Bouland and Aaronson, Equation (26)

Time bar (total: 5.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.0s (19%)

Memory
42.3MiB live, 988.4MiB allocated; 426ms collecting garbage
Samples
654.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 392.0ms
ival-mult!: 189.0ms (48.3% of total)
ival-pow2: 127.0ms (32.4% of total)
ival-add!: 45.0ms (11.5% of total)
ival-sub!: 30.0ms (7.7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess53.0ms (1%)

Memory
-20.9MiB live, 23.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032102
1140102
2611102
32729102
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Symmetry

(abs a)

(abs b)

Compiler

Compiled 26 to 24 computations (7.7% saved)

series113.0ms (2.1%)

Memory
7.5MiB live, 107.5MiB allocated; 19ms collecting garbage
Counts
12 → 34
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64)))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
#s(approx (+ (* a a) (* b b)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx b b)
#s(approx (* 4 (* b b)) (*.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))))
#s(approx (+ (* a a) (* b b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (+ (* a a) (* b b)) (* a a) a (* b b) b 2 (* 4 (* b b)) 4 1)
1.0ms
a
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (+ (* a a) (* b b)) (* a a) a (* b b) b 2 (* 4 (* b b)) 4 1)
1.0ms
a
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (+ (* a a) (* b b)) (* a a) a (* b b) b 2 (* 4 (* b b)) 4 1)
1.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (+ (* a a) (* b b)) (* a a) a (* b b) b 2 (* 4 (* b b)) 4 1)
1.0ms
b
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (+ (* a a) (* b b)) (* a a) a (* b b) b 2 (* 4 (* b b)) 4 1)

rewrite798.0ms (14.7%)

Memory
42.1MiB live, 846.0MiB allocated; 149ms collecting garbage
Counts
12 → 865
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(+.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (neg.f64 #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (fma.f64 (*.f64 (*.f64 a a) a) a (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(+.f64 (+.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 (*.f64 a a) b) (+.f64 b b)) (fma.f64 (*.f64 (*.f64 a a) a) a (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))))
(+.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(+.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))))
(+.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b b) (neg.f64 #s(literal 1 binary64))))
(+.f64 (+.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(+.f64 (+.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 b b) (*.f64 b b)))
(+.f64 (+.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(+.f64 (+.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(+.f64 (+.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(+.f64 (+.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b b)))
(-.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (neg.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))))
(-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 (*.f64 b b)) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(-.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) #s(literal 0 binary64))
(-.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b))))
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(fma.f64 (*.f64 b b) (*.f64 b b) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (neg.f64 (*.f64 b b)) (neg.f64 (*.f64 b b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 b (fabs.f64 b)) (*.f64 b (fabs.f64 b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 b (neg.f64 (fabs.f64 b))) (*.f64 b (neg.f64 (fabs.f64 b))) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 b)) b) (*.f64 (neg.f64 (fabs.f64 b)) b) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
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(fma.f64 (*.f64 (fabs.f64 b) b) (*.f64 (fabs.f64 b) b) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (fabs.f64 b) (neg.f64 b)) (*.f64 (fabs.f64 b) (neg.f64 b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (neg.f64 b) (neg.f64 (fabs.f64 b))) (*.f64 (neg.f64 b) (neg.f64 (fabs.f64 b))) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (neg.f64 b) (fabs.f64 b)) (*.f64 (neg.f64 b) (fabs.f64 b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (fabs.f64 b)) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 b b) (neg.f64 (fabs.f64 b))) (neg.f64 (fabs.f64 b)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 b b) (fabs.f64 b)) (fabs.f64 b) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (neg.f64 b) (-.f64 (fma.f64 (*.f64 (*.f64 a a) b) (+.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 a a) (*.f64 a a) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (neg.f64 (*.f64 a a)) (neg.f64 (*.f64 a a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 a (fabs.f64 a)) (*.f64 a (fabs.f64 a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 a (neg.f64 (fabs.f64 a))) (*.f64 a (neg.f64 (fabs.f64 a))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 a)) a) (*.f64 (neg.f64 (fabs.f64 a)) a) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 a)) (*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (fabs.f64 a) a) (*.f64 (fabs.f64 a) a) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (fabs.f64 a) (neg.f64 a)) (*.f64 (fabs.f64 a) (neg.f64 a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (neg.f64 a) (neg.f64 (fabs.f64 a))) (*.f64 (neg.f64 a) (neg.f64 (fabs.f64 a))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (neg.f64 a) (fabs.f64 a)) (*.f64 (neg.f64 a) (fabs.f64 a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 a (*.f64 a (*.f64 a a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 (fabs.f64 a)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 a a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 a a) a) a (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 a a) (neg.f64 (fabs.f64 a))) (neg.f64 (fabs.f64 a)) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 a a) (fabs.f64 a)) (fabs.f64 a) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
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(fma.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 (fabs.f64 a)) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
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(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (neg.f64 (fabs.f64 a))) (neg.f64 (fabs.f64 a)) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fabs.f64 a)) (fabs.f64 a) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
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(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (neg.f64 a)) (neg.f64 a) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
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(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) b) b (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (neg.f64 (fabs.f64 b))) (neg.f64 (fabs.f64 b)) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fabs.f64 b)) (fabs.f64 b) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
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(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
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(fabs.f64 (neg.f64 (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 a a))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a)))
(-.f64 (*.f64 a a) (neg.f64 (*.f64 b b)))
(-.f64 (*.f64 b b) (neg.f64 (*.f64 a a)))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (neg.f64 (neg.f64 (fabs.f64 a))) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (neg.f64 (neg.f64 (fabs.f64 b))) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (fabs.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 b) (neg.f64 (neg.f64 (fabs.f64 b))) (*.f64 a a))
(fma.f64 b b (*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (fabs.f64 b) (*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a)))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (neg.f64 (neg.f64 (fabs.f64 b))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a)))
(fma.f64 (fabs.f64 b) (neg.f64 (neg.f64 (fabs.f64 b))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a)))
(neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b))))
(sqrt.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(*.f64 a a)
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (neg.f64 (neg.f64 (fabs.f64 a))))
(fabs.f64 (*.f64 a a))
(fabs.f64 (neg.f64 (*.f64 a a)))
(neg.f64 (neg.f64 (*.f64 a a)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 a a) (*.f64 a a)))
a
(neg.f64 (neg.f64 a))
(*.f64 b b)
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (neg.f64 (neg.f64 (fabs.f64 b))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (fabs.f64 b))
(*.f64 (fabs.f64 b) (neg.f64 (neg.f64 (fabs.f64 b))))
(fabs.f64 (*.f64 b b))
(fabs.f64 (neg.f64 (*.f64 b b)))
(neg.f64 (neg.f64 (*.f64 b b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b)))
b
(neg.f64 (neg.f64 b))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) #s(literal 0 binary64))
(neg.f64 (neg.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 (*.f64 b #s(literal 4 binary64)) b)
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (fabs.f64 b) #s(literal 4 binary64)) (fabs.f64 b))
(*.f64 (*.f64 (fabs.f64 b) (neg.f64 #s(literal 4 binary64))) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 (*.f64 b #s(literal 4 binary64)))) b)
(*.f64 (neg.f64 (*.f64 b #s(literal 4 binary64))) (neg.f64 b))
(*.f64 (neg.f64 (*.f64 b b)) (neg.f64 #s(literal 4 binary64)))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 4 binary64)))
(*.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 b b)))
(*.f64 (neg.f64 b) (neg.f64 (*.f64 b #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 b #s(literal 4 binary64))))) (neg.f64 b))
(*.f64 (neg.f64 (*.f64 (fabs.f64 b) (neg.f64 #s(literal 4 binary64)))) (fabs.f64 b))
(*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (fabs.f64 b))) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (fabs.f64 b)) #s(literal 4 binary64)))
(neg.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b))))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (neg.f64 #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)))

eval112.0ms (2.1%)

Memory
-29.4MiB live, 157.1MiB allocated; 24ms collecting garbage
Compiler

Compiled 11 351 to 2 348 computations (79.3% saved)

prune12.0ms (0.2%)

Memory
24.7MiB live, 24.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New8873890
Fresh000
Picked101
Done000
Total8883891
Accuracy
100.0%
Counts
891 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
49.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
72.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
Compiler

Compiled 49 to 47 computations (4.1% saved)

series107.0ms (2%)

Memory
14.6MiB live, 61.2MiB allocated; 2ms collecting garbage
Counts
14 → 32
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b b)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (- (pow a 4) 1) #s(literal -1 binary64))
#s(approx (- (pow a 4) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (pow a 4) (pow.f64 a #s(literal 4 binary64)))
#s(approx a a)
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64)))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (- (pow a 4) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx b b)
#s(approx (* 4 (* b b)) (*.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* b b) (pow.f64 b #s(literal 2 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) (pow a 4) a 4 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (pow b 4) b (* 4 (* b b)) (* b b))
1.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) (pow a 4) a 4 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (pow b 4) b (* 4 (* b b)) (* b b))
1.0ms
a
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) (pow a 4) a 4 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (pow b 4) b (* 4 (* b b)) (* b b))
1.0ms
a
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) (pow a 4) a 4 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (pow b 4) b (* 4 (* b b)) (* b b))
1.0ms
b
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) (pow a 4) a 4 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow (+ (* a a) (* b b)) 2) (pow b 4) b (* 4 (* b b)) (* b b))

rewrite747.0ms (13.7%)

Memory
4.3MiB live, 616.3MiB allocated; 106ms collecting garbage
Counts
14 → 75
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b b)
Outputs
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (- (* 4 (* b b)) 1)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(+.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (neg.f64 (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (pow.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))
(pow.f64 a #s(literal 4 binary64))
a
(neg.f64 (neg.f64 a))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (neg.f64 #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (- (* 4 (* b b)) 1)) (pow.f64 a #s(literal 4 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
(neg.f64 (neg.f64 b))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 (*.f64 b #s(literal 4 binary64)) b)
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (fabs.f64 b) #s(literal 4 binary64)) (fabs.f64 b))
(*.f64 (*.f64 (fabs.f64 b) (neg.f64 #s(literal 4 binary64))) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 (*.f64 b #s(literal 4 binary64)))) b)
(*.f64 (neg.f64 (*.f64 b #s(literal 4 binary64))) (neg.f64 b))
(*.f64 (neg.f64 (*.f64 b b)) (neg.f64 #s(literal 4 binary64)))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 4 binary64)))
(*.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 b b)))
(*.f64 (neg.f64 b) (neg.f64 (*.f64 b #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 b #s(literal 4 binary64))))) (neg.f64 b))
(*.f64 (neg.f64 (*.f64 (fabs.f64 b) (neg.f64 #s(literal 4 binary64)))) (fabs.f64 b))
(*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (fabs.f64 b))) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (fabs.f64 b)) #s(literal 4 binary64)))
(neg.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(*.f64 b b)
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (neg.f64 (neg.f64 (fabs.f64 b))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (fabs.f64 b))
(*.f64 (fabs.f64 b) (neg.f64 (neg.f64 (fabs.f64 b))))
(fabs.f64 (*.f64 b b))
(fabs.f64 (neg.f64 (*.f64 b b)))
(neg.f64 (neg.f64 (*.f64 b b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b)))

eval390.0ms (7.2%)

Memory
-104.4MiB live, 24.8MiB allocated; 904ms collecting garbage
Compiler

Compiled 910 to 420 computations (53.8% saved)

prune7.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh000
Picked033
Done000
Total1184122
Accuracy
100.0%
Counts
122 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
49.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
72.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
24.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
Compiler

Compiled 67 to 64 computations (4.5% saved)

series97.0ms (1.8%)

Memory
-8.7MiB live, 54.1MiB allocated; 23ms collecting garbage
Counts
3 → 14
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (pow a 4) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (- (pow a 4) 1) #s(literal -1 binary64))
#s(approx (- (pow a 4) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (- (pow a 4) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) -1)
1.0ms
a
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) -1)
1.0ms
a
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) -1)
1.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) -1)
0.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (- (pow a 4) 1) -1)

rewrite811.0ms (14.9%)

Memory
-14.8MiB live, 646.4MiB allocated; 141ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (pow a 4) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (- (* (* 4 b) b) 1)) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (pow a 4) 1) #s(literal -1 binary64))
#s(literal -1 binary64)

eval2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 221 to 87 computations (60.6% saved)

prune2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New12113
Fresh000
Picked011
Done033
Total12517
Accuracy
100.0%
Counts
17 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
47.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
49.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
72.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
24.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
Compiler

Compiled 83 to 79 computations (4.8% saved)

series103.0ms (1.9%)

Memory
10.6MiB live, 60.7MiB allocated; 7ms collecting garbage
Counts
4 → 13
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (pow b 4) (pow.f64 b #s(literal 4 binary64)))
#s(approx b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4) b 4)
2.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4) b 4)
0.0ms
b
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4) b 4)
0.0ms
a
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4) b 4)
0.0ms
a
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4) b 4)

rewrite760.0ms (14%)

Memory
8.5MiB live, 794.8MiB allocated; 151ms collecting garbage
Counts
4 → 6
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
Outputs
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (- (* 4 (* b b)) 1)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
(neg.f64 (neg.f64 b))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))

eval2.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 208 to 87 computations (58.2% saved)

prune3.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done044
Total14519
Accuracy
100.0%
Counts
19 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
47.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
49.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
72.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
24.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
Compiler

Compiled 144 to 115 computations (20.1% saved)

regimes20.0ms (0.4%)

Memory
6.1MiB live, 50.5MiB allocated; 8ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Calls

6 calls:

9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
b
2.0ms
a
2.0ms
(*.f64 b b)
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.9%1(*.f64 b b)
99.9%1(*.f64 a a)
99.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
99.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.9%1a
99.9%1b
Compiler

Compiled 30 to 32 computations (-6.7% saved)

regimes51.0ms (0.9%)

Memory
16.3MiB live, 60.7MiB allocated; 7ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
Calls

6 calls:

41.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
b
2.0ms
a
2.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.3%2(*.f64 b b)
97.1%2(*.f64 a a)
75.7%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
75.7%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
97.1%2a
95.3%2b
Compiler

Compiled 30 to 32 computations (-6.7% saved)

regimes33.0ms (0.6%)

Memory
-12.3MiB live, 23.1MiB allocated; 42ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
Calls

4 calls:

2.0ms
b
2.0ms
a
2.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.3%2(*.f64 b b)
95.3%2b
77.3%2(*.f64 a a)
77.3%2a
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes9.0ms (0.2%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
Calls

6 calls:

2.0ms
b
2.0ms
a
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
(*.f64 b b)
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
75.5%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
75.5%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
76.7%3(*.f64 a a)
76.7%3a
75.5%4(*.f64 b b)
76.6%4b
Compiler

Compiled 30 to 32 computations (-6.7% saved)

regimes6.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
Calls

5 calls:

1.0ms
b
1.0ms
a
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
(*.f64 a a)
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
54.3%3b
72.5%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
72.5%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
72.2%2a
72.2%2(*.f64 a a)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes7.0ms (0.1%)

Memory
-35.3MiB live, 14.1MiB allocated; 2ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (- (pow a 4) 1) #s(literal -1 binary64)))
Calls

6 calls:

2.0ms
a
1.0ms
b
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
(*.f64 a a)
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
24.3%1b
24.3%1(*.f64 a a)
24.3%1a
24.3%1(*.f64 b b)
24.3%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
24.3%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Compiler

Compiled 30 to 32 computations (-6.7% saved)

bsearch13.0ms (0.2%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.0563321003009562e-14
2.4986552187534775e-11
Samples
6.0ms128×0valid
Compiler

Compiled 284 to 288 computations (-1.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (54.1% of total)
ival-pow2: 1.0ms (27% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
26770612693106180.0
2.557316338321421e+22
Samples
7.0ms144×0valid
Compiler

Compiled 326 to 322 computations (1.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (48.1% of total)
ival-add!: 1.0ms (24.1% of total)
ival-pow2: 1.0ms (24.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.008385050105910312
1.4953731737153049
0.0ms
7.604326808944399e-157
9.408105073471841e-157
Compiler

Compiled 19 to 16 computations (15.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9995400808005579
1.2361409286673832
Compiler

Compiled 16 to 17 computations (-6.3% saved)

derivations1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 76 to 51 computations (32.9% saved)

preprocess130.0ms (2.4%)

Memory
-2.2MiB live, 138.5MiB allocated; 114ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 947 to 711 computations (24.9% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...