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(neg.f64 #s(literal -1/2 binary64))
(*.f64 x y)
(*.f64 y x)
#s(approx (* c (log (+ 1 (- (* (exp x) y) y)))) (*.f64 y #s(approx (* c (- (* (pow (+ (exp x) -1) 2) (* -1/2 y)) (- 1 (exp x)))) (*.f64 c x))))
(*.f64 y #s(approx (* c (- (* (pow (+ (exp x) -1) 2) (* -1/2 y)) (- 1 (exp x)))) (*.f64 c x)))
#s(approx (* c (- (* (pow (+ (exp x) -1) 2) (* -1/2 y)) (- 1 (exp x)))) (*.f64 c x))
(*.f64 c x)
(*.f64 x c)
#s(approx (* c (log (+ 1 (- (* (exp x) y) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (*.f64 c y) (expm1.f64 x))
(*.f64 (expm1.f64 x) (*.f64 c y))
(*.f64 (neg.f64 (*.f64 c y)) (neg.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (*.f64 c y)))
(*.f64 (*.f64 (expm1.f64 x) y) c)
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 c (*.f64 (expm1.f64 x) y))
(*.f64 y (*.f64 (expm1.f64 x) c))
(+.f64 (neg.f64 (*.f64 c y)) (*.f64 (*.f64 c y) (exp.f64 x)))
(+.f64 (*.f64 (*.f64 c y) (exp.f64 x)) (neg.f64 (*.f64 c y)))
(+.f64 (*.f64 (*.f64 c y) (cosh.f64 x)) (*.f64 (*.f64 c y) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(+.f64 (*.f64 (cosh.f64 x) (*.f64 c y)) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 c y)))
(-.f64 (*.f64 (*.f64 c y) (exp.f64 x)) (*.f64 c y))
(-.f64 (*.f64 (*.f64 c y) (exp.f64 x)) (*.f64 (neg.f64 (*.f64 c y)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (exp.f64 x) c) y (neg.f64 (*.f64 c y)))
(fma.f64 (*.f64 (*.f64 c y) (exp.f64 x)) #s(literal 1 binary64) (neg.f64 (*.f64 c y)))
(fma.f64 (*.f64 (exp.f64 x) y) c (neg.f64 (*.f64 c y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 c y) (exp.f64 x)) (neg.f64 (*.f64 c y)))
(fma.f64 c (*.f64 (exp.f64 x) y) (neg.f64 (*.f64 c y)))
(fma.f64 y (*.f64 (exp.f64 x) c) (neg.f64 (*.f64 c y)))
(fma.f64 (*.f64 c y) #s(literal -1 binary64) (*.f64 (*.f64 c y) (exp.f64 x)))
(fma.f64 (neg.f64 y) c (*.f64 (*.f64 c y) (exp.f64 x)))
(fma.f64 (neg.f64 c) y (*.f64 (*.f64 c y) (exp.f64 x)))
(fma.f64 y (neg.f64 c) (*.f64 (*.f64 c y) (exp.f64 x)))
(fma.f64 c (neg.f64 y) (*.f64 (*.f64 c y) (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 c y) (*.f64 (*.f64 c y) (exp.f64 x)))
(fma.f64 (exp.f64 x) (*.f64 c y) (neg.f64 (*.f64 c y)))
(fma.f64 (*.f64 c y) (exp.f64 x) (neg.f64 (*.f64 c y)))
(fma.f64 (cosh.f64 x) (*.f64 c y) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 c y)))
(fma.f64 (*.f64 c y) (cosh.f64 x) (*.f64 (*.f64 c y) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(neg.f64 (*.f64 (*.f64 (neg.f64 c) (expm1.f64 x)) y))
(*.f64 c y)
(*.f64 y c)
(*.f64 (*.f64 #s(literal 1 binary64) c) y)
(*.f64 (*.f64 c y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 c y))
(*.f64 y (*.f64 c #s(literal 1 binary64)))
(+.f64 (*.f64 c y) (*.f64 #s(literal 0 binary64) (*.f64 c y)))
(+.f64 (*.f64 c y) (*.f64 (*.f64 c y) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 c y) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 c y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 c y)))
(fma.f64 (*.f64 c y) #s(literal 1 binary64) (*.f64 (*.f64 c y) #s(literal 0 binary64)))
(fma.f64 y c (*.f64 #s(literal 0 binary64) (*.f64 c y)))
(fma.f64 y c (*.f64 (*.f64 c y) #s(literal 0 binary64)))
(fma.f64 c y (*.f64 #s(literal 0 binary64) (*.f64 c y)))
(fma.f64 c y (*.f64 (*.f64 c y) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) c) y (*.f64 #s(literal 0 binary64) (*.f64 c y)))
(fma.f64 (*.f64 #s(literal 1 binary64) c) y (*.f64 (*.f64 c y) #s(literal 0 binary64)))
(fma.f64 y (*.f64 c #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 c y)))
(fma.f64 y (*.f64 c #s(literal 1 binary64)) (*.f64 (*.f64 c y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 c y) (*.f64 #s(literal 0 binary64) (*.f64 c y)))
(fma.f64 #s(literal 1 binary64) (*.f64 c y) (*.f64 (*.f64 c y) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (*.f64 c y)))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(expm1.f64 x)
(expm1.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))

eval46.0ms (0.4%)

Memory
4.3MiB live, 93.2MiB allocated; 16ms collecting garbage
Compiler

Compiled 9 190 to 1 426 computations (84.5% saved)

prune13.0ms (0.1%)

Memory
-17.0MiB live, 29.4MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New2941295
Fresh000
Picked123
Done077
Total29510305
Accuracy
99.9%
Counts
305 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓46.6%
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
✓37.0%
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
✓93.5%
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
✓64.4%
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
✓29.7%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
✓57.0%
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
✓81.1%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
✓58.5%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
✓78.1%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
56.2%
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y y) x))))
Compiler

Compiled 169 to 129 computations (23.7% saved)

regimes298.0ms (2.4%)

Memory
0.9MiB live, 296.2MiB allocated; 232ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 2
4 → 1
5 → 2
9 → 3
11 → 3
12 → 4
15 → 3
19 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
Outputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
Call 2
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
Outputs
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
Call 3
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
Outputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
Call 4
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
Outputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
Call 5
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y y) x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
Outputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
Call 6
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y y) x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64)) y) x)))
Outputs
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
Call 7
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y y) x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64)) y) x)))
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
Outputs
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
Call 8
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y y) x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64)) y) x)))
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 c y))))
Outputs
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
Call 9
Inputs
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y #s(approx (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))) (*.f64 c x))))
(*.f64 c #s(approx (log (- (- (* (exp x) y) y) -1)) (*.f64 x y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c (*.f64 y (expm1.f64 x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (log.f64 (fma.f64 #s(approx (- (exp x) 1) x) y #s(literal 1 binary64))) c)
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y y) x))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 c #s(approx (* y (- (exp x) 1)) (*.f64 x (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (*.f64 y (log.f64 (E.f64))))))
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64)) y) x)))
(*.f64 (log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64))) c)
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 c y))))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))) (*.f64 y (log.f64 (E.f64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))) (*.f64 c (*.f64 y (log.f64 (E.f64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 x (fma.f64 c (*.f64 y (log.f64 (E.f64))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 x (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 y (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))))))
Outputs
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
#s(approx (* c (log (+ 1 (* (- (exp x) 1) y)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 y (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 c (expm1.f64 x)))))
(*.f64 c (log1p.f64 (*.f64 #s(approx (- (exp x) 1) x) y)))
Calls

53 calls:

142.0ms
(pow.f64 (E.f64) x)
10.0ms
c
6.0ms
(pow.f64 (E.f64) x)
6.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
6.0ms
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
Results
AccuracySegmentsBranch
58.5%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
58.5%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
58.5%1(pow.f64 (E.f64) x)
58.5%1x
58.5%1y
58.5%1c
60.8%2(pow.f64 (E.f64) x)
60.8%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
63.3%2c
61.1%2x
58.5%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
58.5%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
58.5%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
58.5%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
61.8%2y
78.1%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
78.1%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
78.1%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
78.1%1x
78.1%1(pow.f64 (E.f64) x)
78.1%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
78.1%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
78.1%1c
78.1%1y
83.6%2y
81.1%1(pow.f64 (E.f64) x)
81.1%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
81.1%1x
81.1%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
81.1%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
81.1%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
85.6%3y
84.4%3(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
91.9%3y
84.8%2(pow.f64 (E.f64) x)
84.8%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
93.5%4(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
90.2%2(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
90.2%2(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
89.9%2(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
83.1%2c
84.8%2x
94.7%4y
99.8%3y
93.5%1(pow.f64 (E.f64) x)
93.5%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
93.5%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
93.5%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
93.5%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
93.5%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
93.5%1c
93.5%1x
99.8%3y
Compiler

Compiled 735 to 474 computations (35.5% saved)

bsearch53.0ms (0.4%)

Memory
-8.6MiB live, 82.0MiB allocated; 18ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
3.400222320601803e-18
8.368368856743748e-17
26.0ms
-37.07010799818499
-0.0012738055286999664
Samples
30.0ms151×1valid
5.0ms89×0valid
Compiler

Compiled 568 to 471 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 13.0ms (56.9% of total)
ival-mult!: 4.0ms (17.5% of total)
ival-log1p: 3.0ms (13.1% of total)
adjust: 2.0ms (8.8% of total)
ival-sub!: 1.0ms (4.4% of total)

bsearch144.0ms (1.1%)

Memory
20.0MiB live, 70.0MiB allocated; 27ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
4.869990569387066e-38
1.0054668135329008e-29
101.0ms
-9.36420464871487e-15
-1.298724105609506e-25
Samples
118.0ms192×1valid
7.0ms112×0valid
Compiler

Compiled 490 to 452 computations (7.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-exp: 83.0ms (83.8% of total)
ival-mult!: 6.0ms (6.1% of total)
adjust: 4.0ms (4% of total)
ival-log1p: 4.0ms (4% of total)
ival-sub!: 2.0ms (2% of total)

bsearch73.0ms (0.6%)

Memory
-19.3MiB live, 70.0MiB allocated; 22ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.400222320601803e-18
8.368368856743748e-17
21.0ms
-69326.23977164879
-37.07010799818499
40.0ms
-5.102923280583792e+214
-1.9861660057145254e+208
Samples
32.0ms165×1valid
13.0ms107×0valid
5.0ms34×1invalid
0.0ms4×0invalid
Compiler

Compiled 621 to 585 computations (5.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-exp: 20.0ms (48.9% of total)
ival-log1p: 12.0ms (29.4% of total)
ival-mult!: 5.0ms (12.2% of total)
adjust: 3.0ms (7.3% of total)
ival-sub!: 2.0ms (4.9% of total)

bsearch2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.400222320601803e-18
8.368368856743748e-17
1.0ms
-69326.23977164879
-37.07010799818499
Compiler

Compiled 450 to 405 computations (10% saved)

bsearch113.0ms (0.9%)

Memory
25.6MiB live, 120.6MiB allocated; 30ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
90.0ms
1.0760533552772681e+213
2.0486437785571787e+230
17.0ms
-69326.23977164879
-37.07010799818499
Samples
54.0ms235×1valid
16.0ms84×1invalid
7.0ms120×0invalid
1.0ms21×0valid
Compiler

Compiled 603 to 525 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-exp: 34.0ms (53.7% of total)
ival-log1p: 14.0ms (22.1% of total)
ival-mult!: 8.0ms (12.6% of total)
adjust: 5.0ms (7.9% of total)
ival-sub!: 3.0ms (4.7% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-69326.23977164879
-37.07010799818499
Compiler

Compiled 303 to 255 computations (15.8% saved)

bsearch98.0ms (0.8%)

Memory
-3.2MiB live, 40.8MiB allocated; 23ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
94.0ms
1088454417934502.5
2728575249217196000.0
Samples
86.0ms84×1valid
3.0ms44×0valid
Compiler

Compiled 431 to 303 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-exp: 79.0ms (93.2% of total)
ival-mult!: 2.0ms (2.4% of total)
ival-log1p: 2.0ms (2.4% of total)
adjust: 1.0ms (1.2% of total)
ival-sub!: 1.0ms (1.2% of total)

derivations6.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 409 to 89 computations (78.2% saved)

preprocess139.0ms (1.1%)

Memory
-25.6MiB live, 167.7MiB allocated; 98ms collecting garbage
Remove

(negabs c)

Compiler

Compiled 1 246 to 563 computations (54.8% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...