Eccentricity of an ellipse

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze12.0ms (0.5%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%37.5%62.5%0%0%0%0
0%0%37.5%62.5%0%0%0%1
0%0%18.7%62.5%0%18.7%0%2
0%0%9.4%62.5%0%28.1%0%3
0%0%9.4%62.5%0%28.1%0%4
0%0%7%62.5%0%30.4%0%5
20%1.2%4.7%62.5%0%31.6%0%6
25%1.2%3.5%62.5%0%32.8%0%7
40%1.8%2.6%62.5%0%33.1%0%8
51.9%2%1.9%62.5%0%33.5%0%9
64.7%2.4%1.3%62.5%0%33.7%0%10
72.9%2.6%1%62.5%0%33.9%0%11
80.2%2.7%0.7%62.5%0%34%0%12
Compiler

Compiled 25 to 16 computations (36% saved)

sample1.1s (45%)

Memory
-25.6MiB live, 1 513.2MiB allocated; 262ms collecting garbage
Samples
685.0ms8 256×0valid
54.0ms753×0invalid
Precisions
Click to see histograms. Total time spent on operations: 348.0ms
ival-mult!: 110.0ms (31.6% of total)
ival-sqrt: 89.0ms (25.6% of total)
ival-fabs: 74.0ms (21.3% of total)
ival-div!: 40.0ms (11.5% of total)
ival-sub!: 19.0ms (5.5% of total)
ival-<=: 9.0ms (2.6% of total)
ival-and: 4.0ms (1.2% of total)
adjust: 2.0ms (0.6% of total)
ival-assert: 1.0ms (0.3% of total)
Bogosity

explain97.0ms (4.1%)

Memory
18.9MiB live, 204.0MiB allocated; 17ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
650-0-(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
00-0-(*.f64 a a)
00-0-a
00-0-b
00-0-(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
00-0-(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
00-0-(-.f64 (*.f64 a a) (*.f64 b b))
00-0-(*.f64 b b)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))u/u650
(*.f64 b b)underflow175
(-.f64 (*.f64 a a) (*.f64 b b))underflow65
(*.f64 a a)underflow65
(*.f64 a a)underflow65
Confusion
Predicted +Predicted -
+650
-0191
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6500
-00191
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0191
165
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult!: 5.0ms (34% of total)
ival-fabs: 3.0ms (20.4% of total)
ival-sqrt: 3.0ms (20.4% of total)
ival-div!: 2.0ms (13.6% of total)
ival-sub!: 1.0ms (6.8% of total)
adjust: 0.0ms (0% of total)

preprocess28.0ms (1.2%)

Memory
-42.9MiB live, 18.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02680
19968
262168
3583668
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Symmetry

(abs a)

(abs b)

Compiler

Compiled 26 to 16 computations (38.5% saved)

series8.0ms (0.3%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Counts
8 → 17
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)))
#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)
2.0ms
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)

rewrite86.0ms (3.6%)

Memory
16.9MiB live, 153.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054332
064323
1224292
01833291
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
25 → 233
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)))
#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 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
(pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (*.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (fabs.f64 a))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a))
(sqrt.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
(fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 b a) (neg.f64 a)) (/.f64 (-.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 b a) (fabs.f64 a)) (/.f64 (-.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))
(*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #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 (/.f64 b a) (/.f64 b a)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 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 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a)))
(/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))))
(/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a)))
(/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 a)) (/.f64 (*.f64 b b) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (neg.f64 a)) (/.f64 #s(literal -1 binary64) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 (*.f64 b b) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (fabs.f64 a)) (/.f64 #s(literal -1 binary64) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))
(+.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))
(*.f64 (+.f64 (neg.f64 a) (neg.f64 b)) (-.f64 (neg.f64 a) (neg.f64 b)))
(*.f64 (+.f64 (neg.f64 a) (fabs.f64 b)) (-.f64 (neg.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))
(*.f64 (+.f64 (fabs.f64 a) (neg.f64 b)) (-.f64 (fabs.f64 a) (neg.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) (fabs.f64 b)) (-.f64 (fabs.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) b) (-.f64 (fabs.f64 a) b))
(*.f64 (+.f64 a (neg.f64 b)) (-.f64 a (neg.f64 b)))
(*.f64 (+.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b)))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 b)) (fabs.f64 b) (*.f64 a a))
(fma.f64 (*.f64 #s(literal -1 binary64) b) b (*.f64 a a))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 #s(literal 1 binary64) a) a (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) a) a (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 a a))
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal -1 binary64)) (*.f64 a a))
(fma.f64 (fabs.f64 b) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (neg.f64 b) b))
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a))
(fma.f64 (*.f64 b b) #s(literal -1 binary64) (*.f64 a a))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b))
(fma.f64 b (*.f64 b #s(literal -1 binary64)) (*.f64 a a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 a (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 a (*.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 a a (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))))
(-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 (neg.f64 b)) b))
(-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(*.f64 (*.f64 #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) (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) a) (*.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 #s(literal 1 binary64) a) a)
(*.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.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 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.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 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 a (*.f64 a #s(literal 1 binary64)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.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))
(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 (pow.f64 a #s(literal 4 binary64)))
(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 (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 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.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 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 1 binary64))
(*.f64 b (*.f64 b #s(literal 1 binary64)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (fma.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 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b 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)) (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#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)) (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 a a) (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#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 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (- (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (*.f64 b b)))

eval39.0ms (1.7%)

Memory
-1.0MiB live, 91.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 4 756 to 1 202 computations (74.7% saved)

prune20.0ms (0.8%)

Memory
-5.0MiB live, 30.8MiB allocated; 12ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2717278
Fresh000
Picked101
Done000
Total2727279
Accuracy
100.0%
Counts
279 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
100.0%
(*.f64 (pow.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
3.9%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
74.6%
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
98.1%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 212 to 136 computations (35.8% saved)

series62.0ms (2.6%)

Memory
13.5MiB live, 119.5MiB allocated; 41ms collecting garbage
Counts
33 → 89
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
(fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))
(+.f64 b a)
b
a
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a)))
(/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(*.f64 a a)
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(*.f64 b b)
(*.f64 (neg.f64 a) a)
(neg.f64 a)
#s(literal -1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(fabs.f64 a)
Outputs
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#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) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (* b b) (* (neg a) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (neg a) a) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (+ (* -1 (pow a 2)) (pow b 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (fabs a) #s(hole binary64 (fabs 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 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 a))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (- a b) a) #s(hole binary64 1))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (- a b) #s(hole binary64 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))
#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)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 1))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (- (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (- (pow b 2) (pow a 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (- (pow b 2) (pow a 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* (neg b) b) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (- (* a a) (* b b)) (* 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))))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Calls

6 calls:

TimeVariablePointExpression
26.0ms
b
@inf
((sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))
18.0ms
a
@inf
((sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))
4.0ms
a
@-inf
((sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))
4.0ms
a
@0
((sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))
4.0ms
b
@0
((sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* a a) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))

rewrite74.0ms (3.1%)

Memory
-23.5MiB live, 64.4MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02801883
03191769
012551760
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
122 → 207
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
(fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))
(+.f64 b a)
b
a
(/.f64 (-.f64 a b) a)
(-.f64 a b)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a)))
(/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(*.f64 a a)
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(*.f64 b b)
(*.f64 (neg.f64 a) a)
(neg.f64 a)
#s(literal -1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(fabs.f64 a)
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#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) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (* b b) (* (neg a) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (neg a) a) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (+ (* -1 (pow a 2)) (pow b 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (fabs a) #s(hole binary64 (fabs 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 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 a))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (- a b) a) #s(hole binary64 1))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (- a b) #s(hole binary64 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))
#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)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 1))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (- (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (- (pow b 2) (pow a 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (- (pow b 2) (pow a 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* (neg b) b) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (- (* a a) (* b b)) (* 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))))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Outputs
(pow.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
(/.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))) (fabs.f64 a))
(/.f64 (fabs.f64 (-.f64 (*.f64 b b) (*.f64 a a))) (fabs.f64 (*.f64 a a)))
(sqrt.f64 (*.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a)) (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
(fabs.f64 (neg.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
(fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a)))
(*.f64 (fma.f64 #s(literal -1 binary64) b a) (/.f64 (-.f64 a (neg.f64 b)) (*.f64 a a)))
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))
(*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))
(/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b)) a)
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (*.f64 a a) (*.f64 a a)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 a a) (*.f64 a a)))
(-.f64 (/.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (*.f64 b b) (*.f64 a a)))
(+.f64 (/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) (/.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) a)
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (-.f64 a b))
(+.f64 a b)
(+.f64 b a)
b
a
(/.f64 (neg.f64 (-.f64 a b)) (neg.f64 a))
(/.f64 (-.f64 a b) a)
(-.f64 (/.f64 a a) (/.f64 b a))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (fma.f64 b b (*.f64 a b))))
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (+.f64 a b))
(-.f64 a b)
(pow.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (*.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))))
(fabs.f64 (neg.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)
(pow.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(/.f64 (fabs.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))) (fabs.f64 (*.f64 a a)))
(sqrt.f64 (*.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))))
(fabs.f64 (neg.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 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) a) a)
(/.f64 (neg.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))) (*.f64 (neg.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)
(*.f64 (*.f64 b b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 b b))
(*.f64 b (neg.f64 b))
(neg.f64 (*.f64 b b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)))))
(sqrt.f64 (*.f64 (-.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))))
(fabs.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) #s(literal -1 binary64)))))
(-.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) #s(literal -1 binary64))
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))
(*.f64 b (/.f64 b (*.f64 (neg.f64 a) a)))
(/.f64 (/.f64 (*.f64 b b) (neg.f64 a)) a)
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 a a))
(*.f64 (neg.f64 a) a)
(*.f64 a (neg.f64 a))
(neg.f64 (*.f64 a a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
#s(literal -1 binary64)
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))) (neg.f64 (fabs.f64 a)))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
(pow.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(sqrt.f64 (*.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 a) a) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 a) a))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 (*.f64 a a) #s(literal -1 binary64) (*.f64 b b))
(fma.f64 #s(literal -1 binary64) (*.f64 a a) (*.f64 b b))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(fma.f64 b b (*.f64 (neg.f64 a) a))
(-.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(+.f64 (*.f64 (neg.f64 a) a) (*.f64 b b))
(sqrt.f64 (*.f64 a a))
(fabs.f64 (neg.f64 a))
(fabs.f64 a)
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal 0 binary64) b) a)) (*.f64 a a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (fma.f64 #s(literal 0 binary64) b a) a)) (*.f64 a a)))
#s(approx (* (+ b a) (/ (- a b) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
#s(approx (* (+ b a) (/ (- a b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal 0 binary64) b) a)) a))
#s(approx (* (+ b a) (/ (- a b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (fma.f64 #s(literal 0 binary64) b a) a)) a))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx a a)
#s(approx (/ (- a b) a) (/.f64 (neg.f64 b) a))
#s(approx (/ (- a b) a) (/.f64 (fma.f64 #s(literal -1 binary64) b a) a))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a)))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 a b)))
#s(approx (* a a) (*.f64 a a))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a)))
#s(approx (/ (* b b) (* (neg a) a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)))
#s(approx (* (neg a) a) (*.f64 (neg.f64 a) a))
#s(approx (neg a) (neg.f64 a))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (*.f64 (pow.f64 (fabs.f64 a) #s(literal -1 binary64)) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))
#s(approx (+ (* (neg a) a) (* b b)) (fma.f64 (neg.f64 a) a (*.f64 b b)))
#s(approx (fabs a) (fabs.f64 a))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (+.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (/.f64 b a))))
#s(approx (* (+ b a) (/ (- a b) a)) a)
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (+.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (/.f64 b a))) a))
#s(approx (+ b a) a)
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (- a b) a) #s(literal 1 binary64))
#s(approx (/ (- a b) a) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (- a b) a)
#s(approx (- a b) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) a))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(literal 1 binary64))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (*.f64 (sqrt.f64 (fabs.f64 (-.f64 (*.f64 b b) (*.f64 a a)))) (pow.f64 (fabs.f64 a) #s(literal -1 binary64))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) (sqrt.f64 (fabs.f64 (-.f64 (*.f64 b b) (*.f64 a a)))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) (fabs.f64 (-.f64 (*.f64 b b) (*.f64 a a))))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 (neg.f64 a) a))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a a))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a a)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) #s(literal -1 binary64) (/.f64 (*.f64 b b) a)) a) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) b)) a) #s(literal 1 binary64))))
#s(approx (* (+ b a) (/ (- 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 (+ b a) (*.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 (/ (- (* a a) (* b b)) (* a a)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (* (+ b a) (/ (- a b) a)) (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) a))
#s(approx b b)
#s(approx (- a b) (fma.f64 #s(literal -1 binary64) b a))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 a b)))
#s(approx (* (neg b) b) (*.f64 (neg.f64 b) b))
#s(approx (neg b) (neg.f64 b))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (-.f64 (/.f64 a (*.f64 b b)) (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (- a b) a) (*.f64 (-.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
#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 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (- a b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64))))

eval23.0ms (1%)

Memory
42.3MiB live, 42.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 319 to 953 computations (77.9% saved)

prune8.0ms (0.4%)

Memory
-36.6MiB live, 8.9MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2383241
Fresh112
Picked235
Done000
Total2417248
Accuracy
100.0%
Counts
248 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
4.7%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) (fabs.f64 a))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
100.0%
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
98.1%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
74.6%
(sqrt.f64 #s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
Compiler

Compiled 122 to 79 computations (35.2% saved)

series41.0ms (1.7%)

Memory
5.4MiB live, 59.7MiB allocated; 13ms collecting garbage
Counts
30 → 59
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
#s(literal 1 binary64)
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
(*.f64 a a)
a
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
(fabs.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)))
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))
(/.f64 b (neg.f64 a))
(neg.f64 a)
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))))
(fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))
(fabs.f64 a)
Outputs
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- 1 (/ (* b b) (* a a)))) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (/ (- (pow a 2) (pow b 2)) (pow a 2))))
#s(approx (/ (* b b) (* a a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 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) (/ b a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) #s(hole binary64 (sqrt (fabs (/ (- (/ (pow b 4) (pow a 4)) 1) (- (* -1 (/ (pow b 2) (pow a 2))) 1))))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) #s(hole binary64 (fabs (/ (- (/ (pow b 4) (pow a 4)) 1) (- (* -1 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (/ (+ (* -1 (pow a 4)) (pow b 4)) (pow a 4))))
#s(approx (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (* (/ b (neg a)) (/ b a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ b (neg a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (* -1 (pow b 2))) (pow a 2))))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (+ (* -1 (pow a 2)) (pow b 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (fabs a) #s(hole binary64 (fabs a)))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* (/ b a) (/ 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 (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 1))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 -1))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (- (/ (pow b 4) (pow a 4)) 1)))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (- (* -1 (/ (pow b 2) (pow a 2))) 1)))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (- (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (- (pow b 2) (pow a 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (- (pow b 2) (pow a 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (- (/ (pow b 4) (pow a 4)) 1) (+ 1 (/ (pow b 2) (pow a 2)))))))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) #s(hole binary64 (fabs (* -1 (/ (- (/ (pow b 4) (pow a 4)) 1) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow a 4)) (/ 1 (pow b 4))))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
b
@inf
((sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (/ (* b b) (* a a)) (* b b) b (* a a) a (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) (* (/ b (neg a)) (/ b a)) (/ b (neg a)) (neg a) (+ (* (/ b (neg a)) (/ b a)) -1) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))
5.0ms
a
@0
((sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (/ (* b b) (* a a)) (* b b) b (* a a) a (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) (* (/ b (neg a)) (/ b a)) (/ b (neg a)) (neg a) (+ (* (/ b (neg a)) (/ b a)) -1) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))
4.0ms
a
@inf
((sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (/ (* b b) (* a a)) (* b b) b (* a a) a (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) (* (/ b (neg a)) (/ b a)) (/ b (neg a)) (neg a) (+ (* (/ b (neg a)) (/ b a)) -1) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))
4.0ms
b
@-inf
((sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (/ (* b b) (* a a)) (* b b) b (* a a) a (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) (* (/ b (neg a)) (/ b a)) (/ b (neg a)) (neg a) (+ (* (/ b (neg a)) (/ b a)) -1) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))
4.0ms
b
@0
((sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs (- 1 (/ (* b b) (* a a)))) (- 1 (/ (* b b) (* a a))) 1 (/ (* b b) (* a a)) (* b b) b (* a a) a (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) (* (/ b (neg a)) (/ b a)) (/ b (neg a)) (neg a) (+ (* (/ b (neg a)) (/ b a)) -1) -1 (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (fabs a))

rewrite182.0ms (7.7%)

Memory
-14.7MiB live, 178.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01871693
02261228
18211045
060011045
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
89 → 984
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
#s(literal 1 binary64)
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
(*.f64 a a)
a
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
(fabs.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)))
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))
(/.f64 b (neg.f64 a))
(neg.f64 a)
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))))
(fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))
(fabs.f64 a)
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- 1 (/ (* b b) (* a a)))) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (/ (- (pow a 2) (pow b 2)) (pow a 2))))
#s(approx (/ (* b b) (* a a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 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) (/ b a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) #s(hole binary64 (sqrt (fabs (/ (- (/ (pow b 4) (pow a 4)) 1) (- (* -1 (/ (pow b 2) (pow a 2))) 1))))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) #s(hole binary64 (fabs (/ (- (/ (pow b 4) (pow a 4)) 1) (- (* -1 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (/ (+ (* -1 (pow a 4)) (pow b 4)) (pow a 4))))
#s(approx (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (* (/ b (neg a)) (/ b a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ b (neg a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (* -1 (pow b 2))) (pow a 2))))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (+ (* -1 (pow a 2)) (pow b 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (fabs a) #s(hole binary64 (fabs a)))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* (/ b a) (/ 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 (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 1))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 -1))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (- (/ (pow b 4) (pow a 4)) 1)))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (- (* -1 (/ (pow b 2) (pow a 2))) 1)))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (- (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (- (pow b 2) (pow a 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (- (pow b 2) (pow a 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* b b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (- (/ (pow b 4) (pow a 4)) 1) (+ 1 (/ (pow b 2) (pow a 2)))))))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) #s(hole binary64 (fabs (* -1 (/ (- (/ (pow b 4) (pow a 4)) 1) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow a 4)) (/ 1 (pow b 4))))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
Outputs
(*.f64 (pow.f64 #s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64))) (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))))) (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64)))) (fabs.f64 (+.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(neg.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64))) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) a)) (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a))) (-.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 b) a)) (-.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 b) a)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a))) (-.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) a)
(/.f64 (/.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (neg.f64 a)) a)
(/.f64 (/.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) a) (neg.f64 a))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))))
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(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))) (sqrt.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))))
(pow.f64 (pow.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))))
(fabs.f64 (neg.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))))
(fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))
a
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (* (/ b a) (/ b a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (fabs a) a)
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- (* (/ b a) (/ b a)) 1) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (- (* (/ b a) (/ b a)) 1) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ b a) (/ b a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))
#s(approx (* (/ b (neg a)) (/ b a)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (/ b (neg a)) (/.f64 b (neg.f64 a)))
#s(approx (neg a) (neg.f64 a))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))) a))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) (sqrt.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))
#s(approx (+ (* (neg a) a) (* b b)) (fma.f64 b b (*.f64 (neg.f64 a) a)))
#s(approx (fabs a) a)
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(literal 1 binary64))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(literal -1 binary64))
#s(approx (- (* (/ b a) (/ b a)) 1) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(literal 1 binary64))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))) a))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) (sqrt.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 (neg.f64 a) a))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) a) a))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (- (* (/ b a) (/ b a)) 1) (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (*.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (*.f64 (-.f64 (pow.f64 a #s(literal -4 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64))) (*.f64 b b)))

eval143.0ms (6.1%)

Memory
16.5MiB live, 107.4MiB allocated; 10ms collecting garbage
Compiler

Compiled 25 496 to 4 358 computations (82.9% saved)

prune13.0ms (0.6%)

Memory
28.7MiB live, 28.7MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New9243927
Fresh000
Picked314
Done033
Total9277934
Accuracy
100.0%
Counts
934 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
4.7%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) a)
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
99.0%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
98.1%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
74.6%
(sqrt.f64 #s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
Compiler

Compiled 122 to 82 computations (32.8% saved)

series43.0ms (1.8%)

Memory
-17.0MiB live, 30.4MiB allocated; 2ms collecting garbage
Counts
20 → 44
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
(fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(/.f64 b a)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(/.f64 (/.f64 b a) a)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))))
(fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))
(*.f64 b b)
Outputs
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) #s(hole binary64 (sqrt (fabs (/ (- (/ (pow b 4) (pow a 4)) 1) (- (* -1 (/ (pow b 2) (pow a 2))) 1))))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) #s(hole binary64 (fabs (/ (- (/ (pow b 4) (pow a 4)) 1) (- (* -1 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (/ (+ (* -1 (pow a 4)) (pow b 4)) (pow a 4))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (* -1 (pow b 2))) (pow a 2))))
#s(approx (/ b (neg a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (+ (* (/ (/ b a) a) b) -1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (+ (* (/ (/ b a) a) b) -1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (+ (* (/ (/ b a) a) b) -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 a) a) (* b b)))) a) #s(hole binary64 (* (/ 1 a) (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (+ (* -1 (pow a 2)) (pow b 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 1))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 -1))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (- (/ (pow b 4) (pow a 4)) 1)))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (- (* -1 (/ (pow b 2) (pow a 2))) 1)))
#s(approx (+ (* (/ (/ b a) a) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ (/ b a) a) b) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) a) #s(hole binary64 (* (/ 1 a) (sqrt (fabs (- (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (- (pow b 2) (pow a 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (- (pow b 2) (pow a 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx b #s(hole binary64 b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (- (/ (pow b 4) (pow a 4)) 1) (+ 1 (/ (pow b 2) (pow a 2)))))))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) #s(hole binary64 (fabs (* -1 (/ (- (/ (pow b 4) (pow a 4)) 1) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow a 4)) (/ 1 (pow b 4))))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (/ (/ b a) a) b) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
Calls

6 calls:

TimeVariablePointExpression
26.0ms
a
@0
((sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) -1 (+ (* (/ b (neg a)) (/ b a)) -1) (/ b (neg a)) b (neg a) a (/ b a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ (/ b a) a) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) a) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* b b))
4.0ms
b
@inf
((sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) -1 (+ (* (/ b (neg a)) (/ b a)) -1) (/ b (neg a)) b (neg a) a (/ b a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ (/ b a) a) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) a) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* b b))
4.0ms
b
@-inf
((sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) -1 (+ (* (/ b (neg a)) (/ b a)) -1) (/ b (neg a)) b (neg a) a (/ b a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ (/ b a) a) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) a) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* b b))
3.0ms
a
@-inf
((sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) -1 (+ (* (/ b (neg a)) (/ b a)) -1) (/ b (neg a)) b (neg a) a (/ b a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ (/ b a) a) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) a) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* b b))
3.0ms
a
@inf
((sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) -1 (+ (* (/ b (neg a)) (/ b a)) -1) (/ b (neg a)) b (neg a) a (/ b a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ (/ b a) a) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) a) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* b b))

rewrite154.0ms (6.5%)

Memory
15.0MiB live, 111.2MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01481294
01701192
1660822
05404822
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
64 → 338
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
(fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(/.f64 b a)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(/.f64 (/.f64 b a) a)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))))
(fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))
#s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b))
(*.f64 b b)
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) #s(hole binary64 (sqrt (fabs (/ (- (/ (pow b 4) (pow a 4)) 1) (- (* -1 (/ (pow b 2) (pow a 2))) 1))))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) #s(hole binary64 (fabs (/ (- (/ (pow b 4) (pow a 4)) 1) (- (* -1 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (/ (+ (* -1 (pow a 4)) (pow b 4)) (pow a 4))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (* -1 (pow b 2))) (pow a 2))))
#s(approx (/ b (neg a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (+ (* (/ (/ b a) a) b) -1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (+ (* (/ (/ b a) a) b) -1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (+ (* (/ (/ b a) a) b) -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 a) a) (* b b)))) a) #s(hole binary64 (* (/ 1 a) (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (+ (* -1 (pow a 2)) (pow b 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (+ (* -1 (pow a 2)) (pow b 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 1))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 -1))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (- (/ (pow b 4) (pow a 4)) 1)))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (- (* -1 (/ (pow b 2) (pow a 2))) 1)))
#s(approx (+ (* (/ (/ b a) a) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ (/ b a) a) b) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) a) #s(hole binary64 (* (/ 1 a) (sqrt (fabs (- (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (+ (* (neg a) a) (* b b)))) #s(hole binary64 (sqrt (fabs (- (pow b 2) (pow a 2))))))
#s(approx (fabs (+ (* (neg a) a) (* b b))) #s(hole binary64 (fabs (- (pow b 2) (pow a 2)))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx b #s(hole binary64 b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (sqrt (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (- (/ (pow b 4) (pow a 4)) 1) (+ 1 (/ (pow b 2) (pow a 2)))))))))
#s(approx (fabs (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1))) #s(hole binary64 (fabs (* -1 (/ (- (/ (pow b 4) (pow a 4)) 1) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow a 4)) (/ 1 (pow b 4))))))
#s(approx (+ (* (/ b (neg a)) (/ b a)) -1) #s(hole binary64 (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (/ (/ b a) a) b) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (+ (* (neg a) a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
Outputs
(*.f64 (pow.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 b b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (fma.f64 a a (*.f64 b b)) a))
(*.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 b b))
(*.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (neg.f64 b) b))
(*.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 b) b) (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))
(*.f64 (*.f64 b b) (*.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 b b) (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))))
(*.f64 (*.f64 b b) (neg.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (neg.f64 a)) a)
(/.f64 (/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) a) a)
(/.f64 (*.f64 (*.f64 (neg.f64 b) b) (-.f64 (pow.f64 a #s(literal -4 binary64)) (pow.f64 b #s(literal -4 binary64)))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 b) b) (+.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 a #s(literal -6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal -4 binary64)) (pow.f64 (*.f64 a b) #s(literal -2 binary64))) (pow.f64 a #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 b) b) (fma.f64 a a (*.f64 b b))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 a a (*.f64 b b)) a) (neg.f64 a))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (*.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) #s(literal 2 binary64))) (*.f64 (neg.f64 a) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) b) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.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)))
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(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 1 binary64)))
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#s(approx (/ (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) (+ (* (/ b (neg a)) (/ b a)) -1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
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#s(approx (/ b (neg a)) (/.f64 b (neg.f64 a)))
#s(approx (neg a) (neg.f64 a))
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eval49.0ms (2.1%)

Memory
-16.6MiB live, 75.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 9 093 to 1 457 computations (84% saved)

prune41.0ms (1.7%)

Memory
-19.7MiB live, 30.4MiB allocated; 39ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3511352
Fresh000
Picked033
Done044
Total3518359
Accuracy
100.0%
Counts
359 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
4.7%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) a)
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
75.4%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
99.0%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
98.1%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
74.6%
(sqrt.f64 #s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
Compiler

Compiled 391 to 185 computations (52.7% saved)

regimes30.0ms (1.3%)

Memory
5.1MiB live, 54.8MiB allocated; 7ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) a)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(sqrt.f64 #s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 b a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
Calls

7 calls:

8.0ms
(*.f64 a a)
4.0ms
b
4.0ms
a
3.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
100.0%1(*.f64 b b)
100.0%1(*.f64 a a)
100.0%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
100.0%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
100.0%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
100.0%1a
100.0%1b
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes24.0ms (1%)

Memory
4.2MiB live, 51.0MiB allocated; 2ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) a)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(sqrt.f64 #s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* (* (/ b (neg a)) (/ b a)) (* (/ b (neg a)) (/ b a))) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal -1 binary64)))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
Calls

7 calls:

5.0ms
(*.f64 a a)
4.0ms
b
4.0ms
a
3.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
100.0%1(*.f64 b b)
100.0%1(*.f64 a a)
100.0%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
100.0%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
100.0%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
100.0%1a
100.0%1b
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes22.0ms (0.9%)

Memory
-3.4MiB live, 43.5MiB allocated; 3ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) a)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(sqrt.f64 #s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
Calls

7 calls:

5.0ms
(*.f64 a a)
3.0ms
a
3.0ms
b
2.0ms
(*.f64 b b)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
100.0%1(*.f64 b b)
100.0%1(*.f64 a a)
100.0%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
100.0%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
100.0%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
100.0%1a
100.0%1b
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes19.0ms (0.8%)

Memory
-8.0MiB live, 40.5MiB allocated; 5ms collecting garbage
Accuracy

Total -60.3b remaining (-4924.4%)

Threshold costs -60.3b (-4924.4%)

Counts
8 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) a)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg a) a) (* b b)) (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (*.f64 a a))))
(sqrt.f64 #s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Calls

7 calls:

5.0ms
(*.f64 b b)
3.0ms
b
3.0ms
a
2.0ms
(*.f64 a a)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
98.1%1(*.f64 b b)
98.1%1(*.f64 a a)
98.1%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
98.1%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
98.1%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
98.1%1a
98.1%1b
Compiler

Compiled 44 to 31 computations (29.5% saved)

derivations57.0ms (2.4%)

Memory
8.7MiB live, 56.0MiB allocated; 2ms collecting garbage
Stop Event
fuel
Compiler

Compiled 69 to 32 computations (53.6% saved)

preprocess28.0ms (1.2%)

Memory
9.4MiB live, 56.3MiB allocated; 3ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 440 to 244 computations (44.5% saved)

end0.0ms (0%)

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

Profiling

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