Eccentricity of an ellipse

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze12.0ms (0.5%)

Memory
23.4MiB live, 23.4MiB 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)

sample986.0ms (44.2%)

Memory
19.4MiB live, 1 161.0MiB allocated; 339ms collecting garbage
Samples
644.0ms8 256×0valid
90.0ms812×0invalid
Precisions
Click to see histograms. Total time spent on operations: 460.0ms
ival-fabs: 133.0ms (28.9% of total)
ival-mult!: 130.0ms (28.3% of total)
ival-<=: 70.0ms (15.2% of total)
ival-sqrt: 61.0ms (13.3% of total)
ival-div!: 37.0ms (8% of total)
ival-sub!: 23.0ms (5% of total)
ival-and: 4.0ms (0.9% of total)
adjust: 2.0ms (0.4% of total)
ival-assert: 1.0ms (0.2% of total)
Bogosity

preprocess35.0ms (1.6%)

Memory
-7.1MiB live, 39.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02680
114268
2106856
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Symmetry

(abs a)

(abs b)

Compiler

Compiled 18 to 16 computations (11.1% saved)

series8.0ms (0.3%)

Memory
15.4MiB live, 15.4MiB 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)

rewrite268.0ms (12%)

Memory
-24.8MiB live, 159.1MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053321
061310
1264279
22591243
08256243
128282243
Stop Event
saturated
node-limit
iter-limit
Counts
24 → 245
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
(pow.f64 (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(pow.f64 (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) a) a)
(/.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (fabs.f64 a))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 a a))
(sqrt.f64 (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fabs.f64 b)) (fabs.f64 b))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 b)) (neg.f64 b))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) b) b)
(*.f64 (/.f64 (+.f64 b a) (fabs.f64 a)) (/.f64 (-.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (+.f64 b a) (neg.f64 a)) (/.f64 (-.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(*.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (+.f64 b a) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 b (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (*.f64 b b) (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 a)) (neg.f64 a))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) b))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) #s(literal 2 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 a a) b) b)) (*.f64 (*.f64 (*.f64 a a) a) a))
(/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (neg.f64 a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 b b)))
(neg.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(neg.f64 (fma.f64 b (/.f64 b (*.f64 a 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 (*.f64 b b) (fabs.f64 a)) (/.f64 #s(literal -1 binary64) (fabs.f64 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 (*.f64 b b) (neg.f64 a)) (/.f64 #s(literal -1 binary64) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a 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))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 (neg.f64 a) a) (*.f64 a a)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (*.f64 b b)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))
(+.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))
(*.f64 (+.f64 (fabs.f64 a) (fabs.f64 b)) (-.f64 (fabs.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) (neg.f64 b)) (-.f64 (fabs.f64 a) (neg.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) b) (-.f64 (fabs.f64 a) b))
(*.f64 (+.f64 (neg.f64 a) (fabs.f64 b)) (-.f64 (neg.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (neg.f64 a) (neg.f64 b)) (-.f64 (neg.f64 a) (neg.f64 b)))
(*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))
(*.f64 (+.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b)))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 b)) (fabs.f64 b) (*.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) b) b (*.f64 a a))
(fma.f64 (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) a) a (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) a) a (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal -1 binary64)) (*.f64 a a))
(fma.f64 (fabs.f64 b) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 a a))
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (neg.f64 b) b))
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a))
(fma.f64 (*.f64 b b) #s(literal -1 binary64) (*.f64 a a))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b))
(fma.f64 b (*.f64 b #s(literal -1 binary64)) (*.f64 a a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 a (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 a (*.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 a a (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 (neg.f64 b)) b))
(-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(*.f64 (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 #s(literal 1 binary64) (fabs.f64 a)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 #s(literal 1 binary64) a) a)
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 a (*.f64 a #s(literal 1 binary64)))
(*.f64 a a)
(pow.f64 (neg.f64 (fabs.f64 (fabs.f64 a))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 a))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 a a) a) a) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)))
(neg.f64 (*.f64 (*.f64 a a) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (*.f64 (*.f64 (*.f64 a a) a) a))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(+.f64 (/.f64 (fma.f64 a a (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 2 binary64)))
a
(*.f64 (*.f64 (fabs.f64 b) #s(literal 1 binary64)) (*.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 1 binary64))
(*.f64 b (*.f64 b #s(literal 1 binary64)))
(*.f64 b b)
(pow.f64 (neg.f64 (fabs.f64 (fabs.f64 b))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 b))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 b))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 b b) b) b) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (*.f64 (*.f64 (*.f64 b b) b) b))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(+.f64 (/.f64 (fma.f64 b b (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 2 binary64)))
b
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 b a)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 b a)))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) b))

eval28.0ms (1.2%)

Memory
8.5MiB live, 52.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 096 to 1 065 computations (49.2% saved)

prune7.0ms (0.3%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2316237
Fresh000
Picked101
Done000
Total2326238
Accuracy
100.0%
Counts
238 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
3.9%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
99.9%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
74.8%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
97.3%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 116 to 114 computations (1.7% saved)

series24.0ms (1.1%)

Memory
0.4MiB live, 45.0MiB allocated; 5ms collecting garbage
Counts
29 → 68
Calls
Call 1
Inputs
(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))
(+.f64 b a)
b
a
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a)))
(/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(*.f64 a a)
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
(fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a))))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))
(/.f64 (-.f64 a b) (*.f64 a a))
Outputs
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (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 (+ 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 (/ (- (* 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)) (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 (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 (/ b (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ a (* -1 b)) (pow a 2))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 1))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#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 (+ 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 (/ (- (* 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 (+ (* 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 (/ (- a b) (* a a)) #s(hole binary64 (/ 1 a)))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ 1 (* -1 (/ b a))) a)))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#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 (+ 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 (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ (- (/ b a) 1) a))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (+ (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#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 (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (+ (* b (/ b (* a a))) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) 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)))))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
((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)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (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)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) -1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)))
4.0ms
b
@inf
((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)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (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)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) -1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)))
3.0ms
b
@-inf
((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)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (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)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) -1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)))
3.0ms
b
@0
((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)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (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)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) -1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)))
3.0ms
a
@0
((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)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (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)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) -1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)))

rewrite290.0ms (13%)

Memory
5.5MiB live, 200.7MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02511548
02821465
114441246
083621236
1374181236
Stop Event
saturated
node-limit
iter-limit
Counts
97 → 577
Calls
Call 1
Inputs
(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))
(+.f64 b a)
b
a
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a)))
(/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(*.f64 a a)
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
(fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a))))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))
(/.f64 (-.f64 a b) (*.f64 a a))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (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 (+ 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 (/ (- (* 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)) (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 (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 (/ b (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ a (* -1 b)) (pow a 2))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 1))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#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 (+ 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 (/ (- (* 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 (+ (* 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 (/ (- a b) (* a a)) #s(hole binary64 (/ 1 a)))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ 1 (* -1 (/ b a))) a)))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#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 (+ 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 (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ (- (/ b a) 1) a))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (+ (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#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 (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (+ (* b (/ b (* a a))) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) 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)))))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))))
Outputs
(*.f64 (sqrt.f64 (fabs.f64 (+.f64 a b))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a a)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 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))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b)))) (fabs.f64 a))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b)))) (sqrt.f64 (fabs.f64 a)))
(sqrt.f64 (*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(*.f64 (fabs.f64 (-.f64 b a)) (fabs.f64 (/.f64 (+.f64 a b) (*.f64 a a))))
(*.f64 (fabs.f64 (-.f64 a b)) (fabs.f64 (/.f64 (+.f64 a b) (*.f64 a a))))
(*.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a a))) (fabs.f64 (+.f64 a b)))
(*.f64 (fabs.f64 (+.f64 a b)) (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a a))))
(*.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b))) (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(*.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))) (fabs.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 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))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b)))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b)))) (neg.f64 (fabs.f64 a)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 a b)))) (*.f64 a a))
(/.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b))) (*.f64 a a))
(/.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))) (fabs.f64 a))
(sqrt.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))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fabs.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (fabs.f64 a)))
(*.f64 (/.f64 (-.f64 a b) (fabs.f64 a)) (/.f64 (+.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (+.f64 a b) (fabs.f64 a)) (/.f64 (-.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (-.f64 a b) (neg.f64 a)) (/.f64 (+.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 a b) (neg.f64 a)) (/.f64 (-.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) a))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a a))))
(*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (neg.f64 a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 a b))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 a b) a))
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(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fabs.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (fabs.f64 a)))
(*.f64 (/.f64 (-.f64 a b) (fabs.f64 a)) (/.f64 (+.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (+.f64 a b) (fabs.f64 a)) (/.f64 (-.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (-.f64 a b) (neg.f64 a)) (/.f64 (+.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 a b) (neg.f64 a)) (/.f64 (-.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) a))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a a))))
(*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (neg.f64 a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 a b))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 a b) a))
(*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
(*.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a b) (*.f64 a b))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) #s(literal 2 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) b))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a a))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) b))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a a))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (neg.f64 (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) (*.f64 (*.f64 a a) (neg.f64 (*.f64 a a))))
(/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 a b)) #s(literal -1 binary64)) (*.f64 a (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 a b)) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 a b)))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b)))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 a b))) (*.f64 a a))
(/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b)) a)
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (neg.f64 (*.f64 a a))))
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))))))
(neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #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) (neg.f64 a)) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (/.f64 b (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (fabs.f64 a)) (/.f64 (neg.f64 b) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b 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) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) (/.f64 (neg.f64 (*.f64 a a)) (*.f64 a a)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))
(+.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))))
(*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a a))))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) (neg.f64 b))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) (/.f64 b a))) (*.f64 (*.f64 a a) a))
(/.f64 (-.f64 (*.f64 a (neg.f64 (*.f64 a a))) (*.f64 (*.f64 a a) (neg.f64 b))) (*.f64 (*.f64 a a) (neg.f64 (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) b)) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (neg.f64 (/.f64 (-.f64 a b) a)) (neg.f64 a))
(/.f64 (-.f64 b a) (neg.f64 (*.f64 a a)))
(/.f64 (/.f64 (-.f64 a b) a) a)
(/.f64 (-.f64 a b) (neg.f64 (neg.f64 (*.f64 a a))))
(/.f64 (-.f64 a b) (*.f64 a a))
(fma.f64 (/.f64 b (fabs.f64 a)) (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 a (*.f64 a a)))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 a a)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 b (fabs.f64 a)) (/.f64 a (*.f64 a a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a) (/.f64 a (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (neg.f64 a)) (/.f64 a (*.f64 a a)))
(fma.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64) (/.f64 a (*.f64 a a)))
(fma.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) a) (/.f64 a (*.f64 a a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 a (*.f64 a a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a a)) (/.f64 a (*.f64 a a)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (neg.f64 b) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 a a) a) (/.f64 b (*.f64 a a)))
(-.f64 (/.f64 a (*.f64 a a)) (/.f64 (neg.f64 (neg.f64 b)) (*.f64 a a)))
(-.f64 (/.f64 a (*.f64 a a)) (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a a)))
(-.f64 (/.f64 a (*.f64 a a)) (neg.f64 (/.f64 (neg.f64 b) (*.f64 a a))))
(-.f64 (/.f64 a (*.f64 a a)) (/.f64 b (*.f64 a a)))
(+.f64 (/.f64 (/.f64 a a) a) (/.f64 (/.f64 (neg.f64 b) a) a))
(+.f64 (/.f64 a (*.f64 a a)) (/.f64 (neg.f64 b) (*.f64 a a)))
(+.f64 (/.f64 (neg.f64 b) (*.f64 a a)) (/.f64 a (*.f64 a a)))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal 0 binary64) b) a)) (*.f64 a a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (fma.f64 #s(literal 0 binary64) b a) a)) (*.f64 a a)))
#s(approx (* (+ b a) (/ (- a b) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
#s(approx (* (+ b a) (/ (- a b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal 0 binary64) b) a)) a))
#s(approx (* (+ b a) (/ (- a b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (fma.f64 #s(literal 0 binary64) b a) a)) a))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx a a)
#s(approx (/ (- a b) a) (/.f64 (neg.f64 b) a))
#s(approx (/ (- a b) a) (/.f64 (-.f64 a b) a))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 a b)))
#s(approx (* a a) (*.f64 a a))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (+ (* b (/ b (* a a))) -1) (*.f64 (/.f64 b (*.f64 a a)) b))
#s(approx (+ (* b (/ b (* a a))) -1) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
#s(approx (/ b (* a a)) (/.f64 b (*.f64 a a)))
#s(approx (/ (- a b) (* a a)) (/.f64 (neg.f64 b) (*.f64 a a)))
#s(approx (/ (- a b) (* a a)) (/.f64 (-.f64 a b) (*.f64 a a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) (/.f64 b a))))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) (/.f64 b a))) a))
#s(approx (+ b a) (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a))
#s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))))
#s(approx (+ (* b (/ b (* a a))) -1) #s(literal -1 binary64))
#s(approx (+ (* b (/ b (* a a))) -1) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
#s(approx (/ (- a b) (* a a)) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (- a b) (* a a)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) b (/.f64 (*.f64 b b) a)) a)))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 b b) a)) a)) #s(literal 1 binary64))))
#s(approx (+ b a) (*.f64 (neg.f64 a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
#s(approx (- a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (/ (- a b) (* a a)) (neg.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (* (+ b a) (/ (- a b) a)) (-.f64 a (/.f64 (*.f64 b b) a)))
#s(approx (- a b) (-.f64 a b))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 a b)))
#s(approx (/ (- a b) (* a a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 b) (*.f64 a a))))
#s(approx (/ (- (* a a) (* 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 (* (+ b a) (/ (- a b) a)) (*.f64 (-.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 b b)))
#s(approx (+ b a) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) b))
#s(approx (/ (- a b) a) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (- (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (*.f64 b b)))
#s(approx (+ (* b (/ b (* a a))) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (/ (- a b) (* a a)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) b))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (+ b a) (*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 a b))))
#s(approx (/ (- a b) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (- a b) (*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (- a b) (* a a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))))

eval69.0ms (3.1%)

Memory
-28.5MiB live, 112.9MiB allocated; 19ms collecting garbage
Compiler

Compiled 4 440 to 2 025 computations (54.4% saved)

prune8.0ms (0.4%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5053508
Fresh101
Picked235
Done000
Total5086514
Accuracy
100.0%
Counts
514 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.7%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
75.8%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))))
74.8%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
97.3%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 59 to 56 computations (5.1% saved)

series20.0ms (0.9%)

Memory
-8.5MiB live, 36.8MiB allocated; 4ms collecting garbage
Counts
20 → 39
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(-.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 b a)
b
a
#s(literal 1 binary64)
(-.f64 (/.f64 b a) #s(literal -1 binary64))
#s(literal -1 binary64)
(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 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))
(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(fabs.f64 a)
Outputs
#s(approx (sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) #s(hole binary64 (sqrt (fabs (* (+ 1 (/ b a)) (- (/ b a) 1))))))
#s(approx (fabs (* (- (/ b a) 1) (- (/ b a) -1))) #s(hole binary64 (fabs (* (+ 1 (/ b a)) (- (/ b a) 1)))))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (/ (+ (* a (+ b (* -1 b))) (pow b 2)) (pow a 2))))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (/ (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) (pow a 2))))
#s(approx (- (/ b a) 1) #s(hole binary64 (/ b a)))
#s(approx (- (/ b a) 1) #s(hole binary64 (/ (+ b (* -1 a)) a)))
#s(approx a #s(hole binary64 a))
#s(approx (- (/ b a) -1) #s(hole binary64 (/ (+ a b) a)))
#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 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (/ (sqrt (fabs (- (* a a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (- (pow a 2) (pow b 2)))))))
#s(approx (sqrt (fabs (- (* a a) (* b b)))) #s(hole binary64 (sqrt (fabs (- (pow a 2) (pow b 2))))))
#s(approx (fabs (- (* a a) (* b b))) #s(hole binary64 (fabs (- (pow a 2) (pow b 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 (fabs a) #s(hole binary64 (fabs a)))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 -1))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (- (+ (* -1 (/ b a)) (/ b a)) 1)))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)))
#s(approx (- (/ b a) 1) #s(hole binary64 (- (/ b a) 1)))
#s(approx (- (/ b a) -1) #s(hole binary64 1))
#s(approx (- (/ b a) -1) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (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 (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- (/ b a) 1) #s(hole binary64 (* b (- (/ 1 a) (/ 1 b)))))
#s(approx (- (/ b a) -1) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) #s(hole binary64 (sqrt (fabs (* -1 (* (+ 1 (* -1 (/ b a))) (- 1 (* -1 (/ b a)))))))))
#s(approx (fabs (* (- (/ b a) 1) (- (/ b a) -1))) #s(hole binary64 (fabs (* -1 (* (+ 1 (* -1 (/ b a))) (- 1 (* -1 (/ b a))))))))
#s(approx (- (/ b a) 1) #s(hole binary64 (* -1 (* b (- (/ 1 b) (/ 1 a))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
((sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) (fabs (* (- (/ b a) 1) (- (/ b a) -1))) (* (- (/ b a) 1) (- (/ b a) -1)) (- (/ b a) 1) (/ b a) b a 1 (- (/ b a) -1) -1 (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) (fabs a)) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (fabs a))
4.0ms
a
@0
((sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) (fabs (* (- (/ b a) 1) (- (/ b a) -1))) (* (- (/ b a) 1) (- (/ b a) -1)) (- (/ b a) 1) (/ b a) b a 1 (- (/ b a) -1) -1 (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) (fabs a)) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (fabs a))
3.0ms
b
@-inf
((sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) (fabs (* (- (/ b a) 1) (- (/ b a) -1))) (* (- (/ b a) 1) (- (/ b a) -1)) (- (/ b a) 1) (/ b a) b a 1 (- (/ b a) -1) -1 (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) (fabs a)) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (fabs a))
3.0ms
b
@inf
((sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) (fabs (* (- (/ b a) 1) (- (/ b a) -1))) (* (- (/ b a) 1) (- (/ b a) -1)) (- (/ b a) 1) (/ b a) b a 1 (- (/ b a) -1) -1 (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) (fabs a)) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (fabs a))
2.0ms
a
@inf
((sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) (fabs (* (- (/ b a) 1) (- (/ b a) -1))) (* (- (/ b a) 1) (- (/ b a) -1)) (- (/ b a) 1) (/ b a) b a 1 (- (/ b a) -1) -1 (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ (sqrt (fabs (- (* a a) (* b b)))) (fabs a)) (sqrt (fabs (- (* a a) (* b b)))) (fabs (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (fabs a))

rewrite236.0ms (10.6%)

Memory
-18.8MiB live, 132.3MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154856
0177693
1942660
08361658
130684658
Stop Event
saturated
node-limit
iter-limit
Counts
59 → 511
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(-.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 b a)
b
a
#s(literal 1 binary64)
(-.f64 (/.f64 b a) #s(literal -1 binary64))
#s(literal -1 binary64)
(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 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))
(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(fabs.f64 a)
#s(approx (sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) #s(hole binary64 (sqrt (fabs (* (+ 1 (/ b a)) (- (/ b a) 1))))))
#s(approx (fabs (* (- (/ b a) 1) (- (/ b a) -1))) #s(hole binary64 (fabs (* (+ 1 (/ b a)) (- (/ b a) 1)))))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (/ (+ (* a (+ b (* -1 b))) (pow b 2)) (pow a 2))))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (/ (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) (pow a 2))))
#s(approx (- (/ b a) 1) #s(hole binary64 (/ b a)))
#s(approx (- (/ b a) 1) #s(hole binary64 (/ (+ b (* -1 a)) a)))
#s(approx a #s(hole binary64 a))
#s(approx (- (/ b a) -1) #s(hole binary64 (/ (+ a b) a)))
#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 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (/ (sqrt (fabs (- (* a a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (- (pow a 2) (pow b 2)))))))
#s(approx (sqrt (fabs (- (* a a) (* b b)))) #s(hole binary64 (sqrt (fabs (- (pow a 2) (pow b 2))))))
#s(approx (fabs (- (* a a) (* b b))) #s(hole binary64 (fabs (- (pow a 2) (pow b 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 (fabs a) #s(hole binary64 (fabs a)))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 -1))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (- (+ (* -1 (/ b a)) (/ b a)) 1)))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)))
#s(approx (- (/ b a) 1) #s(hole binary64 (- (/ b a) 1)))
#s(approx (- (/ b a) -1) #s(hole binary64 1))
#s(approx (- (/ b a) -1) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (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 (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (* (- (/ b a) 1) (- (/ b a) -1)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- (/ b a) 1) #s(hole binary64 (* b (- (/ 1 a) (/ 1 b)))))
#s(approx (- (/ b a) -1) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) #s(hole binary64 (sqrt (fabs (* -1 (* (+ 1 (* -1 (/ b a))) (- 1 (* -1 (/ b a)))))))))
#s(approx (fabs (* (- (/ b a) 1) (- (/ b a) -1))) #s(hole binary64 (fabs (* -1 (* (+ 1 (* -1 (/ b a))) (- 1 (* -1 (/ b a))))))))
#s(approx (- (/ b a) 1) #s(hole binary64 (* -1 (* b (- (/ 1 b) (/ 1 a))))))
Outputs
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(pow.f64 (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(*.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))) (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(*.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(pow.f64 (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(fabs.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)))
(*.f64 (+.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a a))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) b)) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) b) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 a) a) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 a) a) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(neg.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a a))) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 a b) (*.f64 a b))) b (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) (*.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) (*.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 b a))) (*.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 b a))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) (*.f64 #s(literal 1 binary64) (fabs.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 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a a)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (/.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
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b
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(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a) (fma.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(fma.f64 b (*.f64 (/.f64 (-.f64 a b) (*.f64 a b)) #s(literal -1 binary64)) (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(fma.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 a b) (*.f64 a b))) (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(fma.f64 b (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (fma.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (fma.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 b (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 (neg.f64 b) a) (-.f64 (/.f64 (fma.f64 (/.f64 b a) b b) (neg.f64 a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 b) a) (+.f64 (/.f64 (fma.f64 (/.f64 b a) b b) (neg.f64 a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (neg.f64 b) a) (neg.f64 (fma.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) #s(literal -1 binary64))))
(-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
(+.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a)) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(+.f64 (fma.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 b) a))
(+.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(+.f64 (/.f64 (fma.f64 (/.f64 b a) b b) a) (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 (/.f64 b a) b b) a) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(+.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(+.f64 (/.f64 (neg.f64 b) a) (fma.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) #s(literal -1 binary64)))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(+.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a a)))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 (*.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) #s(literal -1 binary64)) (neg.f64 (fabs.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) #s(literal 1 binary64)) (fabs.f64 a))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))))) (neg.f64 (neg.f64 (fabs.f64 a))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))) (neg.f64 (fabs.f64 a)))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(neg.f64 (/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (neg.f64 (fabs.f64 a))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))) (fabs.f64 a)))
(sqrt.f64 (/.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))) (*.f64 a a)))
(fabs.f64 (/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (neg.f64 a)))
(fabs.f64 (/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) a))
(pow.f64 (*.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))))
(sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))))
(fabs.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))))
(pow.f64 (*.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))))
(fabs.f64 (neg.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))
(fabs.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))
(fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 b)) (fabs.f64 b))
(*.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal -1 binary64)))
(*.f64 (fabs.f64 b) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 b) b)
(*.f64 (*.f64 b b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 b b))
(*.f64 b (neg.f64 b))
(neg.f64 (*.f64 b b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 (sqrt.f64 (fabs.f64 a)) (sqrt.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 a))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 a a))
(fabs.f64 (fabs.f64 a))
(fabs.f64 (neg.f64 a))
(fabs.f64 a)
#s(approx (sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
#s(approx (fabs (+ (* (/ b a) (/ b a)) -1)) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (+ (* (/ b a) (/ b a)) -1) (*.f64 b (/.f64 b (*.f64 a a))))
#s(approx (+ (* (/ b a) (/ b a)) -1) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a a)))
#s(approx (+ (* (/ b a) (/ b a)) -1) (/.f64 (fma.f64 (-.f64 (neg.f64 a) #s(literal 0 binary64)) a (*.f64 b b)) (*.f64 a a)))
#s(approx (- (/ b a) 1) (/.f64 b a))
#s(approx (- (/ b a) 1) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (- (/ b a) -1) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
#s(approx (sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
#s(approx (fabs (+ (* (/ b a) (/ b a)) -1)) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (+ (* (/ b a) (/ b a)) -1) (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a a)))
#s(approx (/ (sqrt (fabs (- (* a a) (* b b)))) (fabs a)) (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (fabs.f64 a)))
#s(approx (sqrt (fabs (- (* a a) (* b b)))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))))
#s(approx (fabs (- (* a a) (* b b))) (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a))))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 a b)))
#s(approx (fabs a) (fabs.f64 a))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ b a) (/ b a)) -1) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (/ b a) 1) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (- (/ b a) -1) #s(literal 1 binary64))
#s(approx (- (/ b a) -1) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
#s(approx (+ (* (/ b a) (/ b a)) -1) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) a) a))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ b a) (/ b a)) -1) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
#s(approx b b)
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 a b)))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (* (/ b a) (/ b a)) -1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b) b))
#s(approx (- (/ b a) 1) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (- (/ b a) -1) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) b))
#s(approx (sqrt (fabs (* (- (/ b a) 1) (- (/ b a) -1)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
#s(approx (fabs (+ (* (/ b a) (/ b a)) -1)) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (/ b a) 1) (-.f64 (/.f64 b a) #s(literal 1 binary64)))

eval43.0ms (1.9%)

Memory
42.9MiB live, 86.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 946 to 1 436 computations (51.3% saved)

prune14.0ms (0.6%)

Memory
-38.5MiB live, 19.2MiB allocated; 7ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3570357
Fresh000
Picked033
Done033
Total3576363
Accuracy
100.0%
Counts
363 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.7%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
75.8%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))))
74.8%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
97.3%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 135 to 111 computations (17.8% saved)

regimes19.0ms (0.9%)

Memory
-4.7MiB live, 42.6MiB allocated; 1ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))))
(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:

4.0ms
(*.f64 a a)
3.0ms
b
3.0ms
a
2.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
2.0ms
(sqrt.f64 (fabs.f64 (/.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 30 to 31 computations (-3.3% saved)

regimes10.0ms (0.5%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Accuracy

Total -59.8b remaining (-3501.1%)

Threshold costs -59.8b (-3501.1%)

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

7 calls:

2.0ms
a
2.0ms
b
1.0ms
(*.f64 a a)
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
1.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
Results
AccuracySegmentsBranch
97.3%1(*.f64 b b)
97.3%1(*.f64 a a)
97.3%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
97.3%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
97.3%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
97.3%1a
97.3%1b
Compiler

Compiled 30 to 31 computations (-3.3% saved)

derivations134.0ms (6%)

Memory
-26.8MiB live, 67.5MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 17 to 15 computations (11.8% saved)

preprocess16.0ms (0.7%)

Memory
36.3MiB live, 36.3MiB allocated; 0ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 102 to 91 computations (10.8% saved)

end0.0ms (0%)

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

Profiling

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