Asymptote A

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
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)

sample2.3s (70%)

Memory
-209.8MiB live, 1 771.0MiB allocated; 1.8s collecting garbage
Samples
1.9s3 963×1valid
169.0ms4 293×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-add!: 1.1s (61.4% of total)
adjust: 350.0ms (18.8% of total)
ival-div!: 251.0ms (13.5% of total)
ival-sub!: 117.0ms (6.3% of total)
Bogosity

preprocess83.0ms (2.6%)

Memory
-12.6MiB live, 41.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01436
14336
215034
374233
4516533
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.4%
(-.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
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Counts
7 → 39
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))
#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 -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))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#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 (/ 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))

rewrite182.0ms (5.6%)

Memory
43.3MiB live, 181.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131652
0137603
1699598
07494578
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
46 → 142
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))
#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 -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))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#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 (/ 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 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 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))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
(/.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 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.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 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 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)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #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 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.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 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #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 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 x (*.f64 (neg.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 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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))))
(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 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #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))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #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(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) #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 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (- x 1) #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 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.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 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 1 (+ x 1)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 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) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

eval67.0ms (2.1%)

Memory
-25.4MiB live, 29.8MiB allocated; 62ms collecting garbage
Compiler

Compiled 1 003 to 483 computations (51.8% saved)

prune6.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1277134
Fresh000
Picked101
Done000
Total1287135
Accuracy
99.3%
Counts
135 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
80.4%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
56.1%
#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)))
56.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
43.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)))
43.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
56.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 150 to 148 computations (1.3% saved)

series5.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
20 → 67
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.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)
(fma.f64 x x #s(literal -1 binary64))
#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)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -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)) #s(hole binary64 -2))
#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 -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (+ x x)) 2) #s(hole binary64 2))
#s(approx (+ (* x (+ x x)) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#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 (/ 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) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -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)) (+ (* 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) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 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 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#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 (+ (* 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)) (/ 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 (/ 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 (* -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
1.0ms
x
@inf
((/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- (- x 1) (- x -1)) (- x 1) x 1 (- x -1) -1 (+ (* x x) -1) (- (/ 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)))
1.0ms
x
@-inf
((/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- (- x 1) (- x -1)) (- x 1) x 1 (- x -1) -1 (+ (* x x) -1) (- (/ 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)))
1.0ms
x
@0
((/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- (- x 1) (- x -1)) (- x 1) x 1 (- x -1) -1 (+ (* x x) -1) (- (/ 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)))

rewrite75.0ms (2.3%)

Memory
-24.4MiB live, 73.4MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841291
01991214
08781190
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
87 → 133
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.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)
(fma.f64 x x #s(literal -1 binary64))
#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)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -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)) #s(hole binary64 -2))
#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 -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (+ x x)) 2) #s(hole binary64 2))
#s(approx (+ (* x (+ x x)) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#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 (/ 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) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -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)) (+ (* 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) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 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 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#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 (+ (* 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)) (/ 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 (/ 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 (* -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 (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)))
(-.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 (*.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)))) (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (fma.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))))))
(-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(-.f64 x (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #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 x 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 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))) (-.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)))))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (+.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
(/.f64 (-.f64 (*.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 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 3 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))) (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 (/.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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #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))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x #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) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(literal 2 binary64))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 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 -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (-.f64 (*.f64 x 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 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ -2 (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* x (+ x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* x (+ x x)) 2) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (- (/ 1 (- x -1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (- x -1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (- x -1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (- x -1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 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)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (- x -1)) (fma.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x #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 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (- x 1) x)
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- x -1) x)
#s(approx (- x -1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (* x (+ x x)) 2) (*.f64 (+.f64 x x) x))
#s(approx (+ (* x (+ x x)) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (- x -1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (- x -1)) (/ 1 (- x 1))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (- (/ 1 (- x -1)) (/ 1 (- x 1))) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (- x -1)) (/ 1 (- x 1))) (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#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 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 1 (- x -1)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) x))
#s(approx (/ 1 (- x 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- x 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (/ 1 (- x 1)) (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (- x 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (/ 1 (- x -1)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal 1 binary64)) x)))

eval13.0ms (0.4%)

Memory
-17.6MiB live, 27.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 019 to 435 computations (57.3% saved)

prune4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1243127
Fresh202
Picked235
Done000
Total1286134
Accuracy
100.0%
Counts
134 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
56.1%
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
56.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
44.2%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
43.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
56.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 68 to 68 computations (0% saved)

series5.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
15 → 36
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 (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(+.f64 x x)
#s(literal 2 binary64)
(*.f64 x x)
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
(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 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (+ (* (+ x x) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ x x) x) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (- x 1) (- x -1)) #s(hole binary64 -2))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 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 (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -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)) (+ (* 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) x) 2) (* x x)) 2) #s(hole binary64 (* 2 (pow x 4))))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))))
#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 (+ (* 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
2.0ms
x
@inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) -2 x (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) (+ (* (+ x x) x) 2) (+ x x) 2 (* x x) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- (- x 1) (- x -1)) (+ (* x x) -1) -1)
2.0ms
x
@-inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) -2 x (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) (+ (* (+ x x) x) 2) (+ x x) 2 (* x x) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- (- x 1) (- x -1)) (+ (* x x) -1) -1)
2.0ms
x
@0
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) -2 x (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) (+ (* (+ x x) x) 2) (+ x x) 2 (* x x) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- (- x 1) (- x -1)) (+ (* x x) -1) -1)

rewrite66.0ms (2%)

Memory
20.1MiB live, 69.9MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100791
0111761
0449734
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
51 → 84
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 (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(+.f64 x x)
#s(literal 2 binary64)
(*.f64 x x)
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
(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 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (+ (* (+ x x) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ x x) x) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (- x 1) (- x -1)) #s(hole binary64 -2))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 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 (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -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)) (+ (* 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) x) 2) (* x x)) 2) #s(hole binary64 (* 2 (pow x 4))))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))))
#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 (+ (* 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
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) x) x))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)))))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(fma.f64 x (+.f64 x x) #s(literal 2 binary64))
(+.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #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 x 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 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (/ -2 x) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ -2 x) (/.f64 #s(literal -2 binary64) x))
#s(approx x x)
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(literal 2 binary64))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ x x) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ x x) x) 2) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (-.f64 (*.f64 x 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))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ x x) x) 2) (* x x)) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ x x) x) 2) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ x x) x) 2) (*.f64 (+.f64 (/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))

eval83.0ms (2.5%)

Memory
-30.0MiB live, 16.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 597 to 256 computations (57.1% saved)

prune3.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New66167
Fresh000
Picked033
Done033
Total66773
Accuracy
100.0%
Counts
73 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
65.6%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64))))
56.1%
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
56.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
44.2%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
43.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
56.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 86 to 84 computations (2.3% saved)

series4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
11 → 24
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64))))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (*.f64 x x) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 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)) #s(hole binary64 -2))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) #s(hole binary64 -1))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (* (* x x) (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) (* x x)) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) -1) #s(hole binary64 1))
#s(approx (- (* x x) -1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 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)) (/ (- (* (* x x) (* x x)) 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 x) (* x x)) 1) (- (* x x) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (* (* x x) (* x x)) 1) #s(hole binary64 (pow x 4)))
#s(approx (- (* (* x x) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#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
1.0ms
x
@inf
((/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (- (- x 1) (- x -1)) -2 (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) (- (* (* x x) (* x x)) 1) (* (* x x) (* x x)) (* x x) x 1 (- (* x x) -1) -1)
1.0ms
x
@-inf
((/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (- (- x 1) (- x -1)) -2 (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) (- (* (* x x) (* x x)) 1) (* (* x x) (* x x)) (* x x) x 1 (- (* x x) -1) -1)
1.0ms
x
@0
((/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (- (- x 1) (- x -1)) -2 (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) (- (* (* x x) (* x x)) 1) (* (* x x) (* x x)) (* x x) x 1 (- (* x x) -1) -1)

rewrite133.0ms (4.1%)

Memory
-17.1MiB live, 127.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075597
086492
1398405
03849373
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
35 → 272
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64))))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (*.f64 x x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 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)) #s(hole binary64 -2))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) #s(hole binary64 -1))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (* (* x x) (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) (* x x)) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) -1) #s(hole binary64 1))
#s(approx (- (* x x) -1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 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)) (/ (- (* (* x x) (* x x)) 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 x) (* x x)) 1) (- (* x x) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (* (* x x) (* x x)) 1) #s(hole binary64 (pow x 4)))
#s(approx (- (* (* x x) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#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(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))) (fma.f64 x x #s(literal -1 binary64))))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.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 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.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)))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 x (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))))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (fma.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 (*.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #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 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
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(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (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 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal -1 binary64)
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) #s(literal 2 binary64))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (fma.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (fma.f64 (*.f64 (fma.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x #s(literal 2 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) #s(literal -1 binary64))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (* (* x x) (* x x)) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) (* x x)) 1) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#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 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) (*.f64 x x))
#s(approx (/ (- (* (* x x) (* x x)) 1) (- (* x x) -1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))
#s(approx (- (* (* x x) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (- (* (* x x) (* x x)) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 x x) x)) x))
#s(approx (- (* x x) -1) (*.f64 x x))
#s(approx (- (* x x) -1) (fma.f64 x x #s(literal 1 binary64)))

eval25.0ms (0.8%)

Memory
8.2MiB live, 53.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 582 to 1 053 computations (59.2% saved)

prune9.0ms (0.3%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New2573260
Fresh000
Picked101
Done066
Total2589267
Accuracy
100.0%
Counts
267 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
93.2%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
10.1%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (/.f64 #s(approx (- (* (* x x) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 x x) #s(literal -1 binary64))))
71.1%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
56.1%
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
56.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
44.2%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
43.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
56.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 243 to 188 computations (22.6% saved)

regimes10.0ms (0.3%)

Memory
-34.4MiB live, 12.0MiB allocated; 2ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#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)))
#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(approx (- (- x 1) (- x -1)) #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))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.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 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (+.f64 x x)) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (+.f64 x x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (/.f64 #s(approx (- (* (* x x) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
Outputs
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
x
3.0ms
(-.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
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.3%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#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)))
#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
99.2%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)

regimes3.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#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)))
#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:

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
98.8%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
98.8%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#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)))
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:

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
98.3%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
98.3%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB 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
56.3%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
56.3%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch10.0ms (0.3%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.0015859620185399708
2.1034162374926715
Samples
4.0ms128×0valid
Compiler

Compiled 190 to 203 computations (-6.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div!: 1.0ms (49.4% 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
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0015859620185399708
2.1034162374926715
Compiler

Compiled 174 to 187 computations (-7.5% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0015859620185399708
2.1034162374926715
Compiler

Compiled 174 to 187 computations (-7.5% saved)

derivations135.0ms (4.1%)

Memory
-19.1MiB live, 76.6MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 46 to 31 computations (32.6% saved)

preprocess41.0ms (1.2%)

Memory
2.2MiB live, 95.2MiB allocated; 6ms collecting garbage
Remove

(abs x)

Compiler

Compiled 226 to 178 computations (21.2% saved)

end0.0ms (0%)

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

Profiling

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