sqrtexp (problem 3.4.4)

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
3.1MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample980.0ms (53.1%)

Memory
45.9MiB live, 1 011.3MiB allocated; 215ms collecting garbage
Samples
476.0ms8 256×0valid
154.0ms2 813×0exit
Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-expm1: 137.0ms (39.5% of total)
ival-sqrt: 93.0ms (26.8% of total)
ival-mult!: 57.0ms (16.4% of total)
ival-div!: 57.0ms (16.4% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess35.0ms (1.9%)

Memory
26.8MiB live, 26.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01941
16039
219239
3108939
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Compiler

Compiled 22 to 20 computations (9.1% saved)

series6.0ms (0.3%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
10 → 29
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (exp (* 2 x)) #s(hole binary64 1))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (exp (* 2 x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
Calls

3 calls:

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

rewrite238.0ms (12.9%)

Memory
-32.5MiB live, 168.0MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119548
0130506
1760396
06887336
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
39 → 137
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (exp (* 2 x)) #s(hole binary64 1))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (exp (* 2 x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
Outputs
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (*.f64 (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 #s(literal 4 binary64) x))) (expm1.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(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))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) x))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 #s(literal 4 binary64) x)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 #s(literal 4 binary64) x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(expm1.f64 (+.f64 x x))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 4 binary64) x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 #s(literal 4 binary64) x)))))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) (-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))))))
(fma.f64 (cosh.f64 x) (exp.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x)))
(fma.f64 (exp.f64 x) (cosh.f64 x) (*.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x)) (cosh.f64 (+.f64 x x)))
(exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(exp.f64 (+.f64 x x))
(+.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 (exp.f64 x) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(+.f64 x x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 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))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 7/192 binary64) x #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp (* 2 x)) 1) (+.f64 x x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (exp (* 2 x)) #s(literal 1 binary64))
#s(approx (exp (* 2 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- (exp (* 2 x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (exp (* 2 x)) (exp.f64 (+.f64 x x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))

eval11.0ms (0.6%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 101 to 579 computations (47.4% saved)

prune9.0ms (0.5%)

Memory
-34.6MiB live, 10.9MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1265131
Fresh000
Picked101
Done000
Total1275132
Accuracy
100.0%
Counts
132 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
69.3%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
67.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
73.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
99.0%
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
Compiler

Compiled 108 to 108 computations (0% saved)

series54.0ms (2.9%)

Memory
19.4MiB live, 65.1MiB allocated; 4ms collecting garbage
Counts
21 → 35
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
Outputs
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (* 1/2 (log 2))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (+ (* 1/4 x) (* 1/2 (log 2)))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (+ (* 1/2 (log 2)) (* x (+ 1/4 (* 1/16 x))))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (+ (* 1/2 (log 2)) (* x (+ 1/4 (* x (+ 1/16 (* -1/384 (pow x 2)))))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (* 1/2 (log (+ 1 (exp x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x)))))
Calls

3 calls:

TimeVariablePointExpression
30.0ms
x
@inf
((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 1 (exp (* (log (- (exp x) -1)) 1/2)) (* (log (- (exp x) -1)) 1/2) (log (- (exp x) -1)))
21.0ms
x
@-inf
((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 1 (exp (* (log (- (exp x) -1)) 1/2)) (* (log (- (exp x) -1)) 1/2) (log (- (exp x) -1)))
1.0ms
x
@0
((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 1 (exp (* (log (- (exp x) -1)) 1/2)) (* (log (- (exp x) -1)) 1/2) (log (- (exp x) -1)))

rewrite141.0ms (7.6%)

Memory
18.6MiB live, 115.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0162682
0179616
1969528
08439481
Stop Event
iter-limit
node-limit
iter-limit
Counts
56 → 249
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (* 1/2 (log 2))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (+ (* 1/4 x) (* 1/2 (log 2)))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (+ (* 1/2 (log 2)) (* x (+ 1/4 (* 1/16 x))))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (+ (* 1/2 (log 2)) (* x (+ 1/4 (* x (+ 1/16 (* -1/384 (pow x 2)))))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (* (log (- (exp x) -1)) 1/2) #s(hole binary64 (* 1/2 (log (+ 1 (exp x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x)))))
Outputs
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
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(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 x x))))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) #s(literal 2 binary64))
(+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) x) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal -2 binary64))
(log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- (exp x) -1)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (exp x) -1)) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (exp x) -1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 7/192 binary64) x #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (log (- (exp x) -1)) 1/2) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (log (- (exp x) -1)) 1/2) (fma.f64 #s(literal 1/4 binary64) x (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (log (- (exp x) -1)) 1/2) (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/4 binary64)) x (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (log (- (exp x) -1)) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/384 binary64) #s(literal 1/16 binary64)) x #s(literal 1/4 binary64)) x (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (log (- (exp x) -1)) (log.f64 #s(literal 2 binary64)))
#s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- x -2) (-.f64 x #s(literal -2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) x) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (log (- (exp x) -1)) 1/2) (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
#s(approx (log (- (exp x) -1)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))

eval34.0ms (1.8%)

Memory
-31.0MiB live, 57.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 503 to 1 107 computations (55.8% saved)

prune7.0ms (0.4%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2655270
Fresh000
Picked145
Done000
Total2669275
Accuracy
100.0%
Counts
275 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
69.3%
(sqrt.f64 (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
69.3%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
67.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
69.3%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))))
4.1%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))))
4.8%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
73.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
72.6%
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Compiler

Compiled 208 to 208 computations (0% saved)

series70.0ms (3.8%)

Memory
-0.4MiB live, 97.7MiB allocated; 16ms collecting garbage
Counts
28 → 39
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64))))
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64))
(sqrt.f64 (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (sqrt 2)))
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (* 1/2 (log 2))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (+ (* 1/4 x) (* 1/2 (log 2)))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (+ (* 1/2 (log 2)) (* x (+ 1/4 (* 1/16 x))))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (+ (* 1/2 (log 2)) (* x (+ 1/4 (* x (+ 1/16 (* -1/384 (pow x 2)))))))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/2 x) x) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* x x) 1/2) 2) #s(hole binary64 (+ 2 (* 1/2 (pow x 2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (* 1/2 (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
41.0ms
x
@-inf
((exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (* (* x x) 1/2) (* x x) x (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* 1/2 x) x) x) (* 1/2 x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ x (+ (* (* x x) 1/2) 2)) (+ (* (* x x) 1/2) 2) (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) 1 -1)
26.0ms
x
@inf
((exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (* (* x x) 1/2) (* x x) x (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* 1/2 x) x) x) (* 1/2 x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ x (+ (* (* x x) 1/2) 2)) (+ (* (* x x) 1/2) 2) (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) 1 -1)
2.0ms
x
@0
((exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (* (* x x) 1/2) (* x x) x (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* 1/2 x) x) x) (* 1/2 x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ x (+ (* (* x x) 1/2) 2)) (+ (* (* x x) 1/2) 2) (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) 1 -1)

rewrite141.0ms (7.6%)

Memory
32.3MiB live, 121.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821073
02011016
11128741
08137685
Stop Event
iter-limit
node-limit
iter-limit
Counts
67 → 285
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64))))
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64))
(sqrt.f64 (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (sqrt 2)))
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (* 1/2 (log 2))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (+ (* 1/4 x) (* 1/2 (log 2)))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (+ (* 1/2 (log 2)) (* x (+ 1/4 (* 1/16 x))))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (+ (* 1/2 (log 2)) (* x (+ 1/4 (* x (+ 1/16 (* -1/384 (pow x 2)))))))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/2 x) x) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* x x) 1/2) 2) #s(hole binary64 (+ 2 (* 1/2 (pow x 2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (exp (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2)) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) #s(hole binary64 (* 1/2 (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
Outputs
(*.f64 (pow.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))))))
(sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
(*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(log.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
(exp.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (sinh.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 #s(approx (- (exp x) -1) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (exp x) -1) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 #s(approx (- (exp x) -1) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 #s(approx (- (exp x) -1) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (exp x) -1) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- (exp x) -1)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (exp x) -1)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (exp x) -1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) (fma.f64 #s(literal 1/4 binary64) x (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/4 binary64)) x (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/384 binary64) #s(literal 1/16 binary64)) x #s(literal 1/4 binary64)) x (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
(exp.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (sinh.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))
#s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (* (* x x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (* 1/2 x) x) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (* x x) 1/2) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (* (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 1/2) (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
#s(approx (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/2) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x x)))
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))

eval40.0ms (2.2%)

Memory
-35.0MiB live, 62.8MiB allocated; 14ms collecting garbage
Compiler

Compiled 3 118 to 1 362 computations (56.3% saved)

prune9.0ms (0.5%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2790279
Fresh000
Picked055
Done044
Total2799288
Accuracy
100.0%
Counts
288 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
69.3%
(sqrt.f64 (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
69.3%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
67.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
69.3%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))))
4.1%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))))
4.8%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
73.6%
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
72.6%
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Compiler

Compiled 218 to 188 computations (13.8% saved)

regimes10.0ms (0.5%)

Memory
-27.8MiB live, 19.1MiB allocated; 3ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
Calls

3 calls:

4.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
100.0%1x
Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes6.0ms (0.4%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Accuracy

Total -45.9b remaining (-271.9%)

Threshold costs -45.9b (-271.9%)

Counts
7 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
Outputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
Calls

3 calls:

2.0ms
x
2.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
73.6%1(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
73.6%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
73.6%1x
Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations41.0ms (2.2%)

Memory
-17.6MiB live, 29.2MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 16 to 16 computations (0% saved)

preprocess14.0ms (0.7%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 27 to 26 computations (3.7% saved)

end0.0ms (0%)

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

Profiling

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