Eccentricity of an ellipse

Time bar (total: 2.1s)

start0.0ms (0%)

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

analyze12.0ms (0.6%)

Memory
31.3MiB live, 31.3MiB 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)

sample924.0ms (43%)

Memory
19.8MiB live, 1 328.7MiB allocated; 273ms collecting garbage
Samples
562.0ms8 256×0valid
54.0ms807×0invalid
Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-mult!: 99.0ms (33.3% of total)
ival-sqrt: 58.0ms (19.5% of total)
ival-div!: 54.0ms (18.1% of total)
ival-fabs: 53.0ms (17.8% of total)
ival-sub!: 20.0ms (6.7% of total)
ival-<=: 6.0ms (2% of total)
ival-and: 4.0ms (1.3% of total)
adjust: 2.0ms (0.7% of total)
ival-assert: 1.0ms (0.3% of total)
Bogosity

explain87.0ms (4.1%)

Memory
0.8MiB live, 148.5MiB allocated; 10ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
500-0-(/.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/u500
(*.f64 b b)underflow179
(-.f64 (*.f64 a a) (*.f64 b b))underflow50
(*.f64 a a)underflow50
(*.f64 a a)underflow50
Confusion
Predicted +Predicted -
+500
-0206
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5000
-00206
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0206
150
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms512×0valid
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 (33.9% 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)

preprocess29.0ms (1.4%)

Memory
-26.5MiB live, 19.7MiB 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
80.5%
(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 (0.4%)

Memory
16.6MiB live, 16.6MiB 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)
1.0ms
a
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms
a
@0
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms
a
@-inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms
b
@-inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)

rewrite95.0ms (4.4%)

Memory
-15.4MiB live, 89.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054332
062323
1222292
01831291
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 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (*.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (fabs.f64 a))
(/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(*.f64 (/.f64 (+.f64 b a) (neg.f64 a)) (/.f64 (-.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 b a) (fabs.f64 a)) (/.f64 (-.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(/.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 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (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)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 b b) a) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) b))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) #s(literal 2 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (neg.f64 b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))) (*.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 b (/.f64 b (*.f64 a a)))))
(neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(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 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a 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 b (/.f64 b (*.f64 a a))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) (-.f64 (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #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 (fma.f64 b b (*.f64 a a)) (*.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (neg.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (neg.f64 b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (-.f64 a b) (+.f64 b a))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) (-.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (neg.f64 b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 a a) a) a (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (neg.f64 b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))))
(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 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 (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 (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 (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 #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 (*.f64 (*.f64 (*.f64 a a) a) a) (fma.f64 b b (*.f64 a a))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 b b (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (-.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (-.f64 (*.f64 (neg.f64 b) b) (*.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 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))))))
(+.f64 (*.f64 (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 (*.f64 (*.f64 (*.f64 a a) a) a))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
(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)))
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))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(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)))
b
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 b a)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 b a)))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) b) b))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) b))

eval32.0ms (1.5%)

Memory
19.1MiB live, 65.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 4 995 to 1 201 computations (76% saved)

prune7.0ms (0.3%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2635268
Fresh000
Picked101
Done000
Total2645269
Accuracy
100.0%
Counts
269 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.3%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
81.1%
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
78.7%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
98.7%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 162 to 108 computations (33.3% saved)

series44.0ms (2.1%)

Memory
-30.8MiB live, 66.0MiB allocated; 8ms collecting garbage
Counts
34 → 111
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 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))
(-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 b (*.f64 a a))
(*.f64 a a)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
(fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a))))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))
(/.f64 (-.f64 a b) (*.f64 a a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)))
(/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 b b) b) b)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
Outputs
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (sqrt (fabs (- (* b (/ b (* a a))) 1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (- (* b (/ b (* a a))) 1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (* b (/ b (* a a))) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ b (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#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 (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ a (* -1 b)) (pow a 2))))
#s(approx (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))))) #s(hole binary64 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a)))))) #s(hole binary64 (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* -1 (/ (pow b 4) (pow a 4)))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (/ (- (pow a 4) (pow b 4)) (pow a 4))))
#s(approx (/ (* (* (* b b) b) b) (* (* (* a a) a) a)) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (* (* (* a a) a) a) #s(hole binary64 (pow a 4)))
#s(approx (* (* a a) a) #s(hole binary64 (pow a 3)))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (/ (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 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 (- (* b (/ b (* a a))) 1) #s(hole binary64 -1))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (* (+ b a) (/ (- a b) (* a 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 (/ (- a b) (* a a)) #s(hole binary64 (/ 1 a)))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ 1 (* -1 (/ b a))) a)))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 4) (pow a 4))))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 1))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (+ 1 (/ (pow b 2) (pow a 2)))))
#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 (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 (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ (- (/ b a) 1) a))))
#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 (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (+ (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (* (* (* b b) b) b) #s(hole binary64 (pow b 4)))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#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 (- (* b (/ b (* a a))) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (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)))))))
#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 (/ (- a b) (* a a)) #s(hole binary64 (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
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 (- (* b (/ b (* a a))) 1))) (fabs (- (* b (/ b (* a a))) 1)) (- (* b (/ b (* a a))) 1) (* b (/ b (* a a))) (/ b (* a a)) (* a a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)) (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a)))))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (/ (* (* (* b b) b) b) (* (* (* a a) a) a)) (* (* (* b b) b) b) (* (* b b) b) (* b b) (* (* (* a a) a) a) (* (* a a) a) (+ 1 (* b (/ b (* a a)))))
8.0ms
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 (- (* b (/ b (* a a))) 1))) (fabs (- (* b (/ b (* a a))) 1)) (- (* b (/ b (* a a))) 1) (* b (/ b (* a a))) (/ b (* a a)) (* a a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)) (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a)))))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (/ (* (* (* b b) b) b) (* (* (* a a) a) a)) (* (* (* b b) b) b) (* (* b b) b) (* b b) (* (* (* a a) a) a) (* (* a a) a) (+ 1 (* b (/ b (* a a)))))
6.0ms
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 (- (* b (/ b (* a a))) 1))) (fabs (- (* b (/ b (* a a))) 1)) (- (* b (/ b (* a a))) 1) (* b (/ b (* a a))) (/ b (* a a)) (* a a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)) (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a)))))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (/ (* (* (* b b) b) b) (* (* (* a a) a) a)) (* (* (* b b) b) b) (* (* b b) b) (* b b) (* (* (* a a) a) a) (* (* a a) a) (+ 1 (* b (/ b (* a a)))))
6.0ms
a
@inf
((sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (- (* b (/ b (* a a))) 1))) (fabs (- (* b (/ b (* a a))) 1)) (- (* b (/ b (* a a))) 1) (* b (/ b (* a a))) (/ b (* a a)) (* a a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)) (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a)))))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (/ (* (* (* b b) b) b) (* (* (* a a) a) a)) (* (* (* b b) b) b) (* (* b b) b) (* b b) (* (* (* a a) a) a) (* (* a a) a) (+ 1 (* b (/ b (* a a)))))
5.0ms
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 (- (* b (/ b (* a a))) 1))) (fabs (- (* b (/ b (* a a))) 1)) (- (* b (/ b (* a a))) 1) (* b (/ b (* a a))) (/ b (* a a)) (* a a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (/ (- a b) (* a a)) (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a)))))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (/ (* (* (* b b) b) b) (* (* (* a a) a) a)) (* (* (* b b) b) b) (* (* b b) b) (* b b) (* (* (* a a) a) a) (* (* a a) a) (+ 1 (* b (/ b (* a a)))))

rewrite173.0ms (8.1%)

Memory
23.9MiB live, 258.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03322684
03822283
115101841
086821829
Stop Event
iter-limit
node-limit
iter-limit
Counts
145 → 975
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 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))
(-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 b (*.f64 a a))
(*.f64 a a)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
(fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a))))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))
(/.f64 (-.f64 a b) (*.f64 a a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)))
(/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 b b) b) b)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
#s(approx (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (/ (* (+ b a) (/ (- a b) a)) a)) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (sqrt (fabs (- (* b (/ b (* a a))) 1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (- (* b (/ b (* a a))) 1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (* b (/ b (* a a))) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ b (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#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 (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ a (* -1 b)) (pow a 2))))
#s(approx (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))))) #s(hole binary64 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a)))))) #s(hole binary64 (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* -1 (/ (pow b 4) (pow a 4)))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (/ (- (pow a 4) (pow b 4)) (pow a 4))))
#s(approx (/ (* (* (* b b) b) b) (* (* (* a a) a) a)) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (* (* (* a a) a) a) #s(hole binary64 (pow a 4)))
#s(approx (* (* a a) a) #s(hole binary64 (pow a 3)))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (/ (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 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 (- (* b (/ b (* a a))) 1) #s(hole binary64 -1))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (* (+ b a) (/ (- a b) (* a 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 (/ (- a b) (* a a)) #s(hole binary64 (/ 1 a)))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ 1 (* -1 (/ b a))) a)))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 4) (pow a 4))))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 1))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (+ 1 (/ (pow b 2) (pow a 2)))))
#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 (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 (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ (- (/ b a) 1) a))))
#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 (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (+ (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (* (* (* b b) b) b) #s(hole binary64 (pow b 4)))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#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 (- (* b (/ b (* a a))) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (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)))))))
#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 (/ (- a b) (* a a)) #s(hole binary64 (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))))
Outputs
(*.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (+.f64 a b))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a a)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fabs.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a a))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(pow.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b)))) (fabs.f64 a))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b)))) (sqrt.f64 (fabs.f64 a)))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 b b) #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 a b)) (fabs.f64 (/.f64 (+.f64 a b) (*.f64 a a))))
(*.f64 (fabs.f64 (-.f64 b a)) (fabs.f64 (/.f64 (+.f64 a b) (*.f64 a a))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))))
(*.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a a))) (fabs.f64 (+.f64 a b)))
(*.f64 (fabs.f64 (+.f64 a b)) (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a a))))
(*.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(pow.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 b b) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b)))) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b)))) (neg.f64 (fabs.f64 a)))
(/.f64 (fabs.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 a b)))) (*.f64 a a))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 a b)))) (*.f64 a a))
(/.f64 (fabs.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 b (*.f64 a a)) b)) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 b b) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 b a) (+.f64 a b))) (*.f64 a a))
(/.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 a b))) (fabs.f64 a))
(/.f64 (fabs.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 b b) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))))
(fabs.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))))
(fabs.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
(*.f64 (/.f64 (-.f64 a b) (neg.f64 a)) (/.f64 (+.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 a b) (neg.f64 a)) (/.f64 (-.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 (-.f64 a b) (fabs.f64 a)) (/.f64 (+.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (+.f64 a b) (fabs.f64 a)) (/.f64 (-.f64 a b) (fabs.f64 a)))
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 a b))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 a b) a))
(*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
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b
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(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))))
(-.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 (/.f64 b (*.f64 a a)) b)))) (/.f64 (pow.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 (/.f64 b (*.f64 a a)) b)))))
(+.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 b)) (/.f64 b (*.f64 a a))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) a) (*.f64 b b)) (*.f64 a a)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) b a) a) (*.f64 b b)) (*.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 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) a) (*.f64 b b)) a))
#s(approx (* (+ b a) (/ (- a b) a)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) b a) a) (*.f64 b b)) a))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx a a)
#s(approx (/ (- a b) a) (/.f64 (neg.f64 b) a))
#s(approx (/ (- a b) a) (/.f64 (-.f64 a b) a))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (- (* b (/ b (* a a))) 1) (*.f64 (/.f64 b (*.f64 a a)) b))
#s(approx (- (* b (/ b (* a a))) 1) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
#s(approx (* b (/ b (* a a))) (*.f64 (/.f64 b (*.f64 a a)) b))
#s(approx (/ b (* a a)) (/.f64 b (*.f64 a a)))
#s(approx (* a a) (*.f64 a a))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) a) (*.f64 b b)) (*.f64 a a)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) b a) a) (*.f64 b b)) (*.f64 a a)))
#s(approx (/ (- a b) (* a a)) (/.f64 (neg.f64 b) (*.f64 a a)))
#s(approx (/ (- a b) (* a a)) (/.f64 (-.f64 a b) (*.f64 a a)))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (*.f64 (*.f64 (neg.f64 b) (*.f64 b b)) (/.f64 b (*.f64 (*.f64 (*.f64 a a) a) a))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))))
#s(approx (/ (* (* (* b b) b) b) (* (* (* a a) a) a)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)))
#s(approx (* (* (* a a) a) a) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (* (* a a) a) (*.f64 (*.f64 a a) a))
#s(approx (+ 1 (* b (/ b (* a a)))) (*.f64 (/.f64 b (*.f64 a a)) b))
#s(approx (+ 1 (* b (/ b (* a a)))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(literal 1 binary64))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 (-.f64 (-.f64 (/.f64 b a) (*.f64 (/.f64 b (*.f64 a a)) b)) (/.f64 b a)) #s(literal -1 binary64)))
#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 (-.f64 (-.f64 (/.f64 b a) (*.f64 (/.f64 b (*.f64 a a)) b)) (/.f64 b a)) #s(literal -1 binary64)) 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) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
#s(approx (- a b) a)
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(literal 1 binary64))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
#s(approx (- (* b (/ b (* a a))) 1) #s(literal -1 binary64))
#s(approx (- (* b (/ b (* a a))) 1) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(literal 1 binary64))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 (-.f64 (-.f64 (/.f64 b a) (*.f64 (/.f64 b (*.f64 a a)) b)) (/.f64 b a)) #s(literal -1 binary64)))
#s(approx (/ (- a b) (* a a)) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (- a b) (* a a)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(literal 1 binary64))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(literal 1 binary64))
#s(approx (+ 1 (* b (/ b (* a a)))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) b (/.f64 (*.f64 b b) a)) a)) #s(literal -1 binary64)))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 b b) a)) a)) #s(literal 1 binary64))))
#s(approx (+ b a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (- a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) b (/.f64 (*.f64 b b) a)) a)) #s(literal -1 binary64)))
#s(approx (/ (- a b) (* a a)) (neg.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
#s(approx (* (+ b a) (/ (- a b) a)) (-.f64 a (/.f64 (*.f64 b b) a)))
#s(approx b b)
#s(approx (- a b) (-.f64 a b))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
#s(approx (/ (- a b) (* a a)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (* (* (* b b) b) b) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (* (* b b) b) (*.f64 (*.f64 b b) b))
#s(approx (* b b) (*.f64 b b))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 b b)))
#s(approx (* (+ b a) (/ (- a b) a)) (*.f64 (-.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 b b)))
#s(approx (+ b a) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) b))
#s(approx (/ (- a b) a) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 b b)))
#s(approx (- (* b (/ b (* a a))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 b b)))
#s(approx (/ (- a b) (* a a)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) b))
#s(approx (* (+ b a) (/ (- a b) (* a a))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 b b)))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) a))) (*.f64 (*.f64 (*.f64 b b) b) b)))
#s(approx (+ 1 (* b (/ b (* a a)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (+ b a) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) (neg.f64 b)))
#s(approx (/ (- a b) a) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (neg.f64 b)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 b)))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
#s(approx (/ (- a b) (* a a)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (neg.f64 b)))

eval101.0ms (4.7%)

Memory
-2.4MiB live, 186.8MiB allocated; 16ms collecting garbage
Compiler

Compiled 21 244 to 4 179 computations (80.3% saved)

prune14.0ms (0.7%)

Memory
-7.5MiB live, 39.0MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New8293832
Fresh000
Picked325
Done000
Total8325837
Accuracy
100.0%
Counts
837 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.1%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
80.8%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
78.7%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
98.7%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 79 to 54 computations (31.6% saved)

series18.0ms (0.9%)

Memory
-11.5MiB live, 33.8MiB allocated; 5ms collecting garbage
Counts
19 → 37
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 b (/.f64 b (*.f64 a a)))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
Outputs
#s(approx (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))))) #s(hole binary64 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a)))))) #s(hole binary64 (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* -1 (/ (pow b 4) (pow a 4)))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (/ (- (pow a 4) (pow b 4)) (pow a 4))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (/ (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 (/ b (* a a)) #s(hole binary64 (/ b (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) #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 (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 4) (pow a 4))))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 1))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (+ 1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (+ (* (/ b (* a a)) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b (* a a)) b) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (+ (* (/ b (* a a)) b) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
Calls

6 calls:

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

rewrite189.0ms (8.8%)

Memory
22.9MiB live, 175.8MiB allocated; 106ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01211023
0142881
1568641
04257641
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
56 → 520
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 b (/.f64 b (*.f64 a a)))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
#s(approx (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))))) #s(hole binary64 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a)))))) #s(hole binary64 (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* -1 (/ (pow b 4) (pow a 4)))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (/ (- (pow a 4) (pow b 4)) (pow a 4))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (/ (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 (/ b (* a a)) #s(hole binary64 (/ b (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) #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 (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 4) (pow a 4))))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 1))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (+ 1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (+ (* (/ b (* a a)) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b (* a a)) b) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))))
#s(approx (+ 1 (* b (/ b (* a a)))) #s(hole binary64 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (+ (* (/ b (* a a)) b) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
Outputs
(*.f64 (pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(/.f64 (fabs.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (neg.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (neg.f64 b)) (neg.f64 b))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fabs.f64 b)) (fabs.f64 b))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b) b)
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 b b))
(*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 b (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
(/.f64 (/.f64 (neg.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)) (neg.f64 a))
(/.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (/.f64 (fma.f64 a a (*.f64 b b)) a) a)
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 a #s(literal -6 binary64))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 a #s(literal -6 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 (/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (*.f64 a a)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 a a))
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#s(approx b b)
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ 1 (* b (/ b (* a a))))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) b) b))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 b b) b)) b))
#s(approx (+ 1 (* b (/ b (* a a)))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
#s(approx (+ (* (/ b (* a a)) b) -1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b) b))
#s(approx (+ (* (/ b (* a a)) b) -1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b) b))

eval83.0ms (3.9%)

Memory
2.8MiB live, 101.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 12 487 to 2 091 computations (83.3% saved)

prune23.0ms (1.1%)

Memory
-28.3MiB live, 19.0MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4491450
Fresh000
Picked123
Done022
Total4505455
Accuracy
100.0%
Counts
455 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.1%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
80.8%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
78.7%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
98.7%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 78 to 53 computations (32.1% saved)

series10.0ms (0.5%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Counts
10 → 21
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))
(/.f64 b (*.f64 a a))
b
(*.f64 a a)
a
Outputs
#s(approx (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)))) #s(hole binary64 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1))) #s(hole binary64 (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* -1 (/ (pow b 4) (pow a 4)))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (/ (- (pow a 4) (pow b 4)) (pow a 4))))
#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 (/ (+ (pow a 2) (pow b 2)) (pow a 2))))
#s(approx (/ b (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 4) (pow a 4))))))
#s(approx (+ (* (/ b (* a a)) b) 1) #s(hole binary64 1))
#s(approx (+ (* (/ b (* a a)) b) 1) #s(hole binary64 (+ 1 (/ (pow b 2) (pow a 2)))))
#s(approx b #s(hole binary64 b))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))))
#s(approx (+ (* (/ b (* a a)) b) 1) #s(hole binary64 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@inf
((sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) 1 (+ (* (/ b (* a a)) b) 1) (/ b (* a a)) b (* a a) a)
2.0ms
b
@-inf
((sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) 1 (+ (* (/ b (* a a)) b) 1) (/ b (* a a)) b (* a a) a)
2.0ms
a
@0
((sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) 1 (+ (* (/ b (* a a)) b) 1) (/ b (* a a)) b (* a a) a)
1.0ms
a
@inf
((sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) 1 (+ (* (/ b (* a a)) b) 1) (/ b (* a a)) b (* a a) a)
1.0ms
a
@-inf
((sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)))) (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1))) (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) 1 (+ (* (/ b (* a a)) b) 1) (/ b (* a a)) b (* a a) a)

rewrite128.0ms (6%)

Memory
-7.1MiB live, 86.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080656
089514
1414414
03350414
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
31 → 165
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))
(/.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)))) #s(hole binary64 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1))) #s(hole binary64 (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* -1 (/ (pow b 4) (pow a 4)))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (/ (- (pow a 4) (pow b 4)) (pow a 4))))
#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 (/ (+ (pow a 2) (pow b 2)) (pow a 2))))
#s(approx (/ b (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 4) (pow a 4))))))
#s(approx (+ (* (/ b (* a a)) b) 1) #s(hole binary64 1))
#s(approx (+ (* (/ b (* a a)) b) 1) #s(hole binary64 (+ 1 (/ (pow b 2) (pow a 2)))))
#s(approx b #s(hole binary64 b))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(hole binary64 (* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))))
#s(approx (+ (* (/ b (* a a)) b) 1) #s(hole binary64 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
Outputs
(*.f64 (pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(/.f64 (fabs.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (neg.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b b) b) #s(literal -1 binary64))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (neg.f64 b)) (neg.f64 b))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fabs.f64 b)) (fabs.f64 b))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b) b)
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 b b))
(*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 b (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (/.f64 (fma.f64 a a (*.f64 b b)) a) a)
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 a #s(literal -6 binary64))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) a) a))
(/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 a #s(literal -6 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) a) a))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 a a))
(/.f64 (-.f64 (*.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 (neg.f64 a) a) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 a) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) a) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) b))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) a)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a a)))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (/.f64 b (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b b) b) #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 a a)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (*.f64 a a)))
(neg.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (neg.f64 a) a)))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a a))) b #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (neg.f64 b)) (neg.f64 b) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fabs.f64 b)) (fabs.f64 b) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b) b #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (/.f64 (neg.f64 b) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (neg.f64 a)) (/.f64 (fabs.f64 b) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (fabs.f64 a)) (/.f64 (fabs.f64 b) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) a) (/.f64 (fabs.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (fabs.f64 a)) (/.f64 b (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))
(fma.f64 b (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 b (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 b b)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (/.f64 b (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 b (fabs.f64 a)) (fabs.f64 a))
(/.f64 (neg.f64 (/.f64 b a)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 b)) (*.f64 a a))
(/.f64 (/.f64 b a) a)
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 (neg.f64 b) (*.f64 a a)))
(neg.f64 (/.f64 b (*.f64 (neg.f64 a) a)))
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 (*.f64 a a) #s(literal 1 binary64))
(*.f64 a (*.f64 a #s(literal 1 binary64)))
(*.f64 a a)
(*.f64 #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 (*.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 a a) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)))
(neg.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
(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)))
a
#s(approx (sqrt (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))))
#s(approx (fabs (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (*.f64 (neg.f64 (*.f64 (*.f64 b b) b)) (/.f64 b (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (+ (* (/ b (* a a)) b) 1) (/.f64 (*.f64 b b) (*.f64 a a)))
#s(approx (+ (* (/ b (* a a)) b) 1) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
#s(approx (/ b (* a a)) (/.f64 b (*.f64 a a)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) #s(literal 1 binary64))
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (+ (* (/ b (* a a)) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ b (* a a)) b) 1) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (/ (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (+ (* (/ b (* a a)) b) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) b) b))
#s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 b b) b)) b))
#s(approx (+ (* (/ b (* a a)) b) 1) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))

eval20.0ms (0.9%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 692 to 851 computations (85% saved)

prune44.0ms (2%)

Memory
-36.3MiB live, 15.2MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1520152
Fresh000
Picked011
Done044
Total1525157
Accuracy
100.0%
Counts
157 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.1%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
80.8%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
78.7%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
98.7%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 253 to 118 computations (53.4% saved)

regimes18.0ms (0.9%)

Memory
38.4MiB live, 38.4MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 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 (-.f64 a b) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (* (* (* b b) b) b) (* (* (* a a) a) a))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Calls

7 calls:

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

Compiled 44 to 31 computations (29.5% saved)

regimes13.0ms (0.6%)

Memory
-25.1MiB live, 22.4MiB allocated; 3ms collecting garbage
Accuracy

Total -12.0b remaining (-1473.6%)

Threshold costs -12b (-1473.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Calls

7 calls:

7.0ms
b
1.0ms
a
1.0ms
(*.f64 a a)
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
1.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
Results
AccuracySegmentsBranch
98.7%1(*.f64 b b)
98.7%1(*.f64 a a)
98.7%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
98.7%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
98.7%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
98.7%1a
98.7%1b
Compiler

Compiled 44 to 31 computations (29.5% saved)

derivations53.0ms (2.5%)

Memory
-4.5MiB live, 41.6MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 25 to 15 computations (40% saved)

preprocess20.0ms (0.9%)

Memory
4.2MiB live, 50.3MiB allocated; 4ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 176 to 114 computations (35.2% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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