Eccentricity of an ellipse

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze12.0ms (0.4%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%37.5%62.5%0%0%0%0
0%0%37.5%62.5%0%0%0%1
0%0%18.7%62.5%0%18.7%0%2
0%0%9.4%62.5%0%28.1%0%3
0%0%9.4%62.5%0%28.1%0%4
0%0%7%62.5%0%30.4%0%5
20%1.2%4.7%62.5%0%31.6%0%6
25%1.2%3.5%62.5%0%32.8%0%7
40%1.8%2.6%62.5%0%33.1%0%8
51.9%2%1.9%62.5%0%33.5%0%9
64.7%2.4%1.3%62.5%0%33.7%0%10
72.9%2.6%1%62.5%0%33.9%0%11
80.2%2.7%0.7%62.5%0%34%0%12
Compiler

Compiled 25 to 16 computations (36% saved)

sample963.0ms (31.6%)

Memory
-37.2MiB live, 1 458.3MiB allocated; 357ms collecting garbage
Samples
554.0ms8 256×0valid
95.0ms759×0invalid
Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-mult!: 123.0ms (34.4% of total)
ival-sqrt: 84.0ms (23.5% of total)
ival-fabs: 56.0ms (15.7% of total)
ival-div!: 42.0ms (11.8% of total)
ival-sub!: 39.0ms (10.9% of total)
ival-<=: 7.0ms (2% of total)
ival-and: 4.0ms (1.1% of total)
adjust: 2.0ms (0.6% of total)
ival-assert: 1.0ms (0.3% of total)
Bogosity

preprocess37.0ms (1.2%)

Memory
-20.5MiB live, 33.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02680
112768
290056
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.0%
(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)

series7.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
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)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms
a
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms
a
@0
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms
a
@-inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms
b
@-inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)

rewrite253.0ms (8.3%)

Memory
14.1MiB live, 345.4MiB allocated; 22ms collecting garbage
Counts
24 → 263
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
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
Outputs
(*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 a))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))) #s(literal 1/2 binary64)))
(pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 a a))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (neg.f64 (*.f64 a a)))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (fabs.f64 a))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(*.f64 (/.f64 (+.f64 b a) (neg.f64 a)) (/.f64 (-.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 b a) (fabs.f64 a)) (/.f64 (-.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (+.f64 b a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (-.f64 a b) (pow.f64 a #s(literal 1 binary64))))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))
(+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 3 binary64)) (fma.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (neg.f64 (*.f64 a a)))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (-.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 b b)) a) a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (neg.f64 (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a a))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (neg.f64 (*.f64 a a))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (*.f64 a a) (neg.f64 (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (/.f64 a a) (/.f64 a a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 a (/.f64 a (*.f64 a a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (neg.f64 a) (neg.f64 a)) (/.f64 (neg.f64 a) (neg.f64 a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (neg.f64 a) (fabs.f64 a)) (/.f64 (neg.f64 a) (fabs.f64 a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (neg.f64 a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (fabs.f64 a) a) (/.f64 (fabs.f64 a) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (fabs.f64 a) (neg.f64 a)) (/.f64 (fabs.f64 a) (neg.f64 a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (fabs.f64 a) (fabs.f64 a)) (/.f64 (fabs.f64 a) (fabs.f64 a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) a) (/.f64 (pow.f64 a #s(literal 1 binary64)) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 a)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 a)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 a (neg.f64 a)) (/.f64 a (neg.f64 a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 a (fabs.f64 a)) (/.f64 a (fabs.f64 a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 a (pow.f64 a #s(literal 1 binary64))) (/.f64 a (pow.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 a)) (/.f64 (*.f64 b b) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 (*.f64 b b) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 1 binary64))) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (neg.f64 a)) (/.f64 #s(literal -1 binary64) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (fabs.f64 a)) (/.f64 #s(literal -1 binary64) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 a) (/.f64 (fabs.f64 a) (*.f64 a a)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
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(*.f64 (+.f64 (neg.f64 a) (neg.f64 b)) (-.f64 (neg.f64 a) (neg.f64 b)))
(*.f64 (+.f64 (neg.f64 a) (fabs.f64 b)) (-.f64 (neg.f64 a) (fabs.f64 b)))
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(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (neg.f64 (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 a a) a) a (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (neg.f64 (*.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (neg.f64 (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a a))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a)))) (neg.f64 (-.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 b a) (-.f64 a b)))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (neg.f64 (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a a)))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (neg.f64 (*.f64 b b)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (neg.f64 (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 1 binary64) a) a (neg.f64 (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 1 binary64) a) a (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (neg.f64 (*.f64 b b)))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 a) (neg.f64 a) (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (neg.f64 (*.f64 b b)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (neg.f64 (*.f64 b b)))
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(fma.f64 a (*.f64 a #s(literal 1 binary64)) (neg.f64 (*.f64 b b)))
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(fma.f64 b (neg.f64 b) (*.f64 a a))
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(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 (pow.f64 b #s(literal 1 binary64))) (pow.f64 b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 b)) (fabs.f64 b) (*.f64 a a))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 1 binary64))) (pow.f64 b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (*.f64 #s(literal -1 binary64) b) b (*.f64 a a))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (neg.f64 (*.f64 b b)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (neg.f64 (*.f64 b b)))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (neg.f64 (*.f64 b b)))
(fma.f64 (fabs.f64 (pow.f64 a #s(literal 1 binary64))) (fabs.f64 (pow.f64 a #s(literal 1 binary64))) (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (neg.f64 (pow.f64 a #s(literal 1 binary64))) (neg.f64 (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (neg.f64 (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)) (neg.f64 (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (pow.f64 a #s(literal 1 binary64))) (fabs.f64 (pow.f64 a #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (neg.f64 (pow.f64 a #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
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(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (neg.f64 (*.f64 b b)))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 b) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal -1 binary64)) (*.f64 a a))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (*.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 b b)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (*.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (neg.f64 (pow.f64 b #s(literal 1 binary64))) (*.f64 a a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 a a))
(*.f64 a a)
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) a) a)
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 a (*.f64 a #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (neg.f64 (pow.f64 a #s(literal 1 binary64))))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (pow.f64 a #s(literal 1 binary64))) (fabs.f64 (pow.f64 a #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (*.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 a a))
(fabs.f64 (neg.f64 (*.f64 a a)))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 a))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 a))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 a) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 a))))
(neg.f64 (neg.f64 (*.f64 a a)))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 a a) (*.f64 a a)))
a
(*.f64 b b)
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 1 binary64))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (pow.f64 b #s(literal 1 binary64)) b)
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 b (*.f64 b #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 1 binary64))) (neg.f64 (pow.f64 b #s(literal 1 binary64))))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
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(fabs.f64 (*.f64 b b))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (*.f64 b b)))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
b
#s(approx (sqrt (fabs (- 1 (/ (* b b) (* a a))))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
#s(approx (fabs (- 1 (/ (* b b) (* a a)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
#s(approx (- 1 (/ (* b b) (* a a))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
#s(approx (- 1 (/ (* b b) (* a a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
#s(approx (- (* a a) (* b b)) (neg.f64 (*.f64 b b)))
#s(approx (- (* a a) (* b b)) (*.f64 (+.f64 b a) (-.f64 a b)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* b b) (* a a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
#s(approx (- (* a a) (* b b)) (*.f64 (+.f64 b a) (-.f64 a b)))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 b b)))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))

eval91.0ms (3%)

Memory
-10.2MiB live, 79.2MiB allocated; 77ms collecting garbage
Compiler

Compiled 5 028 to 1 206 computations (76% saved)

prune7.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2524256
Fresh000
Picked101
Done000
Total2534257
Accuracy
100.0%
Counts
257 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
82.0%
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
98.4%
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))))
Compiler

Compiled 50 to 38 computations (24% saved)

series56.0ms (1.8%)

Memory
2.7MiB live, 90.1MiB allocated; 25ms collecting garbage
Counts
23 → 59
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))))
(fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64)))
#s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
(fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(/.f64 (+.f64 b a) a)
(+.f64 b a)
b
a
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
(*.f64 a a)
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
(fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))
Outputs
#s(approx (sqrt (fabs (- 1 (/ (* b b) (* a a))))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- 1 (/ (* b b) (* a a)))) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (/ (- (pow a 2) (pow b 2)) (pow a 2))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ b a)))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ (+ a b) a)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (fabs (- (/ (* b b) (* a a)) 1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (- (/ (* b b) (* a a)) 1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Calls

6 calls:

TimeVariablePointExpression
20.0ms
a
@inf
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) (* a a) (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)))
17.0ms
b
@inf
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) (* a a) (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)))
5.0ms
b
@0
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) (* a a) (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)))
5.0ms
a
@-inf
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) (* a a) (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)))
5.0ms
a
@0
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) (* a a) (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)))

rewrite783.0ms (25.7%)

Memory
-13.8MiB live, 511.1MiB allocated; 134ms collecting garbage
Counts
82 → 1 003
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))))
(fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64)))
#s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
(fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(/.f64 (+.f64 b a) a)
(+.f64 b a)
b
a
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
(*.f64 a a)
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
(fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))
#s(approx (sqrt (fabs (- 1 (/ (* b b) (* a a))))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- 1 (/ (* b b) (* a a)))) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (/ (- (pow a 2) (pow b 2)) (pow a 2))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ b a)))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ (+ a b) a)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (fabs (- (/ (* b b) (* a a)) 1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (- (/ (* b b) (* a a)) 1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 2)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (- 1 (pow (/ b a) 2)) #s(literal 1 binary64)))
#s(approx (- 1 (pow (/ b a) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) b) b)
(*.f64 a (/.f64 a (*.f64 a a)))
(*.f64 b (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 a (neg.f64 a)) (/.f64 a (neg.f64 a)))
(*.f64 (/.f64 a (fabs.f64 a)) (/.f64 a (fabs.f64 a)))
(*.f64 (/.f64 a (pow.f64 a #s(literal 1 binary64))) (/.f64 a (pow.f64 a #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 a) (fabs.f64 a)) (/.f64 (neg.f64 a) (fabs.f64 a)))
(*.f64 (/.f64 (neg.f64 a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 a #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) a))
(*.f64 (/.f64 (fabs.f64 a) (neg.f64 a)) (/.f64 (fabs.f64 a) (neg.f64 a)))
(*.f64 (/.f64 (fabs.f64 a) (fabs.f64 a)) (/.f64 (fabs.f64 a) (fabs.f64 a)))
(*.f64 (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 1 binary64))))
(*.f64 (/.f64 (fabs.f64 a) a) (/.f64 (fabs.f64 a) a))
(*.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 a)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 a)))
(*.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 a)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 a)))
(*.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) a) (/.f64 (pow.f64 a #s(literal 1 binary64)) a))
(*.f64 (neg.f64 a) (/.f64 (neg.f64 a) (*.f64 a a)))
(*.f64 (fabs.f64 a) (/.f64 (fabs.f64 a) (*.f64 a a)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (*.f64 a a)))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(fabs.f64 #s(literal -1 binary64))
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#s(approx (/ (- a b) a) (*.f64 (/.f64 (-.f64 a b) (*.f64 b a)) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ -1 (pow (/ b a) 2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (/ (- (* a a) (* b b)) a) (*.f64 (-.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 b b)))
#s(approx (sqrt (fabs (+ -1 (pow (/ b a) 2)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (+ -1 (pow (/ b a) 2))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (+ a b) (*.f64 (-.f64 (neg.f64 (/.f64 a b)) #s(literal 1 binary64)) (neg.f64 b)))
#s(approx (/ (- a b) a) (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (neg.f64 b)))
#s(approx (- a b) (neg.f64 (-.f64 b (/.f64 (*.f64 b a) b))))

eval195.0ms (6.4%)

Memory
18.9MiB live, 162.0MiB allocated; 72ms collecting garbage
Compiler

Compiled 20 680 to 4 442 computations (78.5% saved)

prune27.0ms (0.9%)

Memory
-13.3MiB live, 33.2MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1 05341 057
Fresh000
Picked314
Done000
Total1 05651 061
Accuracy
100.0%
Counts
1 061 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.6%
(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))))
80.9%
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a))))
98.2%
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b))))
98.4%
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))))
Compiler

Compiled 69 to 52 computations (24.6% saved)

series15.0ms (0.5%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
23 → 20
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b))))
(fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b)))
#s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) b)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a))))
(fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a)))
#s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a))
(/.f64 (/.f64 (*.f64 a a) a) a)
(/.f64 (*.f64 a a) a)
(*.f64 a a)
a
(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)
#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))
Outputs
#s(approx (sqrt (fabs (- 1 (/ (* b b) (* a a))))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- 1 (/ (* b b) (* a a)))) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (/ (- (pow a 2) (pow b 2)) (pow a 2))))
#s(approx (/ (/ (* a a) a) a) #s(hole binary64 1))
#s(approx (/ (* a a) a) #s(hole binary64 a))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (+ (* (/ b a) (/ b a)) -1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ b (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
a
@-inf
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (* (/ 1 b) b) (/ 1 b) 1 b (sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (/ (/ (* a a) a) a) (/ (* a a) a) (* a a) a (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))
2.0ms
a
@0
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (* (/ 1 b) b) (/ 1 b) 1 b (sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (/ (/ (* a a) a) a) (/ (* a a) a) (* a a) a (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))
2.0ms
b
@-inf
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (* (/ 1 b) b) (/ 1 b) 1 b (sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (/ (/ (* a a) a) a) (/ (* a a) a) (* a a) a (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))
2.0ms
a
@inf
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (* (/ 1 b) b) (/ 1 b) 1 b (sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (/ (/ (* a a) a) a) (/ (* a a) a) (* a a) a (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))
2.0ms
b
@inf
((sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (* (/ 1 b) b) (/ 1 b) 1 b (sqrt (fabs (- 1 (/ (* b b) (* a a))))) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) (/ (/ (* a a) a) a) (/ (* a a) a) (* a a) a (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))

rewrite415.0ms (13.6%)

Memory
18.5MiB live, 303.4MiB allocated; 55ms collecting garbage
Counts
43 → 627
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b))))
(fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b)))
#s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) b)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a))))
(fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a)))
#s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a))
(/.f64 (/.f64 (*.f64 a a) a) a)
(/.f64 (*.f64 a a) a)
(*.f64 a a)
a
(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)
#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))
#s(approx (sqrt (fabs (- 1 (/ (* b b) (* a a))))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- 1 (/ (* b b) (* a a)))) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (/ (- (pow a 2) (pow b 2)) (pow a 2))))
#s(approx (/ (/ (* a a) a) a) #s(hole binary64 1))
#s(approx (/ (* a a) a) #s(hole binary64 a))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (+ (* (/ b a) (/ b a)) -1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ b (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 2)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (- 1 (pow (/ b a) 2)) #s(literal 1 binary64)))
#s(approx (- 1 (pow (/ b a) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) b) b)
(*.f64 b (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b)
(*.f64 a (/.f64 #s(literal 1 binary64) a))
(*.f64 a (/.f64 a (*.f64 a a)))
(*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) a))
(*.f64 (/.f64 (neg.f64 a) (fabs.f64 a)) (/.f64 (neg.f64 a) (fabs.f64 a)))
(*.f64 (/.f64 (neg.f64 a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 a #s(literal 1 binary64))))
(*.f64 (/.f64 (fabs.f64 a) a) (/.f64 (fabs.f64 a) a))
(*.f64 (/.f64 (fabs.f64 a) (neg.f64 a)) (/.f64 (fabs.f64 a) (neg.f64 a)))
(*.f64 (/.f64 (fabs.f64 a) (fabs.f64 a)) (/.f64 (fabs.f64 a) (fabs.f64 a)))
(*.f64 (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) a) (/.f64 (pow.f64 a #s(literal 1 binary64)) a))
(*.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 a)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 a)))
(*.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 a)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 a)))
(*.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))))
(*.f64 (/.f64 a (neg.f64 a)) (/.f64 a (neg.f64 a)))
(*.f64 (/.f64 a (fabs.f64 a)) (/.f64 a (fabs.f64 a)))
(*.f64 (/.f64 a (pow.f64 a #s(literal 1 binary64))) (/.f64 a (pow.f64 a #s(literal 1 binary64))))
(*.f64 (fabs.f64 a) (/.f64 (fabs.f64 a) (*.f64 a a)))
(*.f64 (neg.f64 a) (/.f64 (neg.f64 a) (*.f64 a a)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (*.f64 a a)))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(fabs.f64 #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 a a)
(/.f64 b b)
(/.f64 (*.f64 a a) (*.f64 a a))
(/.f64 (*.f64 #s(literal 1 binary64) a) a)
(/.f64 (*.f64 b b) (*.f64 b b))
(/.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (*.f64 a a)))
(/.f64 (*.f64 a #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 b #s(literal -1 binary64)) (neg.f64 b))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 (neg.f64 a) (neg.f64 a))
(/.f64 (neg.f64 b) (neg.f64 b))
(/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 a a) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (/.f64 (*.f64 a a) (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) a) (neg.f64 (neg.f64 a)))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) (*.f64 #s(literal 2 binary64) (log.f64 a))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b #s(literal 0 binary64))
(fma.f64 a (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(fma.f64 a (/.f64 a (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) b #s(literal 0 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 a) (fabs.f64 a)) (/.f64 (neg.f64 a) (fabs.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 a #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 a) a) (/.f64 (fabs.f64 a) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 a) (neg.f64 a)) (/.f64 (fabs.f64 a) (neg.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 a) (fabs.f64 a)) (/.f64 (fabs.f64 a) (fabs.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) a) (/.f64 (pow.f64 a #s(literal 1 binary64)) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 a)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 a)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 a (neg.f64 a)) (/.f64 a (neg.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 a (fabs.f64 a)) (/.f64 a (fabs.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 a (pow.f64 a #s(literal 1 binary64))) (/.f64 a (pow.f64 a #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 a) (/.f64 (fabs.f64 a) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (neg.f64 a) (/.f64 (neg.f64 a) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 1 binary64)) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 a #s(literal 0 binary64))
(pow.f64 b #s(literal 0 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))
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(*.f64 (pow.f64 a #s(literal 1 binary64)) (*.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 a a))
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(/.f64 (*.f64 (*.f64 a a) b) b)
(/.f64 (*.f64 b (*.f64 a a)) b)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 a) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 a))))
(neg.f64 (neg.f64 (*.f64 a a)))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
a
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(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.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 #s(literal 1/2 binary64) #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) a) b) (*.f64 a b)) (*.f64 a b))
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(/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 a a))
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(expm1.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) (*.f64 #s(literal 2 binary64) (log.f64 a))))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
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(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a a))) b #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) b) (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) b)) b #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 b a)) (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))
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(*.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
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(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.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 #s(literal 1/2 binary64) #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64))) (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
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(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
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(-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
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(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))
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(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b) (neg.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a a)))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (-.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) (*.f64 a a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 a a)) a (*.f64 (*.f64 a a) (/.f64 (*.f64 b b) a))) (*.f64 (*.f64 a a) a))
(/.f64 (fma.f64 (neg.f64 (*.f64 a a)) (*.f64 a a) (*.f64 (*.f64 b a) (*.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a a)))
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(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) b)) (*.f64 (*.f64 a a) b))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) a) b) (*.f64 a b)) (*.f64 a b))
(/.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (neg.f64 a)) (neg.f64 a))
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(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 a a))
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(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 b b)) b) (*.f64 (neg.f64 (*.f64 a a)) b)) (*.f64 (neg.f64 (*.f64 a a)) b))
(expm1.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))
(expm1.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) (*.f64 #s(literal 2 binary64) (log.f64 a))))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a a))) b #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) b) (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) b)) b #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 b a)) (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) b (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (pow.f64 (/.f64 b a) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 b (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 b) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) (*.f64 a a)) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 b a))) (neg.f64 (fabs.f64 (/.f64 b a))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 b a))) (fabs.f64 (fabs.f64 (/.f64 b a))) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (/.f64 (neg.f64 b) (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) (pow.f64 a #s(literal 1 binary64))) (/.f64 (neg.f64 b) (pow.f64 a #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) a) (/.f64 (fabs.f64 b) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (neg.f64 a)) (/.f64 (fabs.f64 b) (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (pow.f64 a #s(literal 1 binary64))) (/.f64 (fabs.f64 b) (pow.f64 a #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 b #s(literal 1 binary64)) a) (/.f64 (pow.f64 b #s(literal 1 binary64)) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 b #s(literal 1 binary64)) (neg.f64 a)) (/.f64 (pow.f64 b #s(literal 1 binary64)) (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 b #s(literal 1 binary64)) (fabs.f64 a)) (/.f64 (pow.f64 b #s(literal 1 binary64)) (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) (/.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 b (fabs.f64 a)) (/.f64 b (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (pow.f64 a #s(literal 1 binary64))) (/.f64 b (pow.f64 a #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 b a))) (neg.f64 (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 a)) (*.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 (*.f64 a a) (fabs.f64 a)) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 1 binary64))) (/.f64 (*.f64 a a) (pow.f64 a #s(literal 1 binary64))) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 (*.f64 a a) (fabs.f64 a)) (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 a #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 1 binary64))) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (*.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (neg.f64 a)) (/.f64 (*.f64 b b) (*.f64 a a)))
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 b a)) (*.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.f64 b a)) (*.f64 (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal 1 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (neg.f64 (*.f64 a a))))
(/.f64 b (*.f64 a a))
(/.f64 (/.f64 b a) a)
(/.f64 (neg.f64 b) (neg.f64 (*.f64 a a)))
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(/.f64 (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 b) (*.f64 a a)))
(neg.f64 (/.f64 b (neg.f64 (*.f64 a a))))
#s(approx (sqrt (fabs (- 1 (pow (/ b a) 2)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (- 1 (pow (/ b a) 2))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (- 1 (pow (/ b a) 2)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
#s(approx (- 1 (pow (/ b a) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
#s(approx 1 #s(literal 1 binary64))
#s(approx (* 1 a) a)
#s(approx (* a a) (*.f64 a a))
#s(approx (sqrt (fabs (- 1 (pow (/ b a) 2)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (- 1 (pow (/ b a) 2))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (+ -1 (pow (/ b a) 2)) (/.f64 (*.f64 b b) (*.f64 a a)))
#s(approx (+ -1 (pow (/ b a) 2)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (/ b (* a a)) (/.f64 b (*.f64 a a)))
#s(approx (- 1 (pow (/ b a) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
#s(approx (+ -1 (pow (/ b a) 2)) #s(literal -1 binary64))
#s(approx (+ -1 (pow (/ b a) 2)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
#s(approx (/ 1 b) (/.f64 #s(literal 1 binary64) b))
#s(approx b b)
#s(approx (- 1 (pow (/ b a) 2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 b b)))
#s(approx (+ -1 (pow (/ b a) 2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 b b)))

eval61.0ms (2%)

Memory
2.2MiB live, 135.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 7 060 to 1 745 computations (75.3% saved)

prune29.0ms (1%)

Memory
-17.2MiB live, 34.6MiB allocated; 20ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3920392
Fresh000
Picked044
Done011
Total3925397
Accuracy
100.0%
Counts
397 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.6%
(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))))
80.9%
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a))))
98.2%
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b))))
98.4%
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))))
Compiler

Compiled 188 to 103 computations (45.2% saved)

regimes59.0ms (1.9%)

Memory
-0.5MiB live, 46.8MiB allocated; 18ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b))))
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Calls

7 calls:

35.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
5.0ms
b
5.0ms
a
4.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
3.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Results
AccuracySegmentsBranch
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 44 to 31 computations (29.5% saved)

regimes14.0ms (0.5%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Accuracy

Total -11.3b remaining (-1125.8%)

Threshold costs -11.3b (-1125.8%)

Counts
4 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (*.f64 (/.f64 #s(literal 1 binary64) b) b))))
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) (/.f64 (/.f64 (*.f64 a a) a) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* b b) (* a a))) #s(literal 1 binary64))))
Calls

7 calls:

2.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
2.0ms
a
2.0ms
b
2.0ms
(*.f64 a a)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
98.4%1(*.f64 b b)
98.4%1(*.f64 a a)
98.4%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
98.4%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
98.4%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
98.4%1a
98.4%1b
Compiler

Compiled 44 to 31 computations (29.5% saved)

derivations1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 23 to 16 computations (30.4% saved)

preprocess19.0ms (0.6%)

Memory
-16.9MiB live, 29.9MiB allocated; 2ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 128 to 96 computations (25% saved)

end0.0ms (0%)

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

Profiling

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