Eccentricity of an ellipse

Time bar (total: 1.8s)

start0.0ms (0.0%)

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

analyze11.0ms (0.6%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%37.5%62.5%0.0%0.0%0.0%0
0.0%0.0%37.5%62.5%0.0%0.0%0.0%1
0.0%0.0%18.7%62.5%0.0%18.7%0.0%2
0.0%0.0%9.4%62.5%0.0%28.1%0.0%3
0.0%0.0%9.4%62.5%0.0%28.1%0.0%4
0.0%0.0%7.0%62.5%0.0%30.4%0.0%5
20.0%1.2%4.7%62.5%0.0%31.6%0.0%6
25.0%1.2%3.5%62.5%0.0%32.8%0.0%7
40.0%1.8%2.6%62.5%0.0%33.1%0.0%8
51.9%2.0%1.9%62.5%0.0%33.5%0.0%9
64.7%2.4%1.3%62.5%0.0%33.7%0.0%10
72.9%2.6%1.0%62.5%0.0%33.9%0.0%11
80.2%2.7%0.7%62.5%0.0%34.0%0.0%12
Compiler

Compiled 25 to 16 computations (36.0% saved)

sample797.0ms (43.4%)

Memory
-6.6MiB live, 503.2MiB allocated; 87ms collecting garbage
Samples
465.0ms8 256×0valid
72.0ms862×0invalid
Precisions
Click to see histograms. Total time spent on operations: 280.0ms
ival-mult!: 105.0ms (37.5% of total)
ival-sqrt: 58.0ms (20.7% of total)
ival-fabs: 49.0ms (17.5% of total)
ival-div!: 37.0ms (13.2% of total)
ival-sub!: 19.0ms (6.8% of total)
ival-<=: 6.0ms (2.1% of total)
ival-and: 4.0ms (1.4% of total)
adjust: 2.0ms (0.7% of total)
ival-assert: 1.0ms (0.4% of total)
Bogosity

preprocess24.0ms (1.3%)

Memory
29.3MiB live, 29.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02680
114268
2106656
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Symmetry

(abs a)

(abs b)

Compiler

Compiled 26 to 16 computations (38.5% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series18.0ms (1.0%)

Memory
-25.7MiB live, 21.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047268
Stop Event
iter-limit
Counts
8 → 16
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
Outputs
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- (* a a) (* b b)) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- (* a a) (* b b)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* a a) (pow.f64 a #s(literal 2 binary64)))
#s(approx a a)
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (* a a) (* b b)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (- (* a a) (* b b)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* b b) (pow.f64 b #s(literal 2 binary64)))
#s(approx b b)
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (* a a) (* b b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))))
Calls

6 calls:

TimeVariablePoint
6.0ms
b
inf
1.0ms
a
inf
1.0ms
a
0
1.0ms
a
-inf
1.0ms
b
-inf

rewrite160.0ms (8.7%)

Memory
-4.1MiB live, 149.2MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0851
01451
17345
252839
0405339
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 527
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
Outputs
(*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(pow.f64 (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))) (sqrt.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (sqrt.f64 (fabs.f64 a)))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))))
(fabs.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (neg.f64 (fabs.f64 a))) (/.f64 (fabs.f64 (-.f64 b a)) (neg.f64 (fabs.f64 a))))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (neg.f64 (neg.f64 a))) (/.f64 (fabs.f64 (-.f64 b a)) (neg.f64 (neg.f64 a))))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 a)) (/.f64 (fabs.f64 (-.f64 b a)) (fabs.f64 a)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (neg.f64 a)) (/.f64 (fabs.f64 (-.f64 b a)) (neg.f64 a)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) a) (/.f64 (fabs.f64 (-.f64 b a)) a))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) (fabs.f64 a))) (fabs.f64 (/.f64 (-.f64 a b) (fabs.f64 a))))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) (neg.f64 a))) (fabs.f64 (/.f64 (-.f64 b a) a)))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (/.f64 (-.f64 a b) a)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a a))))
(*.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) (fabs.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(*.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))) (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))) (*.f64 a a))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (neg.f64 (fabs.f64 a)))
(/.f64 (fabs.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))) (*.f64 a a))
(/.f64 (fabs.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (fabs.f64 a))
(/.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1 binary64))) (*.f64 a a))
(/.f64 (fabs.f64 (-.f64 (fabs.f64 a) (/.f64 (*.f64 b b) (fabs.f64 a)))) (fabs.f64 a))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a b) (*.f64 a b)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 (-.f64 a b) (+.f64 b a)))) (fabs.f64 a))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a (/.f64 (*.f64 b b) a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))) (sqrt.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))) (fabs.f64 a))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a (/.f64 (*.f64 b b) a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (*.f64 a (*.f64 (neg.f64 a) a))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a (/.f64 (*.f64 b b) a)) (*.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (*.f64 (*.f64 a a) a)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 a (/.f64 (*.f64 b b) a)))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 a) a) a)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a a))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a (/.f64 (*.f64 b b) a)))) (sqrt.f64 (*.f64 (*.f64 a a) a)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) (fabs.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) a) (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 a) (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 a a))
(sqrt.f64 (*.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
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(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (*.f64 (*.f64 a a) (*.f64 a a)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (fabs.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
a
(*.f64 (pow.f64 (fabs.f64 b) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 b) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 b) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 b) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (neg.f64 (neg.f64 (fabs.f64 b))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (fabs.f64 b))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (pow.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 b))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) b)
(*.f64 (pow.f64 b (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 b (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (fabs.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
b

eval69.0ms (3.7%)

Memory
9.6MiB live, 100.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 10 944 to 2 539 computations (76.8% saved)

prune10.0ms (0.6%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5335538
Fresh000
Picked101
Done000
Total5345539
Accuracy
100.0%
Counts
539 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))))
99.2%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
77.7%
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
97.7%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 120 to 90 computations (25.0% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series40.0ms (2.2%)

Memory
-3.8MiB live, 47.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02451291
Stop Event
iter-limit
Counts
31 → 71
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 b a)
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))
(-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 b (*.f64 a a))
(*.f64 a a)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
(*.f64 (+.f64 b a) (-.f64 b a))
(+.f64 b a)
(-.f64 b a)
(fabs.f64 a)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a))
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)
(-.f64 a (/.f64 (*.f64 b b) a))
(/.f64 (*.f64 b b) a)
(*.f64 b b)
Outputs
#s(approx (sqrt (fabs (+ (* (/ (neg b) a) (/ b a)) 1))) (sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (fabs (+ (* (/ (neg b) a) (/ b a)) 1)) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (neg b) a) (/ b a)) 1) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (+ (* (/ (neg b) a) (/ b a)) 1) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (/ (neg b) a) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx a a)
#s(approx (/ b a) (/.f64 b a))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (sqrt (fabs (- (* b (/ b (* a a))) 1))) (sqrt.f64 (fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (fabs (- (* b (/ b (* a a))) 1)) (fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (* b (/ b (* a a))) 1) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- (* b (/ b (* a a))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (/ b (* a a)) (/.f64 b (pow.f64 a #s(literal 2 binary64))))
#s(approx (* a a) (pow.f64 a #s(literal 2 binary64)))
#s(approx (/ (sqrt (fabs (* (+ b a) (- b a)))) (fabs a)) (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (fabs.f64 a)))
#s(approx (sqrt (fabs (* (+ b a) (- b a)))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))))
#s(approx (fabs (* (+ b a) (- b a))) (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a))))
#s(approx (* (+ b a) (- b a)) (pow.f64 b #s(literal 2 binary64)))
#s(approx (* (+ b a) (- b a)) (fma.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* (+ b a) (- b a)) (fma.f64 a (+.f64 b (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1 binary64) b))) (pow.f64 b #s(literal 2 binary64))))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx (- b a) (+.f64 b (*.f64 #s(literal -1 binary64) a)))
#s(approx (fabs a) (fabs.f64 a))
#s(approx (sqrt (fabs (/ (- a (/ (* b b) a)) a))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a))))
#s(approx (fabs (/ (- a (/ (* b b) a)) a)) (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a)))
#s(approx (- a (/ (* b b) a)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))
#s(approx (- a (/ (* b b) a)) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) a))
#s(approx (/ (* b b) a) (/.f64 (pow.f64 b #s(literal 2 binary64)) a))
#s(approx (+ (* (/ (neg b) a) (/ b a)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (neg b) a) (/ b a)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (* b (/ b (* a a))) 1) #s(literal -1 binary64))
#s(approx (- (* b (/ b (* a a))) 1) (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* (+ b a) (- b a)) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* (+ b a) (- b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
#s(approx (* (+ b a) (- b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b a) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (- b a) (*.f64 #s(literal -1 binary64) a))
#s(approx (- b a) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (- a (/ (* b b) a)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (/ (sqrt (fabs (* (+ b a) (- b a)))) (fabs a)) (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) a)) (-.f64 b (*.f64 #s(literal -1 binary64) a))))) (fabs.f64 a)))
#s(approx (sqrt (fabs (* (+ b a) (- b a)))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) a)) (-.f64 b (*.f64 #s(literal -1 binary64) a))))))
#s(approx (fabs (* (+ b a) (- b a))) (fabs.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) a)) (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (* (+ b a) (- b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) #s(literal 1 binary64))))
#s(approx (* (+ b a) (- b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))) a)) #s(literal 1 binary64))))
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (- b a) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))))
#s(approx (sqrt (fabs (/ (- a (/ (* b b) a)) a))) (sqrt.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a)))))
#s(approx (fabs (/ (- a (/ (* b b) a)) a)) (fabs.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a))))
#s(approx (- a (/ (* b b) a)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (neg b) (*.f64 #s(literal -1 binary64) b))
#s(approx (* (+ b a) (- b a)) (fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a)))))
#s(approx (* (+ b a) (- b a)) (fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 b (+.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) a))))))
#s(approx (- b a) (-.f64 b a))
#s(approx (- a (/ (* b b) a)) (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a))))
#s(approx (sqrt (fabs (+ (* (/ (neg b) a) (/ b a)) 1))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (fabs (+ (* (/ (neg b) a) (/ b a)) 1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (+ (* (/ (neg b) a) (/ b a)) 1) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (* b (/ b (* a a))) 1) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (* (+ b a) (- b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 a b) (/.f64 a b)))))
#s(approx (* (+ b a) (- b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 a b) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 a b))))))
#s(approx (+ b a) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (- b a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))))
#s(approx (- a (/ (* b b) a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 a (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (sqrt (fabs (* (+ b a) (- b a)))) (fabs a)) (/.f64 (sqrt.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) b)) (-.f64 a (*.f64 #s(literal -1 binary64) b)))))) (fabs.f64 a)))
#s(approx (sqrt (fabs (* (+ b a) (- b a)))) (sqrt.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) b)) (-.f64 a (*.f64 #s(literal -1 binary64) b)))))))
#s(approx (fabs (* (+ b a) (- b a))) (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) b)) (-.f64 a (*.f64 #s(literal -1 binary64) b))))))
#s(approx (* (+ b a) (- b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 a (*.f64 #s(literal -1 binary64) a)) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)) b)))))
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (- b a) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
8.0ms
a
0
7.0ms
b
inf
5.0ms
a
inf
4.0ms
b
-inf
4.0ms
a
-inf

rewrite177.0ms (9.7%)

Memory
-22.5MiB live, 402.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035218
063211
1274211
21170183
04051183
Stop Event
iter-limit
node-limit
iter-limit
Counts
31 → 1 936
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 b a)
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))
(-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 b (*.f64 a a))
(*.f64 a a)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
(*.f64 (+.f64 b a) (-.f64 b a))
(+.f64 b a)
(-.f64 b a)
(fabs.f64 a)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a))
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)
(-.f64 a (/.f64 (*.f64 b b) a))
(/.f64 (*.f64 b b) a)
(*.f64 b b)
Outputs
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) (sqrt.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (-.f64 a (*.f64 (/.f64 b a) b))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64)))
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(-.f64 (/.f64 a (neg.f64 (neg.f64 a))) (*.f64 (/.f64 b (*.f64 a a)) b))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))))
(-.f64 (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(-.f64 (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) (/.f64 a (neg.f64 a)))
(-.f64 (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 b a) b)) (*.f64 a a)))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) a) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 (*.f64 (-.f64 b a) a) (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 (-.f64 b a) b) (*.f64 (neg.f64 a) a)))
(+.f64 (/.f64 (*.f64 (-.f64 b a) b) (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 (-.f64 b a) a) (*.f64 (neg.f64 a) a)))
(+.f64 (/.f64 (*.f64 (+.f64 a b) b) (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 (+.f64 a b) (neg.f64 a)) (*.f64 (neg.f64 a) a)))
(+.f64 (/.f64 (*.f64 a (-.f64 b a)) (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 b (-.f64 b a)) (*.f64 (neg.f64 a) a)))
(+.f64 (/.f64 (*.f64 b (-.f64 b a)) (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 a (-.f64 b a)) (*.f64 (neg.f64 a) a)))
(+.f64 (/.f64 (*.f64 b (+.f64 a b)) (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 (neg.f64 a) (+.f64 a b)) (*.f64 (neg.f64 a) a)))
(+.f64 (/.f64 (/.f64 (*.f64 a a) a) (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 a (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
(+.f64 (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) (/.f64 a (neg.f64 (neg.f64 a))))
(+.f64 (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 b (*.f64 a a))) b))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) a)
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
(*.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a a) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 b) a) b) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) a) (/.f64 (*.f64 a a) a) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (*.f64 (/.f64 (neg.f64 b) a) b)) (*.f64 (/.f64 (*.f64 a a) a) (*.f64 (/.f64 (neg.f64 b) a) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 b) a) b) #s(literal 3 binary64)) (*.f64 (*.f64 a a) a)) (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (*.f64 (/.f64 (neg.f64 b) a) b) (-.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 (neg.f64 b) a) b) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) a) (/.f64 (*.f64 a a) a) (fma.f64 (*.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) b) (*.f64 (/.f64 (*.f64 a a) a) (*.f64 (/.f64 b a) b)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal 1 binary64))) a)
(/.f64 (fma.f64 (*.f64 a a) (neg.f64 (neg.f64 a)) (*.f64 a (*.f64 (neg.f64 b) b))) (*.f64 a (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (*.f64 a (*.f64 b b))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 a (*.f64 (neg.f64 b) b))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 a a)) (*.f64 a (*.f64 (neg.f64 b) b))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (neg.f64 (neg.f64 a))) (*.f64 a (*.f64 b b))) (*.f64 a (neg.f64 (neg.f64 a))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 a (*.f64 b b))) (*.f64 a a))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 b) b))) (neg.f64 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 b) b)) (neg.f64 a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (*.f64 (/.f64 (neg.f64 b) a) b))) (-.f64 a (*.f64 (/.f64 (neg.f64 b) a) b)))
(/.f64 (+.f64 (*.f64 (*.f64 a a) a) (pow.f64 (*.f64 (/.f64 (neg.f64 b) a) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (*.f64 (/.f64 (neg.f64 b) a) b)) (*.f64 a (*.f64 (/.f64 (neg.f64 b) a) b)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) b))) (+.f64 a (*.f64 (/.f64 b a) b)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (*.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) b) (*.f64 a (*.f64 (/.f64 b a) b)))))
(/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (neg.f64 a))
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 a b) (+.f64 a b))))
(neg.f64 (-.f64 (*.f64 (/.f64 b a) b) a))
(fma.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a a) a))
(fma.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal 1 binary64) a) a)
(fma.f64 (*.f64 b b) (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 a a) a))
(fma.f64 (*.f64 b b) (neg.f64 (/.f64 #s(literal 1 binary64) a)) a)
(fma.f64 (/.f64 b a) (neg.f64 b) (/.f64 (*.f64 a a) a))
(fma.f64 (/.f64 b a) (neg.f64 b) a)
(fma.f64 (/.f64 (neg.f64 b) a) b (/.f64 (*.f64 a a) a))
(fma.f64 (/.f64 (neg.f64 b) a) b a)
(fma.f64 (neg.f64 b) (/.f64 b a) (/.f64 (*.f64 a a) a))
(fma.f64 (neg.f64 b) (/.f64 b a) a)
(fma.f64 b (/.f64 (neg.f64 b) a) (/.f64 (*.f64 a a) a))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
(-.f64 (/.f64 (*.f64 a a) a) (*.f64 (/.f64 b a) b))
(-.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (/.f64 (*.f64 (neg.f64 a) a) a))
(-.f64 a (*.f64 (/.f64 b a) b))
(+.f64 (/.f64 (*.f64 (-.f64 b a) a) (neg.f64 a)) (/.f64 (*.f64 (-.f64 b a) b) (neg.f64 a)))
(+.f64 (/.f64 (*.f64 (-.f64 b a) b) (neg.f64 a)) (/.f64 (*.f64 (-.f64 b a) a) (neg.f64 a)))
(+.f64 (/.f64 (*.f64 (+.f64 a b) b) (neg.f64 a)) (/.f64 (*.f64 (+.f64 a b) (neg.f64 a)) (neg.f64 a)))
(+.f64 (/.f64 (*.f64 a (-.f64 b a)) (neg.f64 a)) (/.f64 (*.f64 b (-.f64 b a)) (neg.f64 a)))
(+.f64 (/.f64 (*.f64 b (-.f64 b a)) (neg.f64 a)) (/.f64 (*.f64 a (-.f64 b a)) (neg.f64 a)))
(+.f64 (/.f64 (*.f64 b (+.f64 a b)) (neg.f64 a)) (/.f64 (*.f64 (neg.f64 a) (+.f64 a b)) (neg.f64 a)))
(+.f64 (/.f64 (*.f64 a a) a) (*.f64 (/.f64 (neg.f64 b) a) b))
(+.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (/.f64 (*.f64 a a) a))
(+.f64 (*.f64 (/.f64 (neg.f64 b) a) b) a)
(+.f64 a (*.f64 (/.f64 (neg.f64 b) a) b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b b))
(*.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) a))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b a) b)
(*.f64 (neg.f64 b) (/.f64 (neg.f64 b) a))
(*.f64 b (/.f64 b a))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))
(/.f64 (*.f64 b b) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 b b) a)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (neg.f64 b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(neg.f64 (*.f64 (/.f64 (neg.f64 b) a) b))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (neg.f64 (neg.f64 (fabs.f64 b))))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (fabs.f64 b))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (pow.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 b))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) b)
(*.f64 (pow.f64 b (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 b (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (fabs.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))

eval198.0ms (10.8%)

Memory
2.3MiB live, 329.7MiB allocated; 48ms collecting garbage
Compiler

Compiled 24 977 to 5 450 computations (78.2% saved)

prune30.0ms (1.6%)

Memory
-1.0MiB live, 45.4MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 30721 309
Fresh000
Picked235
Done000
Total1 30951 314
Accuracy
100.0%
Counts
1 314 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
77.7%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
99.2%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
97.7%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 58 to 42 computations (27.6% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
Outputs
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series10.0ms (0.5%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038162
Stop Event
iter-limit
Counts
12 → 12
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
b
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
(*.f64 a a)
Outputs
#s(approx (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (sqrt.f64 (fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (fabs (+ (* (/ b a) (/ b a)) -1)) (fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* (/ b a) (/ b a)) -1) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (+ (* (/ b a) (/ b a)) -1) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (/ b a) (/.f64 b a))
#s(approx a a)
#s(approx (/ b (* a a)) (/.f64 b (pow.f64 a #s(literal 2 binary64))))
#s(approx (* a a) (pow.f64 a #s(literal 2 binary64)))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ b a) (/ b a)) -1) (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (+ (* (/ b a) (/ b a)) -1) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))))
Calls

6 calls:

TimeVariablePoint
1.0ms
b
inf
1.0ms
b
-inf
1.0ms
a
-inf
1.0ms
a
inf
1.0ms
a
0

rewrite126.0ms (6.9%)

Memory
25.5MiB live, 163.7MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01268
02362
110862
239762
3225062
0403362
Stop Event
iter-limit
node-limit
iter-limit
Counts
12 → 654
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
b
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
(*.f64 a a)
Outputs
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))) (sqrt.f64 (fabs.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (-.f64 (/.f64 b a) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (-.f64 #s(literal -1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (-.f64 (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
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(/.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(/.f64 (/.f64 b (neg.f64 (fabs.f64 a))) (neg.f64 (fabs.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 a a))
(/.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (/.f64 b (fabs.f64 a))) (neg.f64 (fabs.f64 a)))
(/.f64 (/.f64 b (fabs.f64 a)) (fabs.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 a) (/.f64 b (fabs.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (/.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) a) (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (/.f64 b a) a)
(/.f64 b (*.f64 a a))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 b) a)))
(neg.f64 (/.f64 b (*.f64 (neg.f64 a) a)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 a)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 a a))
(*.f64 (pow.f64 (fabs.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (neg.f64 (neg.f64 (fabs.f64 a))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (fabs.f64 a))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (fabs.f64 a) (neg.f64 (neg.f64 (fabs.f64 a))))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (*.f64 a a) (pow.f64 (*.f64 a a) #s(literal 0 binary64)))
(*.f64 (*.f64 a a) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 a a)
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 a))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 a))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 a))))
(/.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(/.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (pow.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (*.f64 (*.f64 a a) (*.f64 a a)))
(fabs.f64 (*.f64 (neg.f64 a) (neg.f64 (fabs.f64 a))))
(fabs.f64 (*.f64 a (neg.f64 (fabs.f64 a))))
(fabs.f64 (*.f64 (neg.f64 a) (fabs.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 a)))
(fabs.f64 (*.f64 (fabs.f64 a) (neg.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 a)) a))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) a)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) a)))
(fabs.f64 (*.f64 (fabs.f64 a) a))
(fabs.f64 (*.f64 a (fabs.f64 a)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 a))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 a a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))

eval53.0ms (2.9%)

Memory
2.9MiB live, 93.5MiB allocated; 10ms collecting garbage
Compiler

Compiled 6 769 to 1 569 computations (76.8% saved)

prune15.0ms (0.8%)

Memory
-29.2MiB live, 16.8MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3890389
Fresh000
Picked022
Done033
Total3895394
Accuracy
100.0%
Counts
394 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
77.7%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
99.2%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
97.7%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes40.0ms (2.1%)

Memory
12.3MiB live, 61.1MiB allocated; 11ms collecting garbage
Counts
3 → 1
8 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Call 2
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Calls

14 calls:

11.0ms
a
3.0ms
b
3.0ms
a
3.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
97.7%1(*.f64 b b)
97.7%1(*.f64 a a)
97.7%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
97.7%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
97.7%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
97.7%1a
97.7%1b
100.0%1(*.f64 b b)
100.0%1(*.f64 a a)
100.0%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
100.0%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
100.0%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
100.0%1a
100.0%1b
Compiler

Compiled 181 to 108 computations (40.3% saved)

derivations45.0ms (2.4%)

Memory
-3.0MiB live, 42.8MiB allocated; 5ms collecting garbage
Stop Event
done
Compiler

Compiled 25 to 15 computations (40.0% saved)

preprocess15.0ms (0.8%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 138 to 91 computations (34.1% saved)

end0.0ms (0.0%)

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

Profiling

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