Linear.Quaternion:$clog from linear-1.19.1.3

Time bar (total: 1.4s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze17.0ms (1.2%)

Memory
36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%0.1%0%6.2%0%6
75%65.6%21.9%0.1%0%12.5%0%7
80%68.7%17.2%0.1%0%14%0%8
85.7%70.2%11.7%0.1%0%18%0%9
88.9%71.8%9%0.1%0%19.1%0%10
92.3%72.6%6%0.1%0%21.3%0%11
94.1%73.4%4.6%0.1%0%22%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample686.0ms (47.8%)

Memory
26.9MiB live, 1 472.5MiB allocated; 289ms collecting garbage
Samples
425.0ms8 256×0valid
12.0ms324×0invalid
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-sqrt: 79.0ms (36.5% of total)
ival-add!: 76.0ms (35.1% of total)
ival-mult!: 59.0ms (27.3% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess100.0ms (7%)

Memory
-15.7MiB live, 30.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01740
14240
210740
318540
441840
5202040
6466340
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.0%
(sqrt.f64 (+.f64 (*.f64 x x) y))
Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series5.0ms (0.4%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
5 → 30
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
Outputs
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (/ (pow x 2) (sqrt y))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt y) 3))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt y) 5))) (* 1/8 (/ 1 (pow (sqrt y) 3))))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (+ (* x x) y) #s(hole binary64 y))
#s(approx (+ (* x x) y) #s(hole binary64 (+ y (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (/ y (pow x 2))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (sqrt (pow x 2))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* 1/2 (/ y (sqrt (pow x 2)))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* y (+ (* -1/8 (/ y (pow (sqrt (pow x 2)) 3))) (* 1/2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* y (+ (* y (- (* 1/16 (/ y (pow (sqrt (pow x 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow x 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (sqrt (/ 1 y)))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 6) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* y (+ 1 (/ (pow x 2) y)))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 y))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 6) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms
x
@-inf
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms
y
@inf
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms
x
@0
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms
y
@-inf
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)

rewrite158.0ms (11%)

Memory
-14.2MiB live, 277.0MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156795
0159761
1831704
08176638
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
35 → 97
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (/ (pow x 2) (sqrt y))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt y) 3))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt y) 5))) (* 1/8 (/ 1 (pow (sqrt y) 3))))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (+ (* x x) y) #s(hole binary64 y))
#s(approx (+ (* x x) y) #s(hole binary64 (+ y (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (/ y (pow x 2))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (sqrt (pow x 2))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* 1/2 (/ y (sqrt (pow x 2)))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* y (+ (* -1/8 (/ y (pow (sqrt (pow x 2)) 3))) (* 1/2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* y (+ (* y (- (* 1/16 (/ y (pow (sqrt (pow x 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow x 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (sqrt (/ 1 y)))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 6) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* y (+ 1 (/ (pow x 2) y)))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 y))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 6) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))))
Outputs
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y))) (sqrt.f64 (-.f64 (*.f64 x x) y)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x)))) (sqrt.f64 (-.f64 y (*.f64 x x))))
(/.f64 (hypot.f64 (*.f64 (sqrt.f64 y) y) (*.f64 x (*.f64 x x))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (hypot.f64 (*.f64 (sqrt.f64 y) y) (*.f64 x (*.f64 x x))) (sqrt.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))))
(sqrt.f64 (fma.f64 x x y))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y))) (neg.f64 (-.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x)))) (neg.f64 (-.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y)) (-.f64 (*.f64 x x) y))
(/.f64 (*.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x))) (-.f64 y (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x y)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) y)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) y)
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) y)
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) y)
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 x) (neg.f64 x) y)
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) y)
(fma.f64 x x y)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) y)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) y)
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 x x))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 y (*.f64 x x))))
(-.f64 y (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x))))))
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))))
(+.f64 (*.f64 x x) y)
(+.f64 y (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
y
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) x) x (sqrt.f64 y)))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (sqrt.f64 y) y))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x) x (sqrt.f64 y)))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) y))) x) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x) x (sqrt.f64 y)))
#s(approx (+ (* x x) y) y)
#s(approx (+ (* x x) y) (fma.f64 x x y))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (*.f64 y (/.f64 y (*.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 x (fma.f64 (*.f64 y (/.f64 y (*.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 y (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))) x))
#s(approx (+ (* x x) y) (*.f64 (*.f64 (-.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (*.f64 y (/.f64 y (*.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (neg.f64 (fma.f64 x (fma.f64 (*.f64 y (/.f64 y (*.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 y (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ (* x x) y)) x)
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (fma.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) y x))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) y (/.f64 #s(literal 1/2 binary64) x)) y x))
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
#s(approx (sqrt (+ (* x x) y)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/8 binary64) (fma.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 y (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x)) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (*.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/8 binary64) (*.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64)))) (/.f64 y (sqrt.f64 y))))
#s(approx (+ (* x x) y) (fma.f64 (/.f64 (*.f64 x x) y) y y))
#s(approx (sqrt (+ (* x x) y)) (neg.f64 (/.f64 y (sqrt.f64 y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (neg.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/8 binary64) (fma.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (neg.f64 (fma.f64 y (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x)) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (*.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/8 binary64) (*.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64)))) (/.f64 y (sqrt.f64 y)))))
#s(approx (+ (* x x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1 binary64))))

eval10.0ms (0.7%)

Memory
34.8MiB live, 34.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 596 to 340 computations (78.7% saved)

prune7.0ms (0.5%)

Memory
-22.6MiB live, 16.7MiB allocated; 4ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New88593
Fresh000
Picked011
Done000
Total88694
Accuracy
99.9%
Counts
94 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.0%
(sqrt.f64 (fma.f64 x x y))
✓67.0%
(sqrt.f64 (+.f64 (*.f64 x x) y))
▶38.4%
(sqrt.f64 #s(approx (+ (* x x) y) y))
▶38.1%
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
▶1.2%
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
▶64.0%
#s(approx (sqrt (+ (* x x) y)) x)
Compiler

Compiled 88 to 67 computations (23.9% saved)

series6.0ms (0.4%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Counts
12 → 33
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 x x y))
(fma.f64 x x y)
x
y
#s(approx (sqrt (+ (* x x) y)) x)
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (+ (* x x) y) y)
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
(/.f64 y (sqrt.f64 y))
(sqrt.f64 y)
Outputs
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (/ (pow x 2) (sqrt y))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt y) 3))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt y) 5))) (* 1/8 (/ 1 (pow (sqrt y) 3))))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (+ (* x x) y) #s(hole binary64 y))
#s(approx (+ (* x x) y) #s(hole binary64 (+ y (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (/ y (pow x 2))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (sqrt (pow x 2))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* 1/2 (/ y (sqrt (pow x 2)))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* y (+ (* -1/8 (/ y (pow (sqrt (pow x 2)) 3))) (* 1/2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* y (+ (* y (- (* 1/16 (/ y (pow (sqrt (pow x 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow x 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (/ y (sqrt y)) #s(hole binary64 (/ y (sqrt y))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (sqrt (/ 1 y)))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 6) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* y (+ 1 (/ (pow x 2) y)))))
#s(approx (/ y (sqrt y)) #s(hole binary64 (/ 1 (sqrt (/ 1 y)))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 y))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 6) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))))
#s(approx (/ y (sqrt y)) #s(hole binary64 (/ -1 (sqrt (/ 1 y)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((sqrt (+ (* x x) y)) (+ (* x x) y) x y (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (/ y (sqrt y)) (sqrt y))
1.0ms
y
@inf
((sqrt (+ (* x x) y)) (+ (* x x) y) x y (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (/ y (sqrt y)) (sqrt y))
1.0ms
y
@0
((sqrt (+ (* x x) y)) (+ (* x x) y) x y (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (/ y (sqrt y)) (sqrt y))
1.0ms
x
@-inf
((sqrt (+ (* x x) y)) (+ (* x x) y) x y (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (/ y (sqrt y)) (sqrt y))
1.0ms
x
@inf
((sqrt (+ (* x x) y)) (+ (* x x) y) x y (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (/ y (sqrt y)) (sqrt y))

rewrite266.0ms (18.5%)

Memory
-57.8MiB live, 314.1MiB allocated; 178ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169837
0175797
1851738
08257703
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
45 → 104
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 x x y))
(fma.f64 x x y)
x
y
#s(approx (sqrt (+ (* x x) y)) x)
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (+ (* x x) y) y)
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
(/.f64 y (sqrt.f64 y))
(sqrt.f64 y)
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (/ (pow x 2) (sqrt y))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt y) 3))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt y) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt y) 5))) (* 1/8 (/ 1 (pow (sqrt y) 3))))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (+ (* x x) y) #s(hole binary64 y))
#s(approx (+ (* x x) y) #s(hole binary64 (+ y (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (/ y (pow x 2))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (sqrt (pow x 2))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* 1/2 (/ y (sqrt (pow x 2)))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* y (+ (* -1/8 (/ y (pow (sqrt (pow x 2)) 3))) (* 1/2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (+ (sqrt (pow x 2)) (* y (+ (* y (- (* 1/16 (/ y (pow (sqrt (pow x 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow x 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (/ y (sqrt y)) #s(hole binary64 (/ y (sqrt y))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (sqrt (/ 1 y)))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 6) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* y (+ 1 (/ (pow x 2) y)))))
#s(approx (/ y (sqrt y)) #s(hole binary64 (/ 1 (sqrt (/ 1 y)))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 y))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (sqrt (+ (* x x) y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 4) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 6) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ (pow x 2) (* (pow y 2) (sqrt (/ 1 y))))))))))))
#s(approx (+ (* x x) y) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))))
#s(approx (/ y (sqrt y)) #s(hole binary64 (/ -1 (sqrt (/ 1 y)))))
Outputs
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x)))) (sqrt.f64 (-.f64 y (*.f64 x x))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y))) (sqrt.f64 (-.f64 (*.f64 x x) y)))
(/.f64 (hypot.f64 (*.f64 (sqrt.f64 y) y) (*.f64 x (*.f64 x x))) (sqrt.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))))
(/.f64 (hypot.f64 (*.f64 (sqrt.f64 y) y) (*.f64 x (*.f64 x x))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x))))))
(sqrt.f64 (fma.f64 x x y))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x)))) (neg.f64 (-.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y))) (neg.f64 (-.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x))) (-.f64 y (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y)) (-.f64 (*.f64 x x) y))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x)))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x y)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) y)
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) y)
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64) y)
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) y)
(fma.f64 x x y)
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) y)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) y)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) y)
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 x) (neg.f64 x) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 x x))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)))
(-.f64 y (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 y (-.f64 y (*.f64 x x))))))
(+.f64 (*.f64 x x) y)
(+.f64 y (*.f64 x x))
x
y
#s(approx (sqrt (+ (* x x) y)) x)
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (+ (* x x) y) y) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* x x) y) y))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) y) y)) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) y) y)
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) y)
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 y)))
(/.f64 y (sqrt.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(neg.f64 (neg.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) x) x (sqrt.f64 y)))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (sqrt.f64 y) y))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x) x (sqrt.f64 y)))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) y))) x) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x) x (sqrt.f64 y)))
#s(approx (+ (* x x) y) y)
#s(approx (+ (* x x) y) (fma.f64 x x y))
#s(approx x x)
#s(approx (neg x) (neg.f64 x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (*.f64 y (/.f64 y (*.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 x (fma.f64 (*.f64 y (/.f64 y (*.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 y (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))) x))
#s(approx (+ (* x x) y) (*.f64 x x))
#s(approx (+ (* x x) y) (*.f64 (*.f64 (-.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) y)) (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (*.f64 y (/.f64 y (*.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) y)) (neg.f64 (fma.f64 x (fma.f64 (*.f64 y (/.f64 y (*.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 y (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ (* x x) y)) x)
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (fma.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) y x))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) y (/.f64 #s(literal 1/2 binary64) x)) y x))
#s(approx (/ y (sqrt y)) (/.f64 y (sqrt.f64 y)))
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
#s(approx (sqrt (+ (* x x) y)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/8 binary64) (fma.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
#s(approx (sqrt (+ (* x x) y)) (fma.f64 y (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x)) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (*.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/8 binary64) (*.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64)))) (/.f64 y (sqrt.f64 y))))
#s(approx (+ (* x x) y) (fma.f64 (/.f64 (*.f64 x x) y) y y))
#s(approx (/ y (sqrt y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (neg.f64 (/.f64 y (sqrt.f64 y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (neg.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/8 binary64) (fma.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (neg.f64 (fma.f64 y (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x)) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (*.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/8 binary64) (*.f64 (*.f64 x (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y))) #s(literal 1/2 binary64)))) (/.f64 y (sqrt.f64 y)))))
#s(approx (+ (* x x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (*.f64 x (neg.f64 x)) y) #s(literal 1 binary64))))
#s(approx (/ y (sqrt y)) (neg.f64 (sqrt.f64 y)))

eval8.0ms (0.6%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 716 to 332 computations (80.7% saved)

prune4.0ms (0.3%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New90090
Fresh000
Picked055
Done011
Total90696
Accuracy
99.9%
Counts
96 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.0%
(sqrt.f64 (fma.f64 x x y))
✓67.0%
(sqrt.f64 (+.f64 (*.f64 x x) y))
✓38.4%
(sqrt.f64 #s(approx (+ (* x x) y) y))
✓38.1%
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
✓1.2%
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
✓64.0%
#s(approx (sqrt (+ (* x x) y)) x)
Compiler

Compiled 94 to 54 computations (42.6% saved)

regimes12.0ms (0.9%)

Memory
-22.2MiB live, 28.0MiB allocated; 2ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) x)
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
#s(approx (sqrt (+ (* x x) y)) x)
Calls

5 calls:

3.0ms
x
2.0ms
y
2.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms
(+.f64 (*.f64 x x) y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%2(*.f64 x x)
99.9%2(+.f64 (*.f64 x x) y)
99.9%2(sqrt.f64 (+.f64 (*.f64 x x) y))
99.9%2x
85.4%2y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes8.0ms (0.6%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) x)
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
(sqrt.f64 (fma.f64 x x y))
Outputs
(sqrt.f64 (fma.f64 x x y))
#s(approx (sqrt (+ (* x x) y)) x)
Calls

4 calls:

2.0ms
x
2.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms
(+.f64 (*.f64 x x) y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%2(*.f64 x x)
99.9%2(+.f64 (*.f64 x x) y)
99.9%2(sqrt.f64 (+.f64 (*.f64 x x) y))
99.9%2x
Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes8.0ms (0.6%)

Memory
-26.7MiB live, 19.6MiB allocated; 2ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) x)
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
Outputs
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) x)
Calls

4 calls:

3.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms
x
2.0ms
(+.f64 (*.f64 x x) y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
89.0%2(*.f64 x x)
76.3%4(+.f64 (*.f64 x x) y)
76.3%4(sqrt.f64 (+.f64 (*.f64 x x) y))
89.0%2x
Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes6.0ms (0.4%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Accuracy

Total -40.1b remaining (-174%)

Threshold costs -40.1b (-174%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) x)
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
Outputs
#s(approx (sqrt (+ (* x x) y)) x)
Calls

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
1.0ms
(+.f64 (*.f64 x x) y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
64.0%1(+.f64 (*.f64 x x) y)
64.0%1(sqrt.f64 (+.f64 (*.f64 x x) y))
64.0%1y
64.0%1(*.f64 x x)
64.0%1x
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch4.0ms (0.3%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
3.0ms
6.525353806411844e+148
5.104804291038434e+150
Samples
2.0ms48×0valid
Compiler

Compiled 51 to 49 computations (3.9% saved)

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

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
0.0ms
6.525353806411844e+148
5.104804291038434e+150
Compiler

Compiled 48 to 46 computations (4.2% saved)

bsearch8.0ms (0.6%)

Memory
-34.1MiB live, 12.5MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
287704542417909.3
636738999582244.5
Samples
4.0ms80×0valid
1.0ms14×0invalid
Compiler

Compiled 89 to 80 computations (10.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult!: 2.0ms (71.6% of total)
ival-sqrt: 1.0ms (35.8% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations93.0ms (6.4%)

Memory
1.0MiB live, 143.2MiB allocated; 14ms collecting garbage
Stop Event
1×done
Compiler

Compiled 63 to 20 computations (68.3% saved)

preprocess29.0ms (2%)

Memory
34.3MiB live, 79.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 195 to 105 computations (46.2% saved)

end0.0ms (0%)

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

Profiling

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