Eccentricity of an ellipse

Time bar (total: 3.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.3%)

Memory
16.2MiB live, 16.2MiB allocated
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)

sample1.2s (31.2%)

Memory
4.6MiB live, 1 172.6MiB allocated
Samples
731.0ms8 256×0valid
88.0ms834×0invalid
Precisions
Click to see histograms. Total time spent on operations: 508.0ms
ival-mult: 155.0ms (30.5% of total)
ival-sqrt: 81.0ms (15.9% of total)
ival-<=: 80.0ms (15.8% of total)
ival-div: 65.0ms (12.8% of total)
ival-fabs: 46.0ms (9.1% of total)
ival-sub: 44.0ms (8.7% of total)
ival-and: 20.0ms (3.9% of total)
exact: 13.0ms (2.6% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain98.0ms (2.6%)

Memory
30.8MiB live, 115.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
540-0-(/.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/u540
(*.f64 b b)underflow187
(-.f64 (*.f64 a a) (*.f64 b b))underflow54
(*.f64 a a)underflow54
(*.f64 a a)underflow54
Confusion
Predicted +Predicted -
+540
-0202
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5400
-00202
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0202
154
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 170 to 36 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.4% of total)
ival-div: 3.0ms (15.6% of total)
ival-fabs: 3.0ms (15.6% of total)
ival-sqrt: 3.0ms (15.6% of total)
ival-sub: 2.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess156.0ms (4.1%)

Memory
1.9MiB live, 156.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02267
110657
263557
3388057
0813
01413
14111
222911
3169011
0893810
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 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
Symmetry

(abs b)

(abs a)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.9%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize28.0ms (0.7%)

Memory
-15.3MiB live, 23.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
accuracy0.00390625
(-.f64 (*.f64 a a) (*.f64 b b))
accuracy0.00390625
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
accuracy13.082179806982358
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Samples
21.0ms256×0valid
Compiler

Compiled 104 to 18 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (31.8% of total)
ival-div: 2.0ms (21.2% of total)
ival-sqrt: 2.0ms (21.2% of total)
ival-sub: 1.0ms (10.6% of total)
ival-fabs: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
4 → 13
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
Outputs
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+ (* -1 (pow b 2)) (pow a 2))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
Calls

6 calls:

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

simplify128.0ms (3.4%)

Memory
-3.3MiB live, 74.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025102
16492
222192
3136892
4726392
0833690
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+ (* -1 (pow b 2)) (pow a 2))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
Outputs
(* -1 (/ (pow b 2) (pow a 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b)
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))

rewrite120.0ms (3.2%)

Memory
6.5MiB live, 96.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0843
01442
16936
273026
0949825
Stop Event
iter limit
node limit
iter limit
Counts
4 → 673
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
Outputs
(*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 a b)) (+.f64 b a))
(*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (*.f64 (*.f64 (hypot.f64 b a) (hypot.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)) (-.f64 a b))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (-.f64 a b) (pow.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b a) a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 a)) (/.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (neg.f64 a)))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 a)) (/.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) a) (/.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (neg.f64 a)))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) a) (/.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (neg.f64 a)) (/.f64 (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 a)))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (neg.f64 a)) (/.f64 (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 a)))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (-.f64 a b) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (*.f64 a a)))
(*.f64 (/.f64 (+.f64 b a) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
(*.f64 (/.f64 (+.f64 b a) #s(literal -1 binary64)) (*.f64 (-.f64 a b) (pow.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (neg.f64 a)) (/.f64 (fabs.f64 (-.f64 b a)) (neg.f64 a)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) a) (/.f64 (fabs.f64 (-.f64 b a)) a))
(*.f64 (neg.f64 (/.f64 (hypot.f64 b a) a)) (neg.f64 (/.f64 (hypot.f64 b a) a)))
(*.f64 (neg.f64 (/.f64 (hypot.f64 b a) a)) (/.f64 (hypot.f64 b a) a))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (hypot.f64 b a) (sqrt.f64 (*.f64 (pow.f64 a #s(literal -4 binary64)) (fma.f64 b b (*.f64 a a)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 a #s(literal -4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a a) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (+.f64 b a)) #s(literal -1 binary64)) (pow.f64 (/.f64 a (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a)) (fabs.f64 (pow.f64 a #s(literal -1 binary64))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a)) (sqrt.f64 (pow.f64 a #s(literal -2 binary64))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (fma.f64 b b (*.f64 a a)) a))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal -2 binary64))) (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (pow.f64 a #s(literal -2 binary64))))
(*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (neg.f64 (pow.f64 a #s(literal -2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (fma.f64 b b (*.f64 a a)) a))
(*.f64 (neg.f64 (pow.f64 a #s(literal -2 binary64))) (fma.f64 b b (*.f64 a a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 b a) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (pow.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (fabs.f64 (+.f64 b a)) (*.f64 (fabs.f64 (-.f64 b a)) (pow.f64 a #s(literal -2 binary64))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (*.f64 (-.f64 a b) (pow.f64 a #s(literal -2 binary64)))))
(*.f64 (/.f64 (hypot.f64 b a) a) (neg.f64 (/.f64 (hypot.f64 b a) a)))
(*.f64 (/.f64 (hypot.f64 b a) a) (/.f64 (hypot.f64 b a) a))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (+.f64 b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (+.f64 b a) (*.f64 (*.f64 (-.f64 a b) (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 b a) (*.f64 (-.f64 a b) (neg.f64 (pow.f64 a #s(literal -2 binary64)))))
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(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal -2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 a b) #s(literal 4 binary64))))))
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(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) #s(literal 2 binary64)) (pow.f64 a #s(literal -1 binary64)))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) (fma.f64 b b (*.f64 a a)))) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a)) (sqrt.f64 (/.f64 a (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a)) (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) a)))
(/.f64 (hypot.f64 b a) (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 a) a))))
(/.f64 (hypot.f64 b a) (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 a a))))
(/.f64 (hypot.f64 b a) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(/.f64 (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a)) (sqrt.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a)) (neg.f64 a))
(/.f64 (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a)) a)
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal -2 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) #s(literal 2 binary64)) (*.f64 (hypot.f64 b a) (hypot.f64 b a)))
(/.f64 (pow.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) #s(literal 2 binary64)) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fabs.f64 (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a))))
(/.f64 (/.f64 (hypot.f64 b a) a) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) (neg.f64 a))
(/.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a) a)
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fabs.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a))
(/.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a)))
(/.f64 (*.f64 (hypot.f64 b a) (hypot.f64 b a)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (hypot.f64 b a) (hypot.f64 b a)) (*.f64 a a))
(/.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a))
(neg.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) (/.f64 (neg.f64 b) a) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (/.f64 b (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (pow.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 b (pow.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 b (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (/.f64 (*.f64 (neg.f64 b) b) a) (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (neg.f64 b) b) a) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 b) b) a) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 b b) a) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (/.f64 (*.f64 b b) a) (pow.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 b) b) (neg.f64 (pow.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (*.f64 (neg.f64 b) b) (pow.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 b) b) (*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 a a)))
(fma.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 a a) (*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 b) b)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 (neg.f64 b) (*.f64 b (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (neg.f64 (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (pow.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))
(fma.f64 b (*.f64 b (pow.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal -4 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a)))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 a a)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (*.f64 a a) a) (neg.f64 a)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 (neg.f64 a) a)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 (neg.f64 a) a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (neg.f64 a) a)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (neg.f64 a) a)))
(-.f64 (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(-.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 b) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 b) b)))
(+.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 a a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a)))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a))))
(+.f64 (/.f64 (/.f64 (*.f64 a a) a) (neg.f64 a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))

eval62.0ms (1.6%)

Memory
-1.1MiB live, 75.3MiB allocated
Compiler

Compiled 9 378 to 1 944 computations (79.3% saved)

prune17.0ms (0.5%)

Memory
-12.6MiB live, 29.6MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4744478
Fresh000
Picked101
Done000
Total4754479
Accuracy
100.0%
Counts
479 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
99.0%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
100.0%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
Compiler

Compiled 72 to 46 computations (36.1% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize72.0ms (1.9%)

Memory
6.7MiB live, 83.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 a)
accuracy0.0
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)))
accuracy0.00390625
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))))
accuracy13.716523878267122
(/.f64 b (*.f64 (neg.f64 a) a))
accuracy0.0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)))
accuracy0.0
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))
accuracy0.00390625
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
accuracy0.0078125
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)
accuracy0.0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy0.00390625
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy0.6572908646563275
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy0.0
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy0.0
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy0.00390625
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
accuracy0.296875
(/.f64 (/.f64 b a) a)
Samples
55.0ms256×0valid
Compiler

Compiled 453 to 58 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 10.0ms (29.3% of total)
ival-mult: 10.0ms (29.3% of total)
ival-fabs: 4.0ms (11.7% of total)
ival-add: 3.0ms (8.8% of total)
ival-sqrt: 3.0ms (8.8% of total)
ival-neg: 2.0ms (5.9% of total)
ival-sub: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
15 → 15
Calls
Call 1
Inputs
(/.f64 (/.f64 b a) a)
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(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)))
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)))
(/.f64 b (*.f64 (neg.f64 a) a))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)))
(neg.f64 a)
Outputs
(/ b (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* -1 (/ b (pow a 2)))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* -1 a)
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
Calls

6 calls:

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

simplify110.0ms (2.9%)

Memory
-6.4MiB live, 71.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031142
178122
2211122
3877122
44922122
08157115
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
(/ b (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* -1 (/ b (pow a 2)))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* -1 a)
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
Outputs
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(* -1 (/ (pow b 2) (pow a 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b)
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))
(* -1 (/ b (pow a 2)))
(/.f64 (/.f64 (neg.f64 b) a) a)
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(* -1 a)
(neg.f64 a)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))

rewrite192.0ms (5.1%)

Memory
0.7MiB live, 158.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030205
051204
1209182
21747144
08791144
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 464
Calls
Call 1
Inputs
(/.f64 (/.f64 b a) a)
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(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)))
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)))
(/.f64 b (*.f64 (neg.f64 a) a))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64)))
(neg.f64 a)
Outputs
(*.f64 (pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 b) a) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b a))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) a))
(*.f64 (/.f64 b a) (pow.f64 a #s(literal -1 binary64)))
(*.f64 b (pow.f64 a #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 (/.f64 a b) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a a) b) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a b) a) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 b a) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 a a))
(/.f64 (/.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 (/.f64 a b)))
(/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (neg.f64 b)) (*.f64 a a))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 a b))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 a b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a b) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 a b) a) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 a b) a)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 a) a) b))
(/.f64 (/.f64 b a) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 b a) a)
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 b (*.f64 (neg.f64 a) a)))
(sqrt.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (neg.f64 (neg.f64 a))) (/.f64 b (*.f64 (neg.f64 a) a)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) a) (/.f64 b (*.f64 (neg.f64 a) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (*.f64 (neg.f64 a) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 b (*.f64 (neg.f64 a) a)))
(fabs.f64 (/.f64 b (*.f64 (neg.f64 a) a)))
(fabs.f64 (/.f64 (/.f64 b a) a))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) a)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 (/.f64 b a) a))
(*.f64 (neg.f64 (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fabs.f64 (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (*.f64 (neg.f64 a) a) (+.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 a a) (neg.f64 (+.f64 #s(literal 0 binary64) a)))
(neg.f64 a)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 0 binary64) a)))
(-.f64 #s(literal 0 binary64) a)
(+.f64 #s(literal 0 binary64) (neg.f64 a))

eval89.0ms (2.4%)

Memory
9.1MiB live, 84.3MiB allocated
Compiler

Compiled 18 760 to 2 555 computations (86.4% saved)

prune21.0ms (0.5%)

Memory
-9.2MiB live, 28.7MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New6414645
Fresh000
Picked314
Done000
Total6445649
Accuracy
100.0%
Counts
649 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
99.0%
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
78.9%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64))))
78.3%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))))
100.0%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
Compiler

Compiled 95 to 58 computations (38.9% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize66.0ms (1.7%)

Memory
9.3MiB live, 53.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 a b)
accuracy0.0
(*.f64 (-.f64 a b) (+.f64 a b))
accuracy0.01953125
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
accuracy13.36597012434728
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
accuracy0.00390625
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy0.6572908646563275
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy0.0
(neg.f64 a)
accuracy0.0
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64)))
accuracy0.00390625
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64))))
accuracy13.716523878267122
(/.f64 b (*.f64 (neg.f64 a) a))
accuracy0.0
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a))))
accuracy0.00390625
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))))
accuracy0.1328125
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))
accuracy13.559127847320417
(/.f64 (-.f64 a b) (*.f64 a a))
Samples
41.0ms256×0valid
Compiler

Compiled 371 to 50 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 9.0ms (32% of total)
ival-div: 6.0ms (21.3% of total)
ival-sqrt: 5.0ms (17.8% of total)
ival-add: 2.0ms (7.1% of total)
ival-sub: 2.0ms (7.1% of total)
ival-fabs: 1.0ms (3.6% of total)
ival-neg: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.8%)

Memory
-16.5MiB live, 21.9MiB allocated
Counts
14 → 97
Calls
Call 1
Inputs
(/.f64 (-.f64 a b) (*.f64 a a))
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a))))
(/.f64 b (*.f64 (neg.f64 a) a))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64)))
(neg.f64 a)
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
(*.f64 (-.f64 a b) (+.f64 a b))
(+.f64 a b)
Outputs
(* -1 (/ b (pow a 2)))
(/ (+ a (* -1 b)) (pow a 2))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 a)
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
b
(+ a b)
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
1
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))
(+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))
(+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* a (+ 1 (/ b a)))
(* -1 (/ (- (/ b a) 1) a))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (pow (sqrt -1) 2))
(+ (* -1 (pow (sqrt -1) 2)) (* 1/2 (/ (+ b (* -1 b)) a)))
(+ (* -1 (/ (+ (* -1/2 (+ b (* -1 b))) (* 1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a))) a)) (* -1 (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* -1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2))))) a)) (* -1/2 (+ b (* -1 b)))) a)) (* -1 (pow (sqrt -1) 2)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ 1 (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 6))) (* 1/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))
(+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))
(* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* b (+ 1 (/ a b)))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
a
@-inf
((/ (- a b) (* a a)) (* (+ a b) (/ (- a b) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ b (* (neg a) a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (neg a) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (sqrt (* (- a b) (+ a b))) (/ (sqrt (* (- a b) (+ a b))) a) (* (- a b) (+ a b)) (+ a b))
5.0ms
b
@0
((/ (- a b) (* a a)) (* (+ a b) (/ (- a b) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ b (* (neg a) a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (neg a) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (sqrt (* (- a b) (+ a b))) (/ (sqrt (* (- a b) (+ a b))) a) (* (- a b) (+ a b)) (+ a b))
4.0ms
b
@inf
((/ (- a b) (* a a)) (* (+ a b) (/ (- a b) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ b (* (neg a) a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (neg a) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (sqrt (* (- a b) (+ a b))) (/ (sqrt (* (- a b) (+ a b))) a) (* (- a b) (+ a b)) (+ a b))
3.0ms
a
@0
((/ (- a b) (* a a)) (* (+ a b) (/ (- a b) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ b (* (neg a) a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (neg a) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (sqrt (* (- a b) (+ a b))) (/ (sqrt (* (- a b) (+ a b))) a) (* (- a b) (+ a b)) (+ a b))
3.0ms
a
@inf
((/ (- a b) (* a a)) (* (+ a b) (/ (- a b) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ b (* (neg a) a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (neg a) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (sqrt (* (- a b) (+ a b))) (/ (sqrt (* (- a b) (+ a b))) a) (* (- a b) (+ a b)) (+ a b))

simplify73.0ms (1.9%)

Memory
2.7MiB live, 40.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04342294
015882174
Stop Event
iter limit
iter limit
node limit
Counts
97 → 95
Calls
Call 1
Inputs
(* -1 (/ b (pow a 2)))
(/ (+ a (* -1 b)) (pow a 2))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 a)
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
b
(+ a b)
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
1
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))
(+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))
(+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* a (+ 1 (/ b a)))
(* -1 (/ (- (/ b a) 1) a))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (pow (sqrt -1) 2))
(+ (* -1 (pow (sqrt -1) 2)) (* 1/2 (/ (+ b (* -1 b)) a)))
(+ (* -1 (/ (+ (* -1/2 (+ b (* -1 b))) (* 1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a))) a)) (* -1 (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* -1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2))))) a)) (* -1/2 (+ b (* -1 b)))) a)) (* -1 (pow (sqrt -1) 2)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ 1 (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 6))) (* 1/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))
(+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))
(* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* b (+ 1 (/ a b)))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Outputs
(* -1 (/ b (pow a 2)))
(/.f64 (neg.f64 b) (*.f64 a a))
(/ (+ a (* -1 b)) (pow a 2))
(/.f64 (fma.f64 #s(literal -1 binary64) b a) (*.f64 a a))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) a (neg.f64 (*.f64 b b))) (*.f64 a a))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) b a) a (neg.f64 (*.f64 b b))) (*.f64 a a))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) (*.f64 a a))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) (*.f64 a a)))
(* -1 a)
(neg.f64 a)
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) (*.f64 a a))
(/ (* b (sqrt -1)) a)
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) a)
(/ (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 a a) b) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (*.f64 a a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64)))) (*.f64 a a) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (*.f64 a a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(* b (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) a) b) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) b) (sqrt.f64 #s(literal -1 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b))))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal 1/2 binary64))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) a) b) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) b) (sqrt.f64 #s(literal -1 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) a) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b))))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal 1/2 binary64))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(* -1 (pow b 2))
(neg.f64 (*.f64 b b))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(fma.f64 (*.f64 #s(literal 0 binary64) b) a (neg.f64 (*.f64 b b)))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) b a) a (neg.f64 (*.f64 b b)))
b
(+ a b)
(+.f64 b a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) a)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(+.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) (/.f64 b a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/2 binary64) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
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(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)))
(* -1 (/ (* b (sqrt -1)) a))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) a))
(* -1 (* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a))))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)))))
(* -1 (* b (sqrt -1)))
(*.f64 (neg.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 a a (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) a)) (sqrt.f64 #s(literal -1 binary64)))) b) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 (fma.f64 a a (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 a a (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) b))) b) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 a a (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) a)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a))) b) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) a) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) a) (/.f64 (fma.f64 a a (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) b))) #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 a a (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a)) #s(literal 1/2 binary64))) b))) b) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 b b))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (neg.f64 (/.f64 (*.f64 a a) b))) b) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 b b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal -1 binary64)))

rewrite153.0ms (4.1%)

Memory
30.0MiB live, 143.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026175
042179
1173157
21572126
08553126
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 056
Calls
Call 1
Inputs
(/.f64 (-.f64 a b) (*.f64 a a))
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a))))
(/.f64 b (*.f64 (neg.f64 a) a))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64)))
(neg.f64 a)
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
(*.f64 (-.f64 a b) (+.f64 a b))
(+.f64 a b)
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 a a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 (-.f64 a b) a))
(*.f64 (/.f64 (-.f64 a b) a) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (-.f64 a b) a))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 a b))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 a b)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(*.f64 (-.f64 a b) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (-.f64 a b) (neg.f64 (pow.f64 a #s(literal -2 binary64))))
(pow.f64 (/.f64 a (/.f64 (-.f64 a b) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a (/.f64 a (-.f64 a b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 a (/.f64 a (-.f64 a b))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 a a)) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b (*.f64 (neg.f64 a) a))))))
(/.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 b #s(literal 1 binary64))) (*.f64 (neg.f64 a) a))
(/.f64 (+.f64 (/.f64 a (neg.f64 a)) (neg.f64 (/.f64 b (neg.f64 a)))) (neg.f64 a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a))) a)
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (-.f64 a b) #s(literal 1 binary64))) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (/.f64 b (*.f64 a a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 (+.f64 b a) a) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 a a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b (*.f64 a a)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 a b) a))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a a) b))) (neg.f64 (pow.f64 a #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 b a) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (/.f64 a (neg.f64 a)) a) (*.f64 (neg.f64 a) (/.f64 b a))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 (/.f64 a (neg.f64 a)) (neg.f64 a)) (*.f64 (neg.f64 a) (/.f64 b (neg.f64 a)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 a (neg.f64 a)) (*.f64 (neg.f64 a) a)) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (*.f64 (/.f64 a (neg.f64 a)) (/.f64 (*.f64 a a) b)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 (*.f64 (/.f64 a (neg.f64 a)) (*.f64 a a)) (*.f64 (neg.f64 a) b)) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 a (*.f64 a (/.f64 b a))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 a (/.f64 b (neg.f64 a)))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) a)) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b)) a) (*.f64 a (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 a (*.f64 (/.f64 (*.f64 a a) a) (/.f64 b a))) (*.f64 (/.f64 (*.f64 a a) a) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 (*.f64 a a) a) (/.f64 b (neg.f64 a)))) (*.f64 (/.f64 (*.f64 a a) a) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) a)) (*.f64 (/.f64 (*.f64 a a) a) (neg.f64 b))) (*.f64 (/.f64 (*.f64 a a) a) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b)) (*.f64 (/.f64 (*.f64 a a) a) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 a a) a) (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 a a) a) b)) (*.f64 (/.f64 (*.f64 a a) a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 (neg.f64 a) a) (/.f64 b a))) (*.f64 (*.f64 (neg.f64 a) a) a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 a) a) (/.f64 b (neg.f64 a)))) (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 b))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 (*.f64 a a) b)) (*.f64 (*.f64 (neg.f64 a) a) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 a) a) (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 a) a) b)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) (/.f64 b a))) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 a a) (/.f64 b (neg.f64 a)))) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 a (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 a a) (neg.f64 b))) (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (*.f64 a (/.f64 (*.f64 a a) b)) (*.f64 a a)) (*.f64 (*.f64 a a) (/.f64 (*.f64 a a) b)))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) (*.f64 b #s(literal 1 binary64)))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) a)))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 a) (/.f64 b a))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 a) (neg.f64 (/.f64 b (neg.f64 a))))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) a)))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) a (*.f64 (neg.f64 a) (/.f64 b (neg.f64 a)))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (neg.f64 (/.f64 (*.f64 (neg.f64 a) a) b)) (*.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 a) (neg.f64 (/.f64 (*.f64 (neg.f64 a) a) b))))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (*.f64 a a) (*.f64 (neg.f64 a) (neg.f64 b))) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (/.f64 a (/.f64 b (neg.f64 a))) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 a (/.f64 b (neg.f64 a)))))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (/.f64 (/.f64 (*.f64 (neg.f64 a) a) b) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 (/.f64 (*.f64 (neg.f64 a) a) b) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (/.f64 (*.f64 (neg.f64 a) a) b) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (neg.f64 a) a) b)))
(/.f64 (fma.f64 (/.f64 a (neg.f64 a)) (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) a) (*.f64 a (*.f64 b #s(literal 1 binary64)))) (*.f64 a (*.f64 (neg.f64 a) a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 a (/.f64 b a))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 a (neg.f64 (/.f64 b (neg.f64 a))))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) a) (*.f64 a (neg.f64 (neg.f64 b)))) (*.f64 a (*.f64 (neg.f64 a) a)))
(/.f64 (+.f64 a (*.f64 a (/.f64 b (neg.f64 a)))) (*.f64 a a))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 a) a) b)) (neg.f64 a)) (*.f64 a (neg.f64 (/.f64 (*.f64 (neg.f64 a) a) b))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b (neg.f64 a))) a) (*.f64 a (/.f64 a (/.f64 b (neg.f64 a)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 a) a) b) #s(literal 1 binary64)) a) (*.f64 a (/.f64 (/.f64 (*.f64 (neg.f64 a) a) b) #s(literal 1 binary64))))
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(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) a) (*.f64 b a)) (*.f64 a (*.f64 (neg.f64 a) a)))
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(/.f64 (fma.f64 (*.f64 a a) (-.f64 a b) (*.f64 (-.f64 a b) (*.f64 (neg.f64 b) b))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 a b))
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64))) (sqrt.f64 a) b)
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 a) a)) b)
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) b)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))) b)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 a) b)
(fma.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 (neg.f64 a))) b)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) b)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))) a)
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) a)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) a)
(fma.f64 (/.f64 (*.f64 a a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)) (/.f64 (*.f64 b b) (-.f64 a b)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 b a) (/.f64 (*.f64 b b) (-.f64 a b)))
(fma.f64 #s(literal 1 binary64) b a)
(fma.f64 #s(literal 1 binary64) a b)
(fma.f64 (neg.f64 a) (/.f64 a (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (/.f64 (*.f64 b b) (-.f64 a b)))
(fma.f64 a (/.f64 a (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(fma.f64 a #s(literal 1 binary64) b)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a)))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (-.f64 a b)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (-.f64 a b)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (-.f64 a b)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (-.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 a b)) (+.f64 b a))
(-.f64 (/.f64 (*.f64 (-.f64 a b) a) (-.f64 a b)) (/.f64 (*.f64 (neg.f64 b) (-.f64 a b)) (-.f64 a b)))
(-.f64 (/.f64 (*.f64 (-.f64 a b) a) (-.f64 a b)) (/.f64 (*.f64 (-.f64 a b) b) (-.f64 a b)))
(-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (/.f64 (*.f64 (neg.f64 (neg.f64 b)) b) (-.f64 a b)))
(-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (/.f64 (*.f64 b b) (-.f64 a b)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))))
(+.f64 (/.f64 (*.f64 a (+.f64 b a)) (-.f64 a b)) (/.f64 (*.f64 (neg.f64 b) (+.f64 b a)) (-.f64 a b)))
(+.f64 (/.f64 (*.f64 (+.f64 b a) a) (-.f64 a b)) (/.f64 (*.f64 (+.f64 b a) (neg.f64 b)) (-.f64 a b)))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b))) (/.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b))))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b))) (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(+.f64 (/.f64 (*.f64 (-.f64 a b) a) (-.f64 a b)) (/.f64 (*.f64 (-.f64 a b) b) (-.f64 a b)))
(+.f64 (/.f64 (*.f64 (-.f64 a b) b) (-.f64 a b)) (/.f64 (*.f64 (-.f64 a b) a) (-.f64 a b)))
(+.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (*.f64 a (/.f64 a (-.f64 a b))))
(+.f64 (*.f64 a (/.f64 a (-.f64 a b))) (/.f64 (*.f64 b b) (-.f64 a b)))
(+.f64 b a)
(+.f64 a b)

eval163.0ms (4.3%)

Memory
-10.4MiB live, 179.9MiB allocated
Compiler

Compiled 38 938 to 5 228 computations (86.6% saved)

prune18.0ms (0.5%)

Memory
12.3MiB live, 51.3MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1 22111 222
Fresh000
Picked134
Done011
Total1 22251 227
Accuracy
100.0%
Counts
1 227 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
99.0%
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
78.3%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))))
100.0%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
78.9%
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
Compiler

Compiled 95 to 58 computations (38.9% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize31.0ms (0.8%)

Memory
-22.0MiB live, 26.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 b b)
accuracy0.0
(*.f64 a a)
accuracy0.12427319319396783
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
accuracy29.567510399384023
(/.f64 (*.f64 b b) (*.f64 a a))
Samples
23.0ms256×0valid
Compiler

Compiled 92 to 28 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.4% of total)
ival-div: 3.0ms (22.4% of total)
ival-sqrt: 2.0ms (15% of total)
ival-sub: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
4 → 20
Calls
Call 1
Inputs
(/.f64 (*.f64 b b) (*.f64 a a))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(*.f64 a a)
(*.f64 b b)
Outputs
(/ (pow b 2) (pow a 2))
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(pow a 2)
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))
(+ 1 (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 6))) (* 1/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))
(pow b 2)
(* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
b
@inf
((/ (* b b) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (* a a) (* b b))
1.0ms
b
@-inf
((/ (* b b) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (* a a) (* b b))
1.0ms
a
@0
((/ (* b b) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (* a a) (* b b))
1.0ms
a
@inf
((/ (* b b) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (* a a) (* b b))
1.0ms
a
@-inf
((/ (* b b) (* a a)) (sqrt (/ (- (* a a) (* b b)) (* a a))) (* a a) (* b b))

simplify19.0ms (0.5%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103429
0303406
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
20 → 20
Calls
Call 1
Inputs
(/ (pow b 2) (pow a 2))
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(pow a 2)
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))
(+ 1 (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 6))) (* 1/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))
(pow b 2)
(* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))))
Outputs
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (* b (sqrt -1)) a)
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) a)
(/ (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 a a) b) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (*.f64 a a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(/ (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1))))))) a)
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64)))) (*.f64 a a) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (*.f64 a a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(pow a 2)
(*.f64 a a)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))
(+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 6))) (* 1/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b b) #s(literal 1 binary64))
(pow b 2)
(*.f64 b b)
(* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))
(*.f64 (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)) b)
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a))) b)
(* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)))) b)
(* -1 (/ (* b (sqrt -1)) a))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) a))
(* -1 (* b (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)) b))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a))) b))
(* -1 (* b (+ (* -1/8 (/ (pow a 3) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 5) (* (pow b 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ a (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) a))))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (/.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)))) b))

rewrite86.0ms (2.3%)

Memory
-12.0MiB live, 64.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01436
01936
19728
293025
0892325
Stop Event
iter limit
node limit
iter limit
Counts
4 → 108
Calls
Call 1
Inputs
(/.f64 (*.f64 b b) (*.f64 a a))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(*.f64 a a)
(*.f64 b b)
Outputs
(*.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 b (pow.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 b #s(literal -1 binary64)) (*.f64 b (pow.f64 a #s(literal -2 binary64))))
(*.f64 (neg.f64 (neg.f64 (/.f64 b a))) (neg.f64 (neg.f64 (/.f64 b a))))
(*.f64 (fabs.f64 (pow.f64 a #s(literal -2 binary64))) (*.f64 b b))
(*.f64 (*.f64 (/.f64 b a) b) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 b (/.f64 b a)))
(*.f64 (neg.f64 (*.f64 b (/.f64 b a))) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 b a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(*.f64 (*.f64 b (pow.f64 a #s(literal -2 binary64))) b)
(*.f64 (*.f64 b (/.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 b b))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (*.f64 (neg.f64 b) b) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (neg.f64 b) (*.f64 b (pow.f64 a #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 b b) (fabs.f64 (pow.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 b b) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 b b) (pow.f64 a #s(literal -2 binary64)))
(*.f64 b (*.f64 b (pow.f64 a #s(literal -2 binary64))))
(pow.f64 (neg.f64 (/.f64 b a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 b a) b)) a)
(/.f64 (neg.f64 (neg.f64 (*.f64 b (/.f64 b a)))) a)
(/.f64 (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 a (/.f64 a b)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 (/.f64 a b) a))
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 a (/.f64 a b)))
(/.f64 (fabs.f64 (*.f64 (/.f64 b a) b)) a)
(/.f64 (fabs.f64 (neg.f64 (*.f64 b (/.f64 b a)))) a)
(/.f64 (*.f64 (/.f64 b a) b) a)
(/.f64 (neg.f64 (*.f64 b (/.f64 b a))) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64))))
(/.f64 (*.f64 b (/.f64 b a)) a)
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(/.f64 (neg.f64 b) (/.f64 (*.f64 a a) b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (*.f64 b b)) a))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64)))
(/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 b b) (*.f64 a a))
(/.f64 b (*.f64 (/.f64 a b) a))
(/.f64 b (/.f64 (*.f64 a a) b))
(neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a a))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 a a) #s(literal -1 binary64))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(neg.f64 (*.f64 a a))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(fabs.f64 (-.f64 (*.f64 a a) #s(literal 0 binary64)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 a a))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 b) b)) (sqrt.f64 (*.f64 (neg.f64 b) b)))
(*.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (pow.f64 b #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (neg.f64 b)))
(*.f64 (sqrt.f64 (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 (pow.f64 b #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 1 binary64))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) b))
(fabs.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))

eval15.0ms (0.4%)

Memory
17.4MiB live, 17.4MiB allocated
Compiler

Compiled 3 393 to 551 computations (83.8% saved)

prune12.0ms (0.3%)

Memory
-28.9MiB live, 10.0MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1262128
Fresh000
Picked011
Done134
Total1276133
Accuracy
100.0%
Counts
133 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
78.3%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))))
100.0%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
99.8%
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 b a) b) a) #s(literal 1 binary64)))
78.9%
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
99.0%
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
Compiler

Compiled 335 to 131 computations (60.9% saved)

regimes22.0ms (0.6%)

Memory
26.4MiB live, 26.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 b a) b) a) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
Calls

7 calls:

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

Compiled 44 to 31 computations (29.5% saved)

regimes58.0ms (1.5%)

Memory
-26.5MiB live, 35.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 b a) b) a) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
Calls

7 calls:

40.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
3.0ms
b
3.0ms
a
3.0ms
(*.f64 a a)
3.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(sqrt.f64 (fabs.f64 (/.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(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
100.0%1(*.f64 a a)
100.0%1(*.f64 b b)
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes22.0ms (0.6%)

Memory
-16.8MiB live, 22.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 b a) b) a) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fma.f64 (/.f64 b (*.f64 (neg.f64 a) a)) b #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (*.f64 a a)))))
Outputs
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 b a) b) a) #s(literal 1 binary64)))
Calls

7 calls:

7.0ms
b
3.0ms
a
3.0ms
(*.f64 a a)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
2.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
Results
AccuracySegmentsBranch
99.8%1a
99.8%1b
99.8%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
99.8%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
99.8%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
99.8%1(*.f64 a a)
99.8%1(*.f64 b b)
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes12.0ms (0.3%)

Memory
19.2MiB live, 19.2MiB allocated
Accuracy

Total -13.8b remaining (-2211.7%)

Threshold costs -13.8b (-2211.7%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
Outputs
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
Calls

7 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 a a)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
2.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
Results
AccuracySegmentsBranch
99.0%1a
99.0%1b
99.0%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
99.0%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
99.0%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
99.0%1(*.f64 a a)
99.0%1(*.f64 b b)
Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify37.0ms (1%)

Memory
3.5MiB live, 42.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02883
13683
23883
34483
45983
57283
68783
712383
815783
919783
1023383
1125583
1226983
1328283
1429583
1530183
1630283
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 b a) b) a) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 b a) b) a) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))

soundness618.0ms (16.4%)

Memory
-6.5MiB live, 263.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0103429
0303406
025102
16492
222192
3136892
4726392
0833690
04342294
015882174
030205
051204
1209182
21747144
08791144
01436
01936
19728
293025
0892325
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
unsound
Compiler

Compiled 201 to 103 computations (48.8% saved)

preprocess28.0ms (0.7%)

Memory
-0.4MiB live, 37.8MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 284 to 124 computations (56.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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