Eccentricity of an ellipse

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze58.0ms (1.6%)

Memory
-15.1MiB live, 27.9MiB allocated; 11ms 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)

sample1.1s (29.4%)

Memory
27.3MiB live, 1 049.0MiB allocated; 275ms collecting garbage
Samples
660.0ms8 256×0valid
45.0ms763×0invalid
Precisions
Click to see histograms. Total time spent on operations: 372.0ms
ival-mult!: 154.0ms (41.4% of total)
ival-sqrt: 86.0ms (23.1% of total)
ival-fabs: 52.0ms (14% of total)
ival-div!: 43.0ms (11.6% of total)
ival-sub!: 26.0ms (7% of total)
ival-<=: 6.0ms (1.6% of total)
ival-and: 4.0ms (1.1% of total)
adjust: 2.0ms (0.5% of total)
ival-assert: 1.0ms (0.3% of total)
Bogosity

preprocess32.0ms (0.9%)

Memory
-10.6MiB live, 33.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02680
114268
2106656
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.8%
(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 (0.2%)

Memory
17.1MiB live, 17.1MiB 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)

rewrite154.0ms (4.3%)

Memory
-29.2MiB live, 88.0MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053321
061297
1274267
02944261
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
24 → 443
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
Outputs
(*.f64 (pow.f64 (fabs.f64 (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 1/4 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))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
(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)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(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 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) (fabs.f64 a))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 a b) (+.f64 b 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 b b) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.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 #s(literal 1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))) (fabs.f64 a)) (/.f64 (*.f64 (neg.f64 b) b) (fabs.f64 a)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))) (neg.f64 a)) (/.f64 (*.f64 (neg.f64 b) b) (neg.f64 a)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))) a) (/.f64 (*.f64 (neg.f64 b) b) a))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (fabs.f64 a)) (/.f64 (*.f64 a a) (fabs.f64 a)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (neg.f64 a)) (/.f64 (*.f64 a a) (neg.f64 a)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) a) (/.f64 (*.f64 a a) a))
(*.f64 (-.f64 a (/.f64 (*.f64 b 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 #s(literal 1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))) (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.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 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64))
(*.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)))))
(pow.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal -1 binary64))
(/.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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) a)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))))
(/.f64 (*.f64 (*.f64 b b) (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 (*.f64 (*.f64 b b) a) a))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (fma.f64 b b (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 b b (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) a))) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))))
(/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) a) a))
(/.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 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)) #s(literal 1 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 (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 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 (neg.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))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (neg.f64 (fma.f64 b b (*.f64 a a)))) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (fma.f64 b b (*.f64 a a))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 b b (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))))
(-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))
(-.f64 (*.f64 a a) (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) (*.f64 a a)))
(-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 a) a) (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 (neg.f64 b)) b))
(-.f64 (*.f64 a a) (neg.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (*.f64 a a))))
(-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (*.f64 b b) (*.f64 a (/.f64 a (*.f64 b b)))) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 (*.f64 a (/.f64 a (*.f64 b b))) (*.f64 b b)) (*.f64 (neg.f64 b) b))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))))))
(+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (*.f64 a a)) (*.f64 a a))
(+.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 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (*.f64 a a)))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(*.f64 (/.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 2 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 (*.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 (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 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.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) (/.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 (/.f64 a #s(literal 1 binary64)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(neg.f64 (/.f64 (*.f64 a a) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 a a) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)))
(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))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
a
(*.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.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 (/.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 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.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) (/.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 (/.f64 b #s(literal 1 binary64)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64))
(/.f64 (*.f64 b b) #s(literal 1 binary64))
(neg.f64 (/.f64 (*.f64 b b) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 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 b) (+.f64 b 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 a b) (+.f64 b a)))

eval57.0ms (1.6%)

Memory
-0.2MiB live, 85.0MiB allocated; 17ms collecting garbage
Compiler

Compiled 4 784 to 1 985 computations (58.5% saved)

prune8.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4285433
Fresh000
Picked101
Done000
Total4295434
Accuracy
100.0%
Counts
434 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.5%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
78.8%
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a a))))
4.1%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
100.0%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
97.3%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 98 to 94 computations (4.1% saved)

series25.0ms (0.7%)

Memory
3.7MiB live, 47.3MiB allocated; 5ms collecting garbage
Counts
29 → 57
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
(fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(/.f64 (+.f64 b a) a)
(+.f64 b a)
b
a
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(sqrt.f64 (fabs.f64 #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 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a a))))
(fabs.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a a)))
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
Outputs
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ b a)))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ (+ a b) a)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (fabs (/ (- (* 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 (sqrt (fabs (/ (+ (* (neg b) b) (* a a)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))))
#s(approx (fabs (/ (+ (* (neg b) b) (* a a)) (* a a))) #s(hole binary64 (fabs (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 1))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (- (* 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 (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (- (* 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 (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Calls

6 calls:

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

rewrite200.0ms (5.6%)

Memory
0.8MiB live, 249.4MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02161281
02491190
11406979
08365975
Stop Event
iter-limit
node-limit
iter-limit
Counts
86 → 987
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
(fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(/.f64 (+.f64 b a) a)
(+.f64 b a)
b
a
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(sqrt.f64 (fabs.f64 #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 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a a))))
(fabs.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a a)))
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ b a)))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ (+ a b) a)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (fabs (/ (- (* 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 (sqrt (fabs (/ (+ (* (neg b) b) (* a a)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))))
#s(approx (fabs (/ (+ (* (neg b) b) (* a a)) (* a a))) #s(hole binary64 (fabs (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 1))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (- (* 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 (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (- (* 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 (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Outputs
(*.f64 (pow.f64 (fabs.f64 (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 1/4 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (/.f64 (+.f64 a b) a))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) a))))
(*.f64 (pow.f64 (fabs.f64 (/.f64 (+.f64 a b) a)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (-.f64 a b) a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(*.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))
(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)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 b a)) (fabs.f64 (/.f64 (+.f64 a b) (*.f64 a a))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b)))) (fabs.f64 (*.f64 (/.f64 b (*.f64 a a)) b)))
(*.f64 (fabs.f64 (-.f64 a b)) (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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(*.f64 (fabs.f64 (/.f64 (-.f64 a b) a)) (fabs.f64 (/.f64 (+.f64 a b) a)))
(*.f64 (fabs.f64 (/.f64 (+.f64 a b) a)) (fabs.f64 (/.f64 (-.f64 a b) a)))
(*.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b))) (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 a 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 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b))) (fabs.f64 a))
(/.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))) (fabs.f64 a))
(/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) (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 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(/.f64 (fabs.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 b (*.f64 a a)) b)) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (*.f64 (/.f64 b (*.f64 a a)) b) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))))
(/.f64 (fabs.f64 (neg.f64 (fma.f64 b b (neg.f64 (*.f64 a a))))) (*.f64 a a))
(/.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b))) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 a b) (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 b a) (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 a a) (fma.f64 b b (neg.f64 (*.f64 a 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 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(fabs.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(fabs.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) (fabs.f64 a)) (/.f64 (*.f64 (neg.f64 b) b) (fabs.f64 a)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) (neg.f64 a)) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) a) (/.f64 (*.f64 (neg.f64 b) b) a))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (fabs.f64 a)) (/.f64 (*.f64 a a) (fabs.f64 a)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (neg.f64 a)) (/.f64 (*.f64 a a) (neg.f64 a)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) a) (/.f64 (*.f64 a a) 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 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 a b) a))
(*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a 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 (-.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(pow.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 a b) (+.f64 a b))) #s(literal -1 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (neg.f64 b) b)) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) (*.f64 a a) (*.f64 a a)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b b)) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
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#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (* (neg b) b) (* a a)) (*.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 (sqrt (fabs (/ (+ (* (neg b) b) (* a a)) (* a a)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (+ (* (neg b) b) (* a a)) (* 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 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (- a b) a) (*.f64 (neg.f64 b) (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
#s(approx (- a b) (-.f64 a b))

eval264.0ms (7.4%)

Memory
72.5MiB live, 299.8MiB allocated; 110ms collecting garbage
Compiler

Compiled 9 150 to 3 678 computations (59.8% saved)

prune870.0ms (24.3%)

Memory
-263.5MiB live, 39.2MiB allocated; 1.3s collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New7825787
Fresh000
Picked325
Done000
Total7857792
Accuracy
100.0%
Counts
792 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.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))))
79.5%
(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 a b) (/.f64 (-.f64 a b) a)) a)))
100.0%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))))
78.4%
(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 123 to 120 computations (2.4% saved)

series27.0ms (0.8%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Counts
35 → 93
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) a)))
(fabs.f64 (/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) a))
(/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) a)
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
(+.f64 a b)
a
b
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))))
(fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)))
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(fabs.f64 a)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (*.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 b a)
(/.f64 (+.f64 a b) (*.f64 a a))
(*.f64 a a)
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))))
(fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(*.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (+.f64 b a) a)
(+.f64 b a)
#s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (/ (* (+ a b) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #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 (+ (* (neg b) b) (* a a)))) (fabs a)) #s(hole binary64 (/ (sqrt (fabs (+ (* -1 (pow b 2)) (pow a 2)))) (fabs a))))
#s(approx (sqrt (fabs (+ (* (neg b) b) (* a a)))) #s(hole binary64 (sqrt (fabs (+ (* -1 (pow b 2)) (pow a 2))))))
#s(approx (fabs (+ (* (neg b) b) (* a a))) #s(hole binary64 (fabs (+ (* -1 (pow b 2)) (pow a 2)))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (fabs a) #s(hole binary64 (fabs 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 (/ (pow b 2) (pow a 2))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- b a)) (pow a 2))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ a b) (- b a)) (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (+ (* a (+ b (* -1 b))) (pow b 2)) (pow a 2))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) (pow a 2))))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ (+ a b) (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ (+ a b) a)))
#s(approx (- 1 (/ b a)) #s(hole binary64 (/ (- a b) a)))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 1))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (+ a b) #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 (+ (* (neg b) b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (+ (* -1 (/ b a)) (/ b a)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ 1 a)))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ (+ 1 (/ b a)) a)))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (/ (* (+ a b) (/ (- a b) a)) a)) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ b a)) 1) a))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (+ (/ 1 a) (/ b (pow a 2)))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#s(approx (+ a b) #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 (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) #s(hole binary64 (/ (sqrt (fabs (- (pow a 2) (pow b 2)))) (fabs a))))
#s(approx (sqrt (fabs (+ (* (neg b) b) (* a a)))) #s(hole binary64 (sqrt (fabs (- (pow a 2) (pow b 2))))))
#s(approx (fabs (+ (* (neg b) b) (* a a))) #s(hole binary64 (fabs (- (pow a 2) (pow b 2)))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (/ (* (+ a b) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (+ a b) #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 (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (* -1 (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@0
((sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) (fabs (/ (* (+ a b) (/ (- a b) a)) a)) (/ (* (+ a b) (/ (- a b) a)) a) (* (+ a b) (/ (- a b) a)) (+ a b) a b (/ (- a b) a) (- a b) (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (* (neg b) b) (neg b) (fabs a) (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) (fabs (* (- b a) (/ (+ a b) (* a a)))) (* (- b a) (/ (+ a b) (* a a))) (- b a) (/ (+ a b) (* a a)) (* a a) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) (/ (- a b) a) (- 1 (/ b a)) 1)
5.0ms
b
@inf
((sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) (fabs (/ (* (+ a b) (/ (- a b) a)) a)) (/ (* (+ a b) (/ (- a b) a)) a) (* (+ a b) (/ (- a b) a)) (+ a b) a b (/ (- a b) a) (- a b) (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (* (neg b) b) (neg b) (fabs a) (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) (fabs (* (- b a) (/ (+ a b) (* a a)))) (* (- b a) (/ (+ a b) (* a a))) (- b a) (/ (+ a b) (* a a)) (* a a) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) (/ (- a b) a) (- 1 (/ b a)) 1)
4.0ms
b
@-inf
((sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) (fabs (/ (* (+ a b) (/ (- a b) a)) a)) (/ (* (+ a b) (/ (- a b) a)) a) (* (+ a b) (/ (- a b) a)) (+ a b) a b (/ (- a b) a) (- a b) (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (* (neg b) b) (neg b) (fabs a) (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) (fabs (* (- b a) (/ (+ a b) (* a a)))) (* (- b a) (/ (+ a b) (* a a))) (- b a) (/ (+ a b) (* a a)) (* a a) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) (/ (- a b) a) (- 1 (/ b a)) 1)
4.0ms
a
@-inf
((sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) (fabs (/ (* (+ a b) (/ (- a b) a)) a)) (/ (* (+ a b) (/ (- a b) a)) a) (* (+ a b) (/ (- a b) a)) (+ a b) a b (/ (- a b) a) (- a b) (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (* (neg b) b) (neg b) (fabs a) (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) (fabs (* (- b a) (/ (+ a b) (* a a)))) (* (- b a) (/ (+ a b) (* a a))) (- b a) (/ (+ a b) (* a a)) (* a a) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) (/ (- a b) a) (- 1 (/ b a)) 1)
3.0ms
a
@inf
((sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) (fabs (/ (* (+ a b) (/ (- a b) a)) a)) (/ (* (+ a b) (/ (- a b) a)) a) (* (+ a b) (/ (- a b) a)) (+ a b) a b (/ (- a b) a) (- a b) (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (* (neg b) b) (neg b) (fabs a) (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (/ b a) -1 (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) (fabs (* (- b a) (/ (+ a b) (* a a)))) (* (- b a) (/ (+ a b) (* a a))) (- b a) (/ (+ a b) (* a a)) (* a a) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (* (/ (+ b a) a) (/ (- a b) a)) (/ (+ b a) a) (+ b a) (/ (- a b) a) (- 1 (/ b a)) 1)

rewrite258.0ms (7.2%)

Memory
-57.8MiB live, 193.7MiB allocated; 110ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03122067
03501791
119321723
082121707
Stop Event
iter-limit
node-limit
iter-limit
Counts
128 → 1 094
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) a)))
(fabs.f64 (/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) a))
(/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) a)
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
(+.f64 a b)
a
b
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))))
(fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)))
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(fabs.f64 a)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (*.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 b a)
(/.f64 (+.f64 a b) (*.f64 a a))
(*.f64 a a)
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))))
(fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(*.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (+.f64 b a) a)
(+.f64 b a)
#s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
#s(approx (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (/ (* (+ a b) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #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 (+ (* (neg b) b) (* a a)))) (fabs a)) #s(hole binary64 (/ (sqrt (fabs (+ (* -1 (pow b 2)) (pow a 2)))) (fabs a))))
#s(approx (sqrt (fabs (+ (* (neg b) b) (* a a)))) #s(hole binary64 (sqrt (fabs (+ (* -1 (pow b 2)) (pow a 2))))))
#s(approx (fabs (+ (* (neg b) b) (* a a))) #s(hole binary64 (fabs (+ (* -1 (pow b 2)) (pow a 2)))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (fabs a) #s(hole binary64 (fabs 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 (/ (pow b 2) (pow a 2))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- b a)) (pow a 2))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ a b) (- b a)) (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (+ (* a (+ b (* -1 b))) (pow b 2)) (pow a 2))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) (pow a 2))))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ (+ a b) (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ (+ a b) a)))
#s(approx (- 1 (/ b a)) #s(hole binary64 (/ (- a b) a)))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 1))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (+ a b) #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 (+ (* (neg b) b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (+ (* -1 (/ b a)) (/ b a)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ 1 a)))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ (+ 1 (/ b a)) a)))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (/ (* (+ a b) (/ (- a b) a)) a)) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ b a)) 1) a))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (+ (/ 1 a) (/ b (pow a 2)))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (* (+ a b) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#s(approx (+ a b) #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 (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) #s(hole binary64 (/ (sqrt (fabs (- (pow a 2) (pow b 2)))) (fabs a))))
#s(approx (sqrt (fabs (+ (* (neg b) b) (* a a)))) #s(hole binary64 (sqrt (fabs (- (pow a 2) (pow b 2))))))
#s(approx (fabs (+ (* (neg b) b) (* a a))) #s(hole binary64 (fabs (- (pow a 2) (pow b 2)))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (/ (* (+ a b) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (+ a b) #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 (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (* -1 (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Outputs
(pow.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)))) (sqrt.f64 (fabs.f64 a)))
(sqrt.f64 (*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a)))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))))))
(fabs.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a)))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (/.f64 (-.f64 a b) a) a)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))) (sqrt.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(pow.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)))) (neg.f64 (fabs.f64 a)))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (fabs.f64 a))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 a (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a)))))
(fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) (neg.f64 a)))
(fabs.f64 (neg.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))))
(fabs.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))))
(fabs.f64 (*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a)))
(*.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))
(pow.f64 (/.f64 a (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (/.f64 (-.f64 a b) a)) (*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) a))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (/.f64 (-.f64 a b) a)) (*.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))) a))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (neg.f64 a) (*.f64 a a))) (/.f64 (-.f64 a b) a)) (*.f64 (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a)))) a))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (neg.f64 b) (*.f64 b b))) (/.f64 (-.f64 a b) a)) (*.f64 (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))) a))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (-.f64 a b) a)) (*.f64 (-.f64 a b) a))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (-.f64 a b) a)) (*.f64 (-.f64 b a) a))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1 binary64)) (*.f64 a (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (*.f64 a (/.f64 a #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)))) (neg.f64 (neg.f64 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 #s(literal 1 binary64) (/.f64 a (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)))))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))
(*.f64 (/.f64 (-.f64 a b) a) (+.f64 b a))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (-.f64 b a)) (*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) (neg.f64 a)))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) (/.f64 a (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (-.f64 a b)) (*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) a))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (-.f64 b a)) (*.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))) (neg.f64 a)))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))) (/.f64 a (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (-.f64 a b)) (*.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))) a))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (neg.f64 a) (*.f64 a a))) (-.f64 b a)) (*.f64 (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a)))) (neg.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (neg.f64 a) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a)))) (/.f64 a (-.f64 a b))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (neg.f64 a) (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a)))) a))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (neg.f64 b) (*.f64 b b))) (-.f64 b a)) (*.f64 (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))) (neg.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (neg.f64 b) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))) (/.f64 a (-.f64 a b))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (neg.f64 b) (*.f64 b b))) (-.f64 a b)) (*.f64 (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))) a))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 a b) (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 a b)) (*.f64 (-.f64 a b) a))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) (/.f64 a (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (-.f64 a b)) (*.f64 (-.f64 b a) a))
(/.f64 (*.f64 (-.f64 b a) (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b))) (*.f64 (neg.f64 a) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a)))))
(/.f64 (*.f64 (-.f64 b a) (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a))) (*.f64 (neg.f64 a) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))))
(/.f64 (*.f64 (-.f64 b a) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (neg.f64 a) (*.f64 a a)))) (*.f64 (neg.f64 a) (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a))))))
(/.f64 (*.f64 (-.f64 b a) (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (neg.f64 b) (*.f64 b b)))) (*.f64 (neg.f64 a) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b))))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 (neg.f64 a) (-.f64 a b)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (neg.f64 a) (-.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a (-.f64 a b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a))) (*.f64 (/.f64 a (-.f64 a b)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (neg.f64 a) (*.f64 a a)))) (*.f64 (/.f64 a (-.f64 a b)) (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a))))))
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(-.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a)))
(-.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b)) (/.f64 (*.f64 (neg.f64 a) a) (-.f64 a b)))
(-.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b)) (/.f64 (neg.f64 (*.f64 a a)) (-.f64 a b)))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 b))
(+.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a)))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a)))))
(+.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))) (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))))
(+.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b)))
(+.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b)))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 a b) b))
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 a b)))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) a))
(+.f64 b (neg.f64 (neg.f64 a)))
(+.f64 b (*.f64 #s(literal 1 binary64) a))
(+.f64 b a)
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a (*.f64 #s(literal 1 binary64) b))
(+.f64 a b)
#s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 a)) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) b)) (neg.f64 a))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) (*.f64 b b)) (*.f64 (*.f64 a a) a)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) b b) a))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) b) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) (*.f64 b b)) (*.f64 (*.f64 a a) a))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) b b) a)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(neg.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) b b) a))) (/.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) b b) a))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 b a) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) a) (/.f64 b a))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 b) a)))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))) (/.f64 (/.f64 (*.f64 (neg.f64 b) (*.f64 b b)) (*.f64 (*.f64 a a) a)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))))
(+.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a))
#s(literal 1 binary64)
#s(approx (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (fabs (/ (* (+ a b) (/ (- a b) a)) a)) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal 0 binary64) b) a)) (*.f64 a a)))
#s(approx (/ (* (+ a b) (/ (- a 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 (* (+ a b) (/ (- a b) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
#s(approx (* (+ a b) (/ (- a b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal 0 binary64) b) a)) a))
#s(approx (* (+ a b) (/ (- a b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (fma.f64 #s(literal 0 binary64) b a) a)) a))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 b a))
#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 (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (sqrt (fabs (+ (* (neg b) b) (* a a)))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))))
#s(approx (fabs (+ (* (neg b) b) (* a a))) (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))))
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (+.f64 b a) (-.f64 a b)))
#s(approx (fabs a) (fabs.f64 a))
#s(approx (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (+ (* (/ b a) (/ b a)) -1) (/.f64 (*.f64 b b) (*.f64 a a)))
#s(approx (+ (* (/ b a) (/ b a)) -1) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (/.f64 (fma.f64 #s(literal 0 binary64) b (*.f64 (/.f64 b a) b)) a))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (/.f64 (fma.f64 (+.f64 (-.f64 b a) (neg.f64 b)) a (*.f64 b b)) (*.f64 a a)))
#s(approx (- b a) (-.f64 b a))
#s(approx (/ (+ a b) (* a a)) (/.f64 b (*.f64 a a)))
#s(approx (/ (+ a b) (* a a)) (/.f64 (+.f64 b a) (*.f64 a a)))
#s(approx (* a a) (*.f64 a a))
#s(approx (/ (+ b a) a) (/.f64 (+.f64 b a) a))
#s(approx (- 1 (/ b a)) (/.f64 (-.f64 a b) a))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) #s(literal 1 binary64))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)))
#s(approx (/ (* (+ a b) (/ (- a 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 (* (+ a b) (/ (- a b) a)) (fma.f64 #s(literal 0 binary64) b a))
#s(approx (* (+ a b) (/ (- 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 (+ a b) (+.f64 b a))
#s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
#s(approx (- a b) (-.f64 a b))
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (+.f64 b a) (-.f64 a b)))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ b a) (/ b a)) -1) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal -1 binary64)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) b (*.f64 (/.f64 b a) b)) a) #s(literal 1 binary64)))
#s(approx (- b a) (neg.f64 a))
#s(approx (- b a) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (+ a b) (* a a)) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (+ b a) a) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (fabs (/ (* (+ a b) (/ (- a b) a)) a)) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 b b) a)) a)) #s(literal 1 binary64)))
#s(approx (* (+ a b) (/ (- a b) a)) (*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)))))
#s(approx (* (+ a b) (/ (- a b) a)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) b (/.f64 (*.f64 (neg.f64 b) b) a)) a)) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (- a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (neg.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) b (/.f64 (*.f64 (neg.f64 b) b) a)) a)) #s(literal 1 binary64)))
#s(approx (- b a) (-.f64 b a))
#s(approx (/ (+ a b) (* a a)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
#s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (/.f64 (*.f64 b b) a)))
#s(approx (- a b) (-.f64 a b))
#s(approx (- b a) (-.f64 b a))
#s(approx (/ (+ a b) (* a a)) (/.f64 (+.f64 b a) (*.f64 a a)))
#s(approx (/ (* (+ a b) (/ (- a b) a)) a) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 b b)))
#s(approx (* (+ a b) (/ (- a b) a)) (*.f64 (-.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 b b)))
#s(approx (+ a b) (+.f64 b a))
#s(approx (/ (- a b) a) (*.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) a) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (sqrt (fabs (+ (* (neg b) b) (* a a)))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))))
#s(approx (fabs (+ (* (neg b) b) (* a a))) (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))))
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (*.f64 b b)))
#s(approx (+ (* (/ b a) (/ b 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 (- b a) (-.f64 b a))
#s(approx (/ (+ a b) (* a a)) (fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 b (*.f64 a a))))
#s(approx (/ (+ b a) a) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (fabs (/ (* (+ a b) (/ (- a b) a)) a)) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (- a b) a) (*.f64 (neg.f64 b) (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
#s(approx (- a b) (-.f64 a b))
#s(approx (/ (sqrt (fabs (+ (* (neg b) b) (* a a)))) (fabs a)) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (- b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))))

eval134.0ms (3.7%)

Memory
-20.1MiB live, 218.6MiB allocated; 24ms collecting garbage
Compiler

Compiled 10 782 to 4 675 computations (56.6% saved)

prune17.0ms (0.5%)

Memory
-12.4MiB live, 34.7MiB allocated; 2ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New9971998
Fresh000
Picked055
Done022
Total99781 005
Accuracy
100.0%
Counts
1 005 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.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))))
79.5%
(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 a b) (/.f64 (-.f64 a b) a)) a)))
100.0%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))))
78.4%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 a b) (*.f64 a a)))))
94.9%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
97.3%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 83 to 81 computations (2.4% saved)

series5.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Counts
9 → 32
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))))
(*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))
(-.f64 b a)
b
a
#s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- b a)) (pow a 2))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ a b) (- b a)) (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (+ (* a (+ b (* -1 b))) (pow b 2)) (pow a 2))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) (pow a 2))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ (+ a b) (pow a 2))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 -1))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (+ (* -1 (/ b a)) (/ b a)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ (+ 1 (/ b a)) a)))
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ b a)) 1) a))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (+ (/ 1 a) (/ b (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#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 (* -1 (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (* -1 (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
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) b a (/ (+ a b) (* a a)) (/ 1 a) 1)
1.0ms
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) b a (/ (+ a b) (* a a)) (/ 1 a) 1)
1.0ms
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) b a (/ (+ a b) (* a a)) (/ 1 a) 1)
1.0ms
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) b a (/ (+ a b) (* a a)) (/ 1 a) 1)
1.0ms
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) b a (/ (+ a b) (* a a)) (/ 1 a) 1)

rewrite128.0ms (3.6%)

Memory
35.2MiB live, 125.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128680
0134612
1943597
08303592
Stop Event
iter-limit
node-limit
iter-limit
Counts
41 → 113
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))))
(*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))
(-.f64 b a)
b
a
#s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- b a)) (pow a 2))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ a b) (- b a)) (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (+ (* a (+ b (* -1 b))) (pow b 2)) (pow a 2))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (/ (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) (pow a 2))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ (+ a b) (pow a 2))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 -1))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (+ (* -1 (/ b a)) (/ b a)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (/ (+ 1 (/ b a)) a)))
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ b a)) 1) a))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (/ (+ a b) (* a a)) #s(hole binary64 (+ (/ 1 a) (/ b (pow a 2)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#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 (* -1 (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) #s(hole binary64 (fabs (* -1 (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Outputs
(*.f64 (pow.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 a b))) (sqrt.f64 (fabs.f64 #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 (pow.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))) (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))))) (sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))))
(fabs.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))) (sqrt.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 (fabs.f64 #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))) (fabs.f64 (-.f64 a b)))
(*.f64 (fabs.f64 (-.f64 a b)) (fabs.f64 #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))) (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))) (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(fabs.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))))
(*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 (neg.f64 a) b)) (*.f64 b #s(literal 1 binary64)))) (*.f64 b #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 a) b) b) (*.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a))) (neg.f64 a))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 a)) b)) b)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) a) b)) b)
(*.f64 (/.f64 (+.f64 a b) (+.f64 #s(literal 1 binary64) (/.f64 a b))) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (-.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 a b))) (/.f64 (+.f64 a b) b))
(*.f64 (/.f64 (-.f64 b a) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 (+.f64 a b) a))
(*.f64 (/.f64 (+.f64 a b) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 (-.f64 b a) a))
(*.f64 (-.f64 a b) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(*.f64 (neg.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 #s(literal -1 binary64) (-.f64 a b))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64))) (*.f64 (*.f64 b (/.f64 (neg.f64 a) b)) (*.f64 b (/.f64 (neg.f64 a) b)))) (-.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 (neg.f64 a) b))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 (/.f64 (neg.f64 a) b) b) (*.f64 (/.f64 (neg.f64 a) b) b))) (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (neg.f64 a) b) b)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a))) (+.f64 a b))
(/.f64 (+.f64 (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 (neg.f64 a) b)) #s(literal 3 binary64))) (fma.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 b (/.f64 (neg.f64 a) b)) (*.f64 b (/.f64 (neg.f64 a) b))) (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 (neg.f64 a) b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 a) b) b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 a) b) b) (*.f64 (/.f64 (neg.f64 a) b) b)) (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (neg.f64 a) b) b)))))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) b))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 (neg.f64 a))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 #s(literal 1 binary64) a)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) b (*.f64 (neg.f64 a) (*.f64 a a)))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a))) (neg.f64 (fma.f64 b b (fma.f64 a a (*.f64 a b)))))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (neg.f64 a) (*.f64 a a))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a)) (fma.f64 b b (fma.f64 a a (*.f64 a b))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 a b))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (-.f64 (neg.f64 a) b))
(/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 a)))) (fma.f64 (*.f64 b b) b (*.f64 (neg.f64 a) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 a a (*.f64 a b))) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (*.f64 (-.f64 b a) (+.f64 a b))))
(neg.f64 (-.f64 a b))
(fma.f64 #s(literal -1 binary64) a b)
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 (neg.f64 a) b) b))
(fma.f64 a #s(literal -1 binary64) b)
(fma.f64 b #s(literal 1 binary64) (*.f64 b (/.f64 (neg.f64 a) b)))
(-.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (fma.f64 a a (*.f64 a b)))) (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 b b (fma.f64 a a (*.f64 a b)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 a b)) (/.f64 (*.f64 a a) (+.f64 a b)))
(-.f64 b (neg.f64 (neg.f64 a)))
(-.f64 b (*.f64 #s(literal 1 binary64) a))
(-.f64 b a)
(+.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 a))))) (/.f64 (*.f64 (neg.f64 a) (*.f64 a a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 a))))))
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 (neg.f64 a) b)))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (neg.f64 a) b) b))
(+.f64 (neg.f64 a) b)
(+.f64 b (neg.f64 a))
b
a
#s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(pow.f64 a #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) a)
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 a b)))) (fabs.f64 a)))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (/.f64 (*.f64 b b) (*.f64 a a)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) a (*.f64 b b)) (*.f64 a a)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (/.f64 (fma.f64 (-.f64 b (+.f64 a b)) a (*.f64 b b)) (*.f64 a a)))
#s(approx (- b a) b)
#s(approx (- b a) (-.f64 b a))
#s(approx a a)
#s(approx (/ (+ a b) (* a a)) (/.f64 b (*.f64 a a)))
#s(approx (/ (+ a b) (* a a)) (/.f64 (+.f64 a b) (*.f64 a a)))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (* (- b a) (/ (+ a b) (* a a))) #s(literal -1 binary64))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal -1 binary64)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) a (*.f64 b b)) (*.f64 a a)) #s(literal 1 binary64)))
#s(approx (- b a) (neg.f64 a))
#s(approx (- b a) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (+ a b) (* a a)) (/.f64 (+.f64 a b) (*.f64 a a)))
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 a b)))) (fabs.f64 a)))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (-.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a))) #s(literal 1 binary64)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) b (neg.f64 (/.f64 (*.f64 b b) a))) a)) #s(literal 1 binary64)))
#s(approx (- b a) (-.f64 b a))
#s(approx (/ (+ a b) (* a a)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
#s(approx (- b a) (-.f64 b a))
#s(approx (/ (+ a b) (* a a)) (/.f64 (+.f64 a b) (*.f64 a a)))
#s(approx (* (- b a) (/ (+ a b) (* a a))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (- b a) (-.f64 b a))
#s(approx (/ (+ a b) (* a a)) (*.f64 (/.f64 (+.f64 a b) (*.f64 b (*.f64 a a))) b))
#s(approx (sqrt (fabs (* (- b a) (/ (+ a b) (* a a))))) (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 a b)))) (fabs.f64 a)))
#s(approx (fabs (* (- b a) (/ (+ a b) (* a a)))) (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
#s(approx (- b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))))

eval17.0ms (0.5%)

Memory
-32.3MiB live, 20.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 036 to 523 computations (49.5% saved)

prune6.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New93295
Fresh000
Picked101
Done167
Total958103
Accuracy
100.0%
Counts
103 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
79.5%
(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 a b) (/.f64 (-.f64 a b) a)) a)))
100.0%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))))
78.4%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 a b) (*.f64 a a)))))
96.9%
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) (neg.f64 a)) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
8.3%
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) b) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
97.3%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 188 to 167 computations (11.2% saved)

regimes25.0ms (0.7%)

Memory
-10.2MiB live, 36.2MiB allocated; 2ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) b) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) (neg.f64 a)) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) 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) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) a)))
Calls

7 calls:

4.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
4.0ms
b
4.0ms
a
3.0ms
(*.f64 a a)
3.0ms
(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)

regimes22.0ms (0.6%)

Memory
-10.0MiB live, 36.9MiB allocated; 2ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) b) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) (neg.f64 a)) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) 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) a) #s(approx (/ (- a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Calls

7 calls:

4.0ms
(*.f64 b b)
3.0ms
b
3.0ms
a
3.0ms
(*.f64 a a)
3.0ms
(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)

regimes14.0ms (0.4%)

Memory
26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) b) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) (neg.f64 a)) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) 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))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
Calls

7 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 a a)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
99.1%2(*.f64 b b)
99.1%2(*.f64 a a)
99.1%2(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
99.1%2(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
99.1%2(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
99.1%2a
99.1%2b
Compiler

Compiled 30 to 31 computations (-3.3% saved)

regimes14.0ms (0.4%)

Memory
-21.7MiB live, 25.0MiB allocated; 2ms collecting garbage
Accuracy

Total -59.6b remaining (-3395.1%)

Threshold costs -59.6b (-3395.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) b) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (- b a) (neg.f64 a)) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(approx (/ (+ a b) (* a a)) (/.f64 #s(literal 1 binary64) a)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Calls

7 calls:

3.0ms
(*.f64 a a)
2.0ms
b
2.0ms
a
2.0ms
(*.f64 b b)
2.0ms
(sqrt.f64 (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)

bsearch13.0ms (0.4%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
3.368044244185141e-185
1.2157816464845906e-177
Samples
7.0ms144×0valid
Compiler

Compiled 187 to 193 computations (-3.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-fabs: 1.0ms (25.9% of total)
ival-sqrt: 1.0ms (25.9% of total)
ival-mult!: 1.0ms (25.9% of total)
ival-div!: 1.0ms (25.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations133.0ms (3.7%)

Memory
-0.1MiB live, 54.3MiB allocated; 10ms collecting garbage
Stop Event
fuel
Compiler

Compiled 32 to 30 computations (6.3% saved)

preprocess40.0ms (1.1%)

Memory
-2.0MiB live, 44.0MiB allocated; 3ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 233 to 218 computations (6.4% saved)

end0.0ms (0%)

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

Profiling

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