Asymptote A

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB 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
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample972.0ms (41.1%)

Memory
55.8MiB live, 1 071.3MiB allocated; 174ms collecting garbage
Samples
440.0ms4 016×1valid
186.0ms4 239×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 469.0ms
ival-sub!: 131.0ms (27.9% of total)
ival-div!: 121.0ms (25.8% of total)
ival-add!: 120.0ms (25.6% of total)
adjust: 96.0ms (20.5% of total)
Bogosity

preprocess76.0ms (3.2%)

Memory
-15.5MiB live, 30.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01435
16433
231133
3154333
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Symmetry

(abs x)

Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
7 → 34
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (- x 1)) #s(hole binary64 -1))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) 1 (+ x 1) x (/ 1 (- x 1)) (- x 1))
1.0ms
x
@-inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) 1 (+ x 1) x (/ 1 (- x 1)) (- x 1))
1.0ms
x
@0
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) 1 (+ x 1) x (/ 1 (- x 1)) (- x 1))

rewrite187.0ms (7.9%)

Memory
-18.7MiB live, 186.5MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126623
0132559
1851551
24203551
09439527
119302527
Stop Event
saturated
node-limit
iter-limit
Counts
41 → 124
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (- x 1)) #s(hole binary64 -1))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Outputs
(*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) x)
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) x)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) x)
(+.f64 #s(literal -1 binary64) x)
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(+.f64 x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (+.f64 x x)) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (+.f64 x x)) #s(literal 2 binary64)) x) x #s(literal 2 binary64)))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (+ x 1)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ 1 (+ x 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) x))
#s(approx (/ 1 (+ x 1)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))) x) x))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))) x) x))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) x))
#s(approx (/ 1 (+ x 1)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))) x) x))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))) x) x))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))

eval10.0ms (0.4%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 684 to 323 computations (52.8% saved)

prune5.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1065111
Fresh000
Picked101
Done000
Total1075112
Accuracy
99.6%
Counts
112 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
76.3%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
48.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
52.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
49.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 102 to 96 computations (5.9% saved)

series16.0ms (0.7%)

Memory
-39.6MiB live, 15.1MiB allocated; 12ms collecting garbage
Counts
21 → 51
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
(fma.f64 x (+.f64 x x) #s(literal 2 binary64))
(+.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 2))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 -2))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* x (+ 2 (* -2 x))) 2)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- -1 x) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ -2 (* x x)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (* 2 (/ 1 x)) 2) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- -1 x) #s(hole binary64 (* -1 x)))
#s(approx (- -1 x) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (+ (* x (+ x x)) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* x (+ x x)) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) (/ (- (- x -1) (- x 1)) (- -1 x)) (- (- x -1) (- x 1)) (- x -1) x -1 (- x 1) 1 (- -1 x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) 2 (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) -2 (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* x (+ x x)) 2) (+ x x) (- (/ 1 (- x -1)) (/ 1 (- x 1))) (/ 1 (- x -1)) (/ 1 (- x 1)))
2.0ms
x
@-inf
((/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) (/ (- (- x -1) (- x 1)) (- -1 x)) (- (- x -1) (- x 1)) (- x -1) x -1 (- x 1) 1 (- -1 x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) 2 (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) -2 (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* x (+ x x)) 2) (+ x x) (- (/ 1 (- x -1)) (/ 1 (- x 1))) (/ 1 (- x -1)) (/ 1 (- x 1)))
2.0ms
x
@0
((/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) (/ (- (- x -1) (- x 1)) (- -1 x)) (- (- x -1) (- x 1)) (- x -1) x -1 (- x 1) 1 (- -1 x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) 2 (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) -2 (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* x (+ x x)) 2) (+ x x) (- (/ 1 (- x -1)) (/ 1 (- x 1))) (/ 1 (- x -1)) (/ 1 (- x 1)))

rewrite217.0ms (9.2%)

Memory
2.2MiB live, 187.7MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01981070
0215967
11349896
26519889
08160852
118645852
Stop Event
saturated
node-limit
iter-limit
Counts
72 → 392
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
(fma.f64 x (+.f64 x x) #s(literal 2 binary64))
(+.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 2))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 -2))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* x (+ 2 (* -2 x))) 2)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- -1 x) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ -2 (* x x)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (* 2 (/ 1 x)) 2) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- -1 x) #s(hole binary64 (* -1 x)))
#s(approx (- -1 x) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (+ (* x (+ x x)) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* x (+ x x)) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
Outputs
(*.f64 (*.f64 (/.f64 (+.f64 (-.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (-.f64 x x) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (-.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (-.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 (-.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 (-.f64 x x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (-.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x x) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (-.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (-.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
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#s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 #s(literal -2 binary64) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- -1 x) (neg.f64 x))
#s(approx (- -1 x) (-.f64 #s(literal -1 binary64) x))
#s(approx (+ (* x (+ x x)) 2) (*.f64 (+.f64 x x) x))
#s(approx (+ (* x (+ x x)) 2) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (/ 1 (- x -1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- x -1)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (- x -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) x))
#s(approx (/ 1 (- x -1)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))) x) x))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))) x) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (- x -1)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (- x -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) x))
#s(approx (/ 1 (- x -1)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))) x) x))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))) x) x))

eval32.0ms (1.4%)

Memory
41.2MiB live, 86.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 130 to 984 computations (53.8% saved)

prune11.0ms (0.5%)

Memory
-24.7MiB live, 20.2MiB allocated; 6ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3414345
Fresh000
Picked235
Done000
Total3437350
Accuracy
100.0%
Counts
350 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (+.f64 (-.f64 x x) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
50.7%
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
48.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
48.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
52.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
52.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
49.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 73 to 73 computations (0% saved)

series4.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
18 → 32
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (-.f64 x x) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (-.f64 x x) #s(literal -2 binary64))
(-.f64 x x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (/ -2 x) x) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ -2 x) #s(hole binary64 (/ -2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 -2))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* x (+ 2 (* -2 x))) 2)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- x x) #s(hole binary64 0))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (+ (* x x) (+ (* x x) 2)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* x x) (+ (* x x) 2)) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (* 2 (/ 1 x)) 2) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) -2 x (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* x x) (+ (* x x) 2)) (+ (* x x) 2) 2 (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1) 1 (/ (+ (- x x) -2) (+ (* x x) -1)) (+ (- x x) -2) (- x x) (+ (* x x) -1) -1)
1.0ms
x
@-inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) -2 x (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* x x) (+ (* x x) 2)) (+ (* x x) 2) 2 (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1) 1 (/ (+ (- x x) -2) (+ (* x x) -1)) (+ (- x x) -2) (- x x) (+ (* x x) -1) -1)
1.0ms
x
@0
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) -2 x (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* x x) (+ (* x x) 2)) (+ (* x x) 2) 2 (/ (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1)) (/ (- (- x -1) (- x 1)) (- -1 x)) (- x 1) 1 (/ (+ (- x x) -2) (+ (* x x) -1)) (+ (- x x) -2) (- x x) (+ (* x x) -1) -1)

rewrite183.0ms (7.8%)

Memory
-11.7MiB live, 179.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133708
0145640
1931508
24476504
09132481
120042481
Stop Event
saturated
node-limit
iter-limit
Counts
50 → 393
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (-.f64 x x) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (-.f64 x x) #s(literal -2 binary64))
(-.f64 x x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (/ -2 x) x) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ -2 x) #s(hole binary64 (/ -2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 -2))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* x (+ 2 (* -2 x))) 2)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- x x) #s(hole binary64 0))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (+ (* x x) (+ (* x x) 2)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* x x) (+ (* x x) 2)) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (* 2 (/ 1 x)) 2) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(hole binary64 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal -2 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 x x) (neg.f64 (neg.f64 x))) (/.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) x) (neg.f64 (neg.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (neg.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 x x) x) (/.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) x) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 x x)) (/.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(-.f64 (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
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#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (* x x) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x))
#s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))

eval34.0ms (1.5%)

Memory
35.1MiB live, 80.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 333 to 1 052 computations (54.9% saved)

prune19.0ms (0.8%)

Memory
-37.6MiB live, 21.5MiB allocated; 20ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3691370
Fresh000
Picked224
Done033
Total3716377
Accuracy
100.0%
Counts
377 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
99.6%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
48.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
52.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
52.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
49.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 60 to 60 computations (0% saved)

series1.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Counts
5 → 13
Calls
Call 1
Inputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
Outputs
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx x #s(hole binary64 x))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
((/ -2 (+ (* x x) -1)) -2 (+ (* x x) -1) x -1)
0.0ms
x
@inf
((/ -2 (+ (* x x) -1)) -2 (+ (* x x) -1) x -1)
0.0ms
x
@0
((/ -2 (+ (* x x) -1)) -2 (+ (* x x) -1) x -1)

rewrite206.0ms (8.7%)

Memory
32.7MiB live, 167.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047222
049208
1286205
21501205
08217193
122831193
Stop Event
saturated
node-limit
iter-limit
Counts
18 → 70
Calls
Call 1
Inputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx x #s(hole binary64 x))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ -2 (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
Outputs
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
#s(literal -2 binary64)
(*.f64 (+.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
x
#s(literal -1 binary64)
#s(approx (/ -2 (+ (* x x) -1)) #s(literal 2 binary64))
#s(approx (/ -2 (+ (* x x) -1)) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
#s(approx (/ -2 (+ (* x x) -1)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (+.f64 x x)) #s(literal 2 binary64)))
#s(approx (/ -2 (+ (* x x) -1)) (fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (+.f64 x x)) #s(literal 2 binary64)) x) x #s(literal 2 binary64)))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (/ -2 (+ (* x x) -1)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ -2 (+ (* x x) -1)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (/ -2 (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ -2 (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))

eval15.0ms (0.6%)

Memory
-40.9MiB live, 14.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 382 to 165 computations (56.8% saved)

prune4.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New65065
Fresh000
Picked011
Done055
Total65671
Accuracy
100.0%
Counts
71 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
99.6%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
48.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
52.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
52.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
49.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 126 to 108 computations (14.3% saved)

regimes6.0ms (0.3%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (+.f64 (-.f64 x x) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.6%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0.2%)

Memory
6.3MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.7%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.7%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.5%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.5%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.4%)

Memory
-37.3MiB live, 8.1MiB allocated; 3ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
Calls

2 calls:

7.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.2%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.2%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (/ (- (- x -1) (- x 1)) (- -1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
50.7%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
50.7%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
49.0%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
49.0%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch12.0ms (0.5%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.0027393183436596963
106535868.9090344
Samples
5.0ms160×0valid
Compiler

Compiled 234 to 251 computations (-7.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div!: 2.0ms (75.6% of total)
ival-sub!: 1.0ms (37.8% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0027393183436596963
106535868.9090344
Compiler

Compiled 214 to 231 computations (-7.9% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0027393183436596963
106535868.9090344
Compiler

Compiled 214 to 231 computations (-7.9% saved)

derivations185.0ms (7.8%)

Memory
-7.4MiB live, 178.0MiB allocated; 19ms collecting garbage
Stop Event
done
Compiler

Compiled 51 to 35 computations (31.4% saved)

preprocess137.0ms (5.8%)

Memory
-22.6MiB live, 118.5MiB allocated; 21ms collecting garbage
Remove

(abs x)

Compiler

Compiled 245 to 196 computations (20% saved)

end0.0ms (0%)

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

Profiling

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