Asymptote B

Time bar (total: 3.2s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB 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)

sample560.0ms (17.5%)

Memory
16.6MiB live, 479.0MiB allocated; 38ms collecting garbage
Samples
341.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-div!: 99.0ms (51.3% of total)
ival-add!: 52.0ms (26.9% of total)
ival-sub!: 41.0ms (21.2% of total)
adjust: 2.0ms (1% of total)
Bogosity

preprocess188.0ms (5.9%)

Memory
-16.8MiB live, 43.6MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01437
14935
222833
3127233
4651633
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Symmetry

(abs x)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
7 → 38
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.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 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#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 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))
#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 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))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 1))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 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)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
Calls

3 calls:

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

rewrite1.1s (33.7%)

Memory
10.3MiB live, 773.9MiB allocated; 138ms collecting garbage
Counts
45 → 44
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.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 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#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 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))
#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 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))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 1))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 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)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.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 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(approx (/ 1 (- x 1)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (-.f64 (*.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ x (+ x 1)) x)
#s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x)))
#s(approx (/ x (+ x 1)) (fma.f64 (-.f64 (*.f64 x x) x) x x))
#s(approx (/ x (+ x 1)) (fma.f64 (*.f64 x x) (-.f64 (-.f64 x (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (fma.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 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 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- x 1) x)
#s(approx (- x 1) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ x (+ x 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
#s(approx (+ x 1) x)
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (- x 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))

eval4.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 262 to 108 computations (58.8% saved)

prune4.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh000
Picked011
Done000
Total38644
Accuracy
100.0%
Counts
44 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
44.8%
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
56.2%
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
56.0%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
44.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
44.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Compiler

Compiled 119 to 117 computations (1.7% saved)

series7.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
19 → 48
Calls
Call 1
Inputs
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#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 (+ x 1)) #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (- (* (* x x) -2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) -2) 1) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (* (* x x) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (+ 2 (pow x 2)) (pow x 2))))
#s(approx (/ 2 (* x x)) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (/ 2 (pow x 4))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (/ (+ 2 (* 2 (pow x 2))) (pow x 4))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 2 (pow x 2)))) (pow x 4))))
#s(approx (/ 2 (pow x 4)) #s(hole binary64 (/ 2 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#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 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 (+ x 1)) #s(hole binary64 1))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))
#s(approx (- (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (- (* (* x x) -2) 1) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))))
#s(approx (+ (/ 2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (/ 2 (* x x)) 1) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 1))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#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 (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ 1 (- x 1)) -1 (/ x (+ x 1)) 1 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (* (* x x) -2) 1) (* (* x x) -2) (* x x) x -2 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 2 (* x x)) 1) (/ 2 (* x x)) 2 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) (/ 2 (pow x 4)) (pow x 4) 4)
2.0ms
x
@0
((/ 1 (- x 1)) -1 (/ x (+ x 1)) 1 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (* (* x x) -2) 1) (* (* x x) -2) (* x x) x -2 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 2 (* x x)) 1) (/ 2 (* x x)) 2 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) (/ 2 (pow x 4)) (pow x 4) 4)
2.0ms
x
@-inf
((/ 1 (- x 1)) -1 (/ x (+ x 1)) 1 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (* (* x x) -2) 1) (* (* x x) -2) (* x x) x -2 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 2 (* x x)) 1) (/ 2 (* x x)) 2 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) (/ 2 (pow x 4)) (pow x 4) 4)

rewrite1.2s (38.2%)

Memory
5.5MiB live, 613.6MiB allocated; 71ms collecting garbage
Counts
67 → 61
Calls
Call 1
Inputs
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#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 (+ x 1)) #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (- (* (* x x) -2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) -2) 1) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (* (* x x) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (+ 2 (pow x 2)) (pow x 2))))
#s(approx (/ 2 (* x x)) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (/ 2 (pow x 4))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (/ (+ 2 (* 2 (pow x 2))) (pow x 4))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 2 (pow x 2)))) (pow x 4))))
#s(approx (/ 2 (pow x 4)) #s(hole binary64 (/ 2 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#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 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 (+ x 1)) #s(hole binary64 1))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))
#s(approx (- (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (- (* (* x x) -2) 1) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))))
#s(approx (+ (/ 2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (/ 2 (* x x)) 1) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 1))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 2 (pow x 4)) (+ (/ 2 (* x x)) 1)) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#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 (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
Outputs
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ 1 (- x 1)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (-.f64 (*.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ x (+ x 1)) x)
#s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x)))
#s(approx (/ x (+ x 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))
#s(approx (/ x (+ x 1)) (fma.f64 (-.f64 (-.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) x))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- (* (* x -2) x) 1) #s(literal -1 binary64))
#s(approx (- (* (* x -2) x) 1) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (* (* x -2) x) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
#s(approx (* x x) (*.f64 x x))
#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 x x)) #s(literal 1 binary64)))
#s(approx (/ (/ 2 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (+ (+ (/ (/ 2 x) x) (/ 2 (pow x 4))) 1) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (+ (/ (/ 2 x) x) (/ 2 (pow x 4))) 1) (/.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (+ (/ (/ 2 x) x) (/ 2 (pow x 4))) 1) (/.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ 2 (pow x 4)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ 1 (- x 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- x 1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ x (+ x 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (fma.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
#s(approx (- (* (* x -2) x) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
#s(approx (- (* (* x -2) x) 1) (neg.f64 (fma.f64 x (+.f64 x x) #s(literal 1 binary64))))
#s(approx (+ (/ (/ 2 x) x) 1) #s(literal 1 binary64))
#s(approx (+ (+ (/ (/ 2 x) x) (/ 2 (pow x 4))) 1) #s(literal 1 binary64))
#s(approx (+ (+ (/ (/ 2 x) x) (/ 2 (pow x 4))) 1) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (+ (/ (/ 2 x) x) (/ 2 (pow x 4))) 1) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))

eval7.0ms (0.2%)

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

Compiled 354 to 131 computations (63% saved)

prune5.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New57057
Fresh000
Picked055
Done011
Total57663
Accuracy
100.0%
Counts
63 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
44.8%
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
56.2%
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
56.0%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
44.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
44.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Compiler

Compiled 114 to 92 computations (19.3% saved)

regimes5.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 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 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
100.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes24.0ms (0.7%)

Memory
-41.0MiB live, 4.8MiB allocated; 2ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Calls

2 calls:

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

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
Calls

2 calls:

2.0ms
x
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
99.6%2x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
Outputs
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(approx (/ x (+ x 1)) #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 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.5%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
99.5%2x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB 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)) #s(literal -1 binary64))
Outputs
#s(approx (/ 1 (- x 1)) #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 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
56.2%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
56.2%1x
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch10.0ms (0.3%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.06525323722735019
1848.1811702724049
Samples
4.0ms128×0valid
Compiler

Compiled 222 to 235 computations (-5.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div!: 1.0ms (49.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.06525323722735019
1848.1811702724049
Compiler

Compiled 166 to 179 computations (-7.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.06525323722735019
1848.1811702724049
Compiler

Compiled 110 to 123 computations (-11.8% saved)

derivations1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 46 to 29 computations (37% saved)

preprocess74.0ms (2.3%)

Memory
6.3MiB live, 51.8MiB allocated; 7ms collecting garbage
Remove

(abs x)

Compiler

Compiled 201 to 156 computations (22.4% saved)

end0.0ms (0%)

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

Profiling

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