Eccentricity of an ellipse

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze13.0ms (0.7%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%37.5%62.5%0%0%0%0
0%0%37.5%62.5%0%0%0%1
0%0%18.7%62.5%0%18.7%0%2
0%0%9.4%62.5%0%28.1%0%3
0%0%9.4%62.5%0%28.1%0%4
0%0%7%62.5%0%30.4%0%5
20%1.2%4.7%62.5%0%31.6%0%6
25%1.2%3.5%62.5%0%32.8%0%7
40%1.8%2.6%62.5%0%33.1%0%8
51.9%2%1.9%62.5%0%33.5%0%9
64.7%2.4%1.3%62.5%0%33.7%0%10
72.9%2.6%1%62.5%0%33.9%0%11
80.2%2.7%0.7%62.5%0%34%0%12
Compiler

Compiled 25 to 16 computations (36% saved)

sample1.1s (56.2%)

Memory
8.1MiB live, 2 521.2MiB allocated; 285ms collecting garbage
Samples
680.0ms8 256×0valid
64.0ms806×0invalid
Precisions
Click to see histograms. Total time spent on operations: 458.0ms
ival-mult: 147.0ms (32.1% of total)
ival-fabs: 120.0ms (26.2% of total)
ival-sqrt: 67.0ms (14.6% of total)
ival-div: 61.0ms (13.3% of total)
ival-sub: 45.0ms (9.8% of total)
ival-<=: 7.0ms (1.5% of total)
ival-and: 4.0ms (0.9% of total)
adjust: 3.0ms (0.7% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain110.0ms (5.9%)

Memory
9.4MiB live, 347.7MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
560-1(2.2022038807127295e-158 4.5445902143566e-162)(/.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/u550
(*.f64 b b)underflow193
(-.f64 (*.f64 a a) (*.f64 b b))underflow55
(*.f64 a a)underflow55
(*.f64 a a)underflow55
Confusion
Predicted +Predicted -
+551
-0200
Precision
1.0
Recall
0.9821428571428571
Confusion?
Predicted +Predicted MaybePredicted -
+5501
-00200
Precision?
1.0
Recall?
0.9821428571428571
Freqs
test
numberfreq
0201
155
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
44.0ms512×0valid
Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 8.0ms (30.1% of total)
ival-div: 7.0ms (26.4% of total)
ival-sub: 5.0ms (18.8% of total)
ival-sqrt: 4.0ms (15.1% of total)
ival-fabs: 3.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess127.0ms (6.7%)

Memory
22.7MiB live, 304.9MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02680
19968
262168
3583668
0813
01413
13711
220411
3213811
0852810
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (*.f64 (fabs.f64 (-.f64 (/.f64 (fabs.f64 b) a) #s(literal 1 binary64))) (fabs.f64 (/.f64 (+.f64 (fabs.f64 b) a) a))))
Symmetry

(abs a)

(abs b)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.4%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series11.0ms (0.6%)

Memory
-19.4MiB live, 27.2MiB allocated; 3ms 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
4.0ms
b
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
2.0ms
a
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms
a
@0
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms
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)

rewrite85.0ms (4.5%)

Memory
27.7MiB live, 126.7MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054332
064323
1224292
01833291
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 233
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
Outputs
(*.f64 (pow.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))) (sqrt.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
(pow.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (*.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (fabs.f64 a))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a))
(sqrt.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))))
(fabs.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log.f64 a) #s(literal 2 binary64)))))
(fabs.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)))
(fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) 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 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))
(/.f64 (/.f64 (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b)) (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b)) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) 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 (*.f64 #s(literal -1 binary64) (*.f64 b b)) a) a)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a a) b) b)) (pow.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.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 (*.f64 #s(literal -1 binary64) (*.f64 b b)) a) a (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (pow.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(/.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))) (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(/.f64 (*.f64 (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (fabs.f64 a) a) (*.f64 (fabs.f64 a) a) (*.f64 (*.f64 b b) (fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a)))) (*.f64 a a)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3/2 binary64)) (pow.f64 (*.f64 a a) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 #s(literal 1 binary64) (*.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 (neg.f64 a) b) (-.f64 (neg.f64 a) b)) (*.f64 a a))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b 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 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64) #s(literal 1 binary64))
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(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
b
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (pow.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))) #s(literal 1/4 binary64)))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))
#s(approx (- (* a a) (* b b)) (*.f64 #s(literal -1 binary64) (*.f64 b b)))
#s(approx (- (* a a) (* b b)) (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b)))
#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 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 a a) (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
#s(approx (- (* a a) (* b b)) (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b)))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal -1 binary64)) (pow.f64 (*.f64 a a) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (- (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (neg.f64 a) b) #s(literal -1 binary64)) (*.f64 b b)))

eval40.0ms (2.1%)

Memory
8.1MiB live, 100.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 5 321 to 1 207 computations (77.3% saved)

prune122.0ms (6.5%)

Memory
-26.0MiB live, 363.4MiB allocated; 17ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2771278
Fresh000
Picked011
Done000
Total2772279
Accuracy
100.0%
Counts
279 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))))
78.4%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

series13.0ms (0.7%)

Memory
-3.6MiB live, 44.6MiB allocated; 2ms collecting garbage
Counts
10 → 14
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (* (/ (neg b) a) (/ (neg b) a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
Calls

6 calls:

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

rewrite64.0ms (3.4%)

Memory
6.5MiB live, 197.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052315
062266
1211214
01583214
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
24 → 118
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (* (/ (neg b) a) (/ (neg b) a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
Outputs
(*.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (*.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))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) (sqrt.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)))
(pow.f64 (*.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))) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (fabs.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (fabs.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (*.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))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))
(/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (neg.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) a)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) a) a (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (pow.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64)))) (*.f64 a a)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 (*.f64 b b) a) a))) (*.f64 a a)))
(/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) (*.f64 a a))
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)))
(neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) (*.f64 (neg.f64 a) a)))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 b a))) (fabs.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 b a)) (*.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)))
(*.f64 (neg.f64 (fabs.f64 (/.f64 b a))) (neg.f64 (fabs.f64 (/.f64 b a))))
(*.f64 (fabs.f64 (fabs.f64 (/.f64 b a))) (fabs.f64 (fabs.f64 (/.f64 b a))))
(*.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (/.f64 b a)) (fabs.f64 (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))
(*.f64 (*.f64 b b) (pow.f64 (*.f64 a a) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) a))
(*.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 a a)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)))
(*.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 b (/.f64 b (*.f64 a a)))
(pow.f64 (fabs.f64 (/.f64 b a)) #s(literal 2 binary64))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) b) (neg.f64 a))
(/.f64 (*.f64 b (*.f64 (/.f64 b a) #s(literal -1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (/.f64 b a) b)) (neg.f64 a))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (/.f64 b a) b) a)
(/.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 b b) (*.f64 a a))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)))
(fabs.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(/.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 #s(literal -1 binary64) b) a)
(/.f64 b (neg.f64 a))
(neg.f64 (/.f64 b a))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
b
a
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) (pow.f64 (*.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))) #s(literal 1/4 binary64)))
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))
#s(approx (* (/ (neg b) a) (/ (neg b) a)) (*.f64 (/.f64 b a) (/.f64 b a)))
#s(approx (/ (neg b) a) (*.f64 (/.f64 b a) #s(literal -1 binary64)))
#s(approx a a)
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))
#s(approx (neg b) (*.f64 #s(literal -1 binary64) b))
#s(approx b b)
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) (pow.f64 (*.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))) #s(literal 1/4 binary64)))
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (*.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal -1 binary64)) (pow.f64 (*.f64 a a) #s(literal -1 binary64))) (*.f64 b b)))

eval20.0ms (1.1%)

Memory
-11.1MiB live, 83.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 697 to 544 computations (79.8% saved)

prune77.0ms (4.1%)

Memory
20.6MiB live, 166.7MiB allocated; 10ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done011
Total1312133
Accuracy
100.0%
Counts
133 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))))
78.4%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 54 to 34 computations (37% saved)

regimes13.0ms (0.7%)

Memory
-19.3MiB live, 28.1MiB allocated; 1ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))))
Calls

7 calls:

6.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
1.0ms
a
1.0ms
b
1.0ms
(*.f64 a a)
1.0ms
(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)

regimes7.0ms (0.4%)

Memory
35.1MiB live, 35.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Calls

7 calls:

1.0ms
b
1.0ms
a
1.0ms
(*.f64 a a)
1.0ms
(*.f64 b b)
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
78.4%1(*.f64 b b)
78.4%1(*.f64 a a)
78.4%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
78.4%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
78.4%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
78.4%1a
78.4%1b
Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify81.0ms (4.3%)

Memory
-28.7MiB live, 65.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01627
13425
27325
314425
429625
571025
6366825
7767325
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) b) a)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) b) a))) #s(literal -1 binary64) #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 #s(literal -1 binary64) (*.f64 b b)) (*.f64 #s(literal -1 binary64) (*.f64 a a))) (*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 a)) a))))

derivations11.0ms (0.6%)

Memory
-3.4MiB live, 44.0MiB allocated; 1ms collecting garbage
Stop Event
done
Compiler

Compiled 40 to 22 computations (45% saved)

preprocess32.0ms (1.7%)

Memory
0.1MiB live, 146.1MiB allocated; 7ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 346 to 192 computations (44.5% saved)

end0.0ms (0%)

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

Profiling

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