Eccentricity of an ellipse

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.3%)

Memory
16.3MiB live, 16.3MiB 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)

sample1.4s (28.8%)

Memory
48.2MiB live, 1 501.4MiB allocated
Samples
978.0ms8 256×0valid
65.0ms779×0invalid
Precisions
Click to see histograms. Total time spent on operations: 626.0ms
ival-mult: 191.0ms (30.5% of total)
ival-<=: 143.0ms (22.8% of total)
ival-sub: 77.0ms (12.3% of total)
ival-sqrt: 66.0ms (10.5% of total)
ival-div: 62.0ms (9.9% of total)
ival-fabs: 52.0ms (8.3% of total)
ival-and: 20.0ms (3.2% of total)
exact: 11.0ms (1.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain103.0ms (2.1%)

Memory
-35.7MiB live, 168.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
600-0-(/.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/u600
(*.f64 b b)underflow186
(-.f64 (*.f64 a a) (*.f64 b b))underflow60
(*.f64 a a)underflow60
(*.f64 a a)underflow60
Confusion
Predicted +Predicted -
+600
-0196
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6000
-00196
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0196
160
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
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 (36.8% of total)
ival-div: 3.0ms (15.8% of total)
ival-fabs: 3.0ms (15.8% of total)
ival-sqrt: 3.0ms (15.8% of total)
ival-sub: 2.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess170.0ms (3.5%)

Memory
20.8MiB live, 222.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02267
18557
233857
3248357
4646657
0813
01413
13011
27511
319911
448411
5173511
6566111
0820610
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
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify139.0ms (2.9%)

Memory
-2.2MiB live, 156.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a a)
cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
cost-diff128
(-.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0851
01451
13045
27545
319945
448445
5173545
6566145
0820643
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
Outputs
(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))))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) b a) a)
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 a a)
a
(*.f64 b b)
b

localize24.0ms (0.5%)

Memory
1.2MiB live, 40.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
accuracy0.01171875
(-.f64 (*.f64 a a) (*.f64 b b))
accuracy0.015625
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
accuracy14.554852752605285
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Samples
17.0ms256×0valid
Compiler

Compiled 104 to 18 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (29.3% of total)
ival-div: 2.0ms (19.6% of total)
ival-sqrt: 2.0ms (19.6% of total)
ival-sub: 1.0ms (9.8% of total)
ival-fabs: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
5 → 13
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(-.f64 (*.f64 a a) (*.f64 b b))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(*.f64 a a)
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Outputs
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(pow a 2)
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ (* -1 (pow b 2)) (pow a 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
Calls

6 calls:

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

simplify182.0ms (3.7%)

Memory
-1.7MiB live, 115.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025102
15592
216592
370992
4381792
0804590
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(pow a 2)
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ (* -1 (pow b 2)) (pow a 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
Outputs
(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 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(*.f64 (-.f64 a b) (+.f64 b 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))))
(pow a 2)
(*.f64 a a)
(* -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 (neg.f64 b) (/.f64 b a) a) a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)

rewrite392.0ms (8.1%)

Memory
-84.5MiB live, 106.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0846
01446
15840
243134
3434834
0822934
Stop Event
iter limit
node limit
iter limit
Counts
5 → 416
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(-.f64 (*.f64 a a) (*.f64 b b))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(*.f64 a a)
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Outputs
(*.f64 (exp.f64 (log.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (*.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) a) (/.f64 (fabs.f64 (-.f64 b a)) a))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (/.f64 (-.f64 a b) a)))
(*.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (pow.f64 a #s(literal -2 binary64))))
(*.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) (fabs.f64 (pow.f64 a #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (*.f64 a a)))
(*.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 (-.f64 a b) a) a)))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 a #s(literal -2 binary64)))
(pow.f64 (/.f64 a (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))))) (exp.f64 (log.f64 (*.f64 (neg.f64 a) a))))
(/.f64 (exp.f64 (log.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)))) a)
(/.f64 (exp.f64 (log.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) (*.f64 a a))
(/.f64 (/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 a)) a)
(/.f64 (/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a) (neg.f64 a))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 a #s(literal -2 binary64))) (fabs.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 a #s(literal -2 binary64))) (fabs.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 a #s(literal -1 binary64))) a)
(/.f64 (*.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal -1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) (*.f64 a a))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (neg.f64 a))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 a #s(literal -1 binary64))) (*.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) a))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) (*.f64 a a)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 a #s(literal -1 binary64))) (*.f64 (fabs.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) a))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (fabs.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64)))) (fabs.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (fabs.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64)))) (fabs.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b 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 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (*.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 a a) (fabs.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fabs.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 (*.f64 a a) (fabs.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fabs.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a) (pow.f64 a #s(literal 6 binary64)))))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 a a) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a) (pow.f64 a #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 (*.f64 a a) (neg.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(/.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 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) (*.f64 (neg.f64 a) a)))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) (neg.f64 (neg.f64 a)))
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a) (pow.f64 a #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))
(neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (*.f64 b (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))
(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) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (neg.f64 (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 b (neg.f64 (*.f64 b (pow.f64 a #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (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 (pow.f64 b #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 6 binary64)) (fma.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a) (pow.f64 a #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (+.f64 #s(literal -1 binary64) (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 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 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 b) b)) #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 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 b) b)))
(+.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))))

eval112.0ms (2.3%)

Memory
22.6MiB live, 99.2MiB allocated
Compiler

Compiled 9 570 to 1 905 computations (80.1% saved)

prune36.0ms (0.7%)

Memory
-13.5MiB live, 24.9MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4446450
Fresh000
Picked011
Done000
Total4447451
Accuracy
100.0%
Counts
451 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
76.5%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
99.7%
(sqrt.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b))))
76.1%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
100.0%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
97.2%
(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 213 to 138 computations (35.2% saved)

simplify165.0ms (3.4%)

Memory
-2.1MiB live, 86.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
cost-diff0
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))
cost-diff0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))
cost-diff0
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
cost-diff0
(-.f64 a b)
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
cost-diff128
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a))))
cost-diff192
(*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))
cost-diff0
(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff0
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
cost-diff0
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
cost-diff0
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
cost-diff0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
cost-diff0
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
cost-diff0
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
cost-diff0
(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)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035302
060301
1109279
2191276
3428276
4911276
52740276
08142276
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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)))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(/.f64 (/.f64 b a) a)
(/.f64 b a)
b
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)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
a
b
(+.f64 b a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a))))
(*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))
(-.f64 a b)
a
b
(/.f64 (+.f64 b a) (*.f64 a a))
(+.f64 b a)
(*.f64 a a)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
(fma.f64 (neg.f64 b) (/.f64 b a) a)
(neg.f64 b)
b
(/.f64 b 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)))))
#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)))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(/.f64 (/.f64 b a) a)
(/.f64 b a)
b
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)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(-.f64 a b)
a
b
(+.f64 b a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
(-.f64 a b)
a
b
(/.f64 (+.f64 b a) (*.f64 a a))
(/.f64 (/.f64 (+.f64 b a) a) a)
(+.f64 b a)
(*.f64 a a)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
(fma.f64 (neg.f64 b) (/.f64 b a) a)
(neg.f64 b)
b
(/.f64 b a)
a

localize86.0ms (1.8%)

Memory
-14.6MiB live, 62.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))
accuracy0.0
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))
accuracy0.015625
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
accuracy0.01953125
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
accuracy0.0
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a))))
accuracy0.015625
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
accuracy0.19140625
(*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))
accuracy15.01552061495017
(/.f64 (+.f64 b a) (*.f64 a a))
accuracy0.0
(*.f64 (-.f64 a b) (+.f64 b a))
accuracy0.0
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy0.046875
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
accuracy14.810914195534565
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
accuracy0.0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy0.015625
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy1.8623920117874304
#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))))
accuracy0.015625
(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)))))
accuracy0.25390625
(/.f64 (/.f64 b a) a)
Samples
59.0ms256×0valid
Compiler

Compiled 554 to 66 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 17.0ms (39% of total)
ival-mult: 9.0ms (20.7% of total)
ival-fabs: 5.0ms (11.5% of total)
ival-sqrt: 5.0ms (11.5% of total)
ival-add: 4.0ms (9.2% of total)
ival-sub: 2.0ms (4.6% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
21 → 61
Calls
Call 1
Inputs
(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)))
(fma.f64 (/.f64 (/.f64 b a) a) b #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)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(-.f64 a b)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
(/.f64 (/.f64 b a) a)
(/.f64 (+.f64 b a) (*.f64 a a))
Outputs
(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))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(* -1 b)
(- a b)
(/ b (pow a 2))
(/ (+ a b) (pow a 2))
-1
(- (/ (pow b 2) (pow a 2)) 1)
1
(+ 1 (* -1 (/ (pow 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)))))
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
a
(* a (+ 1 (* -1 (/ b a))))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(* -1 (* a (- (/ b a) 1)))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ a (* -1 b))
(+ (/ 1 a) (/ b (pow a 2)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (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 (- (/ a b) 1))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
b
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (+ b a) (* a a)))
4.0ms
a
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (+ b a) (* a a)))
4.0ms
a
@0
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (+ b a) (* a a)))
4.0ms
a
@-inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (+ b a) (* a a)))
3.0ms
b
@-inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (+ b a) (* a a)))

simplify139.0ms (2.9%)

Memory
-17.3MiB live, 64.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135482
1381416
21085416
35265416
08437404
Stop Event
iter limit
node limit
Counts
61 → 60
Calls
Call 1
Inputs
(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))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(* -1 b)
(- a b)
(/ b (pow a 2))
(/ (+ a b) (pow a 2))
-1
(- (/ (pow b 2) (pow a 2)) 1)
1
(+ 1 (* -1 (/ (pow 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)))))
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
a
(* a (+ 1 (* -1 (/ b a))))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(* -1 (* a (- (/ b a) 1)))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ a (* -1 b))
(+ (/ 1 a) (/ b (pow a 2)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (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 (- (/ a b) 1))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
Outputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 b a))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(fma.f64 (/.f64 b a) (/.f64 b a) #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))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(*.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ (+ a b) (pow a 2))
(/.f64 (/.f64 (+.f64 b a) a) a)
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ b a)) a)
(/.f64 (/.f64 (+.f64 b a) a) a)
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(*.f64 (-.f64 a b) (+.f64 b a))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(/.f64 (/.f64 (+.f64 b a) a) a)
(+ (* b (+ a (* -1 a))) (pow a 2))
(*.f64 a a)
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(+ a (* -1 b))
(-.f64 a b)
(+ (/ 1 a) (/ b (pow a 2)))
(/.f64 (/.f64 (+.f64 b a) a) a)
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(*.f64 (-.f64 a b) (+.f64 b a))
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (/.f64 (+.f64 b a) a) a)
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)

rewrite242.0ms (5%)

Memory
26.2MiB live, 146.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035265
060262
1216240
21496207
08374207
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 399
Calls
Call 1
Inputs
(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)))
(fma.f64 (/.f64 (/.f64 b a) a) b #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)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(-.f64 a b)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
(/.f64 (/.f64 b a) a)
(/.f64 (+.f64 b a) (*.f64 a a))
Outputs
(*.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.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 (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.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 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fabs.f64 (-.f64 b a)) a) (fabs.f64 (/.f64 (+.f64 b a) a)))
(*.f64 (fabs.f64 (/.f64 (-.f64 a b) a)) (fabs.f64 (/.f64 (+.f64 b a) a)))
(*.f64 (neg.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(*.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (/.f64 (fabs.f64 (-.f64 b a)) a))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (/.f64 (-.f64 a b) a)))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (fabs.f64 (pow.f64 a #s(literal -1 binary64))))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (*.f64 (-.f64 a b) (pow.f64 a #s(literal -2 binary64)))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 a b))))
(*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (fabs.f64 (+.f64 b a))) (fabs.f64 (-.f64 b a)))
(*.f64 (fabs.f64 (-.f64 b a)) (*.f64 (pow.f64 a #s(literal -2 binary64)) (fabs.f64 (+.f64 b a))))
(*.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))) (fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(*.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))) (pow.f64 a #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow.f64 (fabs.f64 (/.f64 a (fma.f64 (neg.f64 b) (/.f64 b a) a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))))) (*.f64 a a))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)))) (neg.f64 a))
(/.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b))) a)
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)))) (fabs.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)))) (fabs.f64 (+.f64 b a)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64)))) (fabs.f64 (fma.f64 b b (*.f64 a a))))
(/.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)))) (fabs.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fabs.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (+.f64 b a)))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fabs.f64 (*.f64 a (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(/.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (*.f64 a (+.f64 b a))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (neg.f64 a) b) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fabs.f64 (*.f64 (*.f64 (neg.f64 a) a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (neg.f64 a) b) (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (*.f64 (*.f64 (neg.f64 a) a) (+.f64 b a))))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fabs.f64 (*.f64 (*.f64 a a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (*.f64 (*.f64 a a) (+.f64 b a))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (+.f64 b a) a))) (fabs.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) a)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (neg.f64 a) b))) (fabs.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (*.f64 (neg.f64 a) a))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 b a))) (fabs.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (*.f64 a a))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (+.f64 b a) a))) (fabs.f64 (*.f64 (+.f64 b a) a)))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (neg.f64 a) b))) (fabs.f64 (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) a))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a))) (fabs.f64 (*.f64 (+.f64 b a) (*.f64 a a))))
(/.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 (neg.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))) (*.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fabs.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fabs.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #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 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fabs.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) a)
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (*.f64 (*.f64 a (/.f64 a (+.f64 b a))) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (*.f64 a (/.f64 a (+.f64 b a))))))
(/.f64 (fabs.f64 (-.f64 b a)) (/.f64 (*.f64 a a) (fabs.f64 (+.f64 b a))))
(/.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))) (fabs.f64 (*.f64 (*.f64 a (/.f64 a (+.f64 b a))) (+.f64 b a))))
(/.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))) (fabs.f64 (*.f64 (+.f64 b a) (*.f64 a (/.f64 a (+.f64 b a))))))
(/.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 a (fma.f64 (neg.f64 b) (/.f64 b a) a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 a (fma.f64 (neg.f64 b) (/.f64 b a) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 a (fma.f64 (neg.f64 b) (/.f64 b a) a)))))
(fabs.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(fabs.f64 (-.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fabs.f64 (/.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (*.f64 (neg.f64 a) a)))
(fabs.f64 (*.f64 (*.f64 (-.f64 (neg.f64 a) b) (pow.f64 a #s(literal -2 binary64))) (neg.f64 (-.f64 a b))))
(fabs.f64 (*.f64 (*.f64 (-.f64 (neg.f64 a) b) (pow.f64 a #s(literal -2 binary64))) (-.f64 b a)))
(fabs.f64 (*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)) (-.f64 b a)))
(fabs.f64 (*.f64 (neg.f64 (-.f64 a b)) (*.f64 (-.f64 (neg.f64 a) b) (pow.f64 a #s(literal -2 binary64)))))
(fabs.f64 (*.f64 (-.f64 b a) (*.f64 (-.f64 (neg.f64 a) b) (pow.f64 a #s(literal -2 binary64)))))
(fabs.f64 (*.f64 (-.f64 b a) (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a))))
(fabs.f64 (*.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (pow.f64 a #s(literal -2 binary64))))
(fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #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)) a))
(*.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))) (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))) #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 (-.f64 a b) (neg.f64 a)) (/.f64 (+.f64 b a) 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)))
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(pow.f64 (/.f64 (*.f64 a a) b) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 (/.f64 a b)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 a b))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a a) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a a) b)))
(/.f64 (/.f64 b a) a)
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (/.f64 b (*.f64 (neg.f64 a) a)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 b) a) a))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (*.f64 a a)) (/.f64 (+.f64 b a) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(*.f64 (/.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) a) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a) (/.f64 (pow.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) #s(literal -1 binary64)) a))
(*.f64 (pow.f64 (*.f64 (/.f64 a (+.f64 b a)) (/.f64 a (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (pow.f64 a #s(literal -2 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64))) (pow.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (+.f64 b a) (neg.f64 a)))
(*.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (+.f64 b a) a) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 a a))))
(*.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (-.f64 b a))))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (+.f64 b a) a))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (*.f64 a a))))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (+.f64 b a) (pow.f64 a #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b a))))))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 a) b) (pow.f64 a #s(literal -2 binary64))))
(pow.f64 (*.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 b a) a))) a)
(/.f64 (*.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (pow.f64 a #s(literal -2 binary64))) (-.f64 b a))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(/.f64 (neg.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 a a))))
(/.f64 (neg.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))) (neg.f64 (*.f64 (*.f64 a a) (-.f64 b a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (*.f64 a a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 a a) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (neg.f64 a))
(/.f64 (/.f64 (+.f64 b a) a) a)
(/.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 a a) (-.f64 b a)))
(/.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (*.f64 (-.f64 b a) (*.f64 a a)))
(/.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a a) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) a))
(/.f64 (+.f64 b a) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 a a)) (fma.f64 b b (*.f64 (neg.f64 a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (*.f64 a a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) (-.f64 b a)) (fma.f64 b b (*.f64 (neg.f64 a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (-.f64 a b) a (*.f64 b b))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 a (/.f64 a (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b a)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 a) b) (pow.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (-.f64 b a))) (/.f64 (*.f64 a a) (*.f64 (*.f64 a a) (-.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (*.f64 (-.f64 (neg.f64 a) b) (pow.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (neg.f64 a) b) (pow.f64 a #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 a (+.f64 b a)))) #s(literal -1 binary64)))

eval312.0ms (6.4%)

Memory
-14.5MiB live, 173.3MiB allocated
Compiler

Compiled 31 093 to 4 980 computations (84% saved)

prune49.0ms (1%)

Memory
11.8MiB live, 51.3MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 10931 112
Fresh101
Picked145
Done011
Total1 11181 119
Accuracy
100.0%
Counts
1 119 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
4.7%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
76.5%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))))
100.0%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
97.2%
(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)))))
77.3%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
Compiler

Compiled 137 to 87 computations (36.5% saved)

simplify167.0ms (3.4%)

Memory
-7.9MiB live, 79.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
cost-diff0
(fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))
cost-diff0
(sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))))
cost-diff0
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
cost-diff0
(-.f64 a b)
cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))))
cost-diff128
(fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a)))))
cost-diff576
(/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))
cost-diff0
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
cost-diff0
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
cost-diff0
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
cost-diff0
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030192
047189
188185
2182178
3461178
41183178
54791178
08288178
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))))
(fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a)))))
(/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))
(-.f64 a b)
a
b
(*.f64 a (/.f64 a (+.f64 b a)))
(/.f64 a (+.f64 b a))
(+.f64 b a)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))))
(fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
a
Outputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a)))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))
(neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(-.f64 a b)
a
b
(*.f64 a (/.f64 a (+.f64 b a)))
(*.f64 (/.f64 a (+.f64 b a)) a)
(/.f64 a (+.f64 b a))
(+.f64 b a)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))))
(fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
a

localize93.0ms (1.9%)

Memory
16.8MiB live, 94.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))
accuracy0.046875
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
accuracy14.810914195534565
(sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))))
accuracy45.85339760719636
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
accuracy0.00390625
(*.f64 a (/.f64 a (+.f64 b a)))
accuracy0.015625
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))))
accuracy0.02734375
(/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))
accuracy0.02734375
(/.f64 a (+.f64 b a))
accuracy0.0
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy0.0
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy0.015625
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
accuracy15.15774741196805
(/.f64 b (*.f64 a a))
Samples
77.0ms256×0valid
Compiler

Compiled 348 to 58 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-fabs: 36.0ms (55.8% of total)
ival-mult: 9.0ms (14% of total)
ival-div: 8.0ms (12.4% of total)
ival-sqrt: 5.0ms (7.8% of total)
ival-add: 2.0ms (3.1% of total)
ival-sub: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-14.5MiB live, 23.8MiB allocated
Counts
15 → 87
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))
(fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))))
(-.f64 a b)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))))
(fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
(/.f64 b (*.f64 a a))
(/.f64 a (+.f64 b a))
(*.f64 a (/.f64 a (+.f64 b a)))
Outputs
(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))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (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))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(* -1 b)
(- a b)
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(/ b (pow a 2))
(/ a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(/ (pow a 2) b)
(* (pow a 2) (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
-1
(- (/ (pow b 2) (pow a 2)) 1)
1
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
a
(* a (+ 1 (* -1 (/ b a))))
(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)))))
(+ 1 (* -1 (/ b a)))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(* a (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(* -1 (* a (- (/ b a) 1)))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
(* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ a (* -1 b))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(+ a (* b (- (/ b a) 1)))
(+ a (* b (- (* b (+ (* -1 (/ b (pow a 2))) (/ 1 a))) 1)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* b (- (/ a b) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b)
(/ (- (+ (/ (pow a 4) (pow b 2)) (pow a 2)) (/ (pow a 3) b)) b)
(/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (pow a 2)) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 3) b))) b)
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 (pow a 2)) (/ (pow a 3) b)) b))
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (* -1 (pow a 2))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (pow a 3)) b)) (* -1 (pow a 2))) b))
Calls

6 calls:

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

simplify148.0ms (3%)

Memory
9.7MiB live, 161.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02701101
1816936
22303904
08599863
Stop Event
iter limit
node limit
Counts
87 → 86
Calls
Call 1
Inputs
(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))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (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))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(* -1 b)
(- a b)
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(/ b (pow a 2))
(/ a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(/ (pow a 2) b)
(* (pow a 2) (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
-1
(- (/ (pow b 2) (pow a 2)) 1)
1
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
a
(* a (+ 1 (* -1 (/ b a))))
(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)))))
(+ 1 (* -1 (/ b a)))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(* a (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(* -1 (* a (- (/ b a) 1)))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
(* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ a (* -1 b))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(+ a (* b (- (/ b a) 1)))
(+ a (* b (- (* b (+ (* -1 (/ b (pow a 2))) (/ 1 a))) 1)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* b (- (/ a b) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b)
(/ (- (+ (/ (pow a 4) (pow b 2)) (pow a 2)) (/ (pow a 3) b)) b)
(/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (pow a 2)) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 3) b))) b)
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 (pow a 2)) (/ (pow a 3) b)) b))
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (* -1 (pow a 2))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (pow a 3)) b)) (* -1 (pow a 2))) b))
Outputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 b a))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b)
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(*.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ a b)
(/.f64 a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 (neg.f64 a) b) b)) a (/.f64 a b))
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) a (/.f64 #s(literal -1 binary64) (*.f64 b b))) a (/.f64 #s(literal 1 binary64) b)) a)
(/ (pow a 2) b)
(*.f64 (/.f64 a b) a)
(* (pow a 2) (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(*.f64 (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b) a)
(* (pow a 2) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 a b) b))) (*.f64 a a))
(* (pow a 2) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) a (/.f64 #s(literal -1 binary64) (*.f64 b b))) a (/.f64 #s(literal 1 binary64) b)) a) a)
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
a
(* a (+ 1 (* -1 (/ b a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)) a) a)
(+ 1 (* -1 (/ b a)))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
(fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b #s(literal 1 binary64)) a)
(* a (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) a)
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(* -1 (* a (- (/ b a) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)) a) a)
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
(fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))))
(* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1)))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b #s(literal 1 binary64)) a)
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1)))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) a)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(+ a (* -1 b))
(-.f64 a b)
(+ (* b (+ a (* -1 a))) (pow a 2))
(*.f64 a a)
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b #s(literal 1 binary64))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(fma.f64 (/.f64 (/.f64 (-.f64 b a) a) a) b (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))))
(+ a (* b (- (/ b a) 1)))
(fma.f64 (/.f64 (-.f64 b a) a) b a)
(+ a (* b (- (* b (+ (* -1 (/ b (pow a 2))) (/ 1 a))) 1)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) b #s(literal -1 binary64)) b a)
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(* b (- (/ a b) 1))
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) b) b)
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/.f64 (fma.f64 (/.f64 (*.f64 a (-.f64 (/.f64 a b) #s(literal 1 binary64))) b) a a) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(/.f64 (-.f64 a (/.f64 (fma.f64 a a (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (pow.f64 a #s(literal 3 binary64))) b)) b)) b)
(/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b)
(*.f64 (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b) a)
(/ (- (+ (/ (pow a 4) (pow b 2)) (pow a 2)) (/ (pow a 3) b)) b)
(/.f64 (fma.f64 a a (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (pow.f64 a #s(literal 3 binary64))) b)) b)
(/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (pow a 2)) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 3) b))) b)
(/.f64 (fma.f64 a a (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) b) (pow.f64 a #s(literal 4 binary64))) (neg.f64 b)) (pow.f64 a #s(literal 3 binary64))) b)) b)
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) b) b)
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 a (-.f64 (/.f64 a b) #s(literal 1 binary64))) b) a a) b)
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b))
(/.f64 (-.f64 a (/.f64 (fma.f64 a a (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (pow.f64 a #s(literal 3 binary64))) b)) b)) b)
(* -1 (/ (+ (* -1 (pow a 2)) (/ (pow a 3) b)) b))
(*.f64 (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b) a)
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (* -1 (pow a 2))) b))
(/.f64 (fma.f64 a a (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (pow.f64 a #s(literal 3 binary64))) b)) b)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (pow a 3)) b)) (* -1 (pow a 2))) b))
(/.f64 (fma.f64 a a (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) b) (pow.f64 a #s(literal 4 binary64))) (neg.f64 b)) (pow.f64 a #s(literal 3 binary64))) b)) b)

rewrite183.0ms (3.8%)

Memory
-4.9MiB live, 199.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030173
047170
1177159
21234149
08434149
Stop Event
iter limit
node limit
iter limit
Counts
15 → 872
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))
(fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))))
(-.f64 a b)
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
(sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))))
(fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
(/.f64 b (*.f64 a a))
(/.f64 a (+.f64 b a))
(*.f64 a (/.f64 a (+.f64 b a)))
Outputs
(*.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 a)) (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) a) (/.f64 (fabs.f64 (-.f64 b a)) a))
(*.f64 (/.f64 (fabs.f64 (-.f64 b a)) a) (/.f64 (fabs.f64 (+.f64 b a)) a))
(*.f64 (fabs.f64 (/.f64 (neg.f64 (/.f64 (-.f64 a b) a)) a)) (fabs.f64 (+.f64 b a)))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 a b) a) a)) (fabs.f64 (+.f64 b a)))
(*.f64 (neg.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (neg.f64 (fabs.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (*.f64 (/.f64 a (+.f64 b a)) a)))))
(*.f64 (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 a (+.f64 b a)))))
(*.f64 (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 a)))
(*.f64 (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))) (fabs.f64 (/.f64 (+.f64 b a) a)))
(*.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(*.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 b a))) (fabs.f64 (pow.f64 a #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (fabs.f64 (+.f64 b a))) (fabs.f64 (-.f64 b a)))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (/.f64 (-.f64 a b) a) a)))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (-.f64 b a)) (fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (+.f64 b a)) a))))
(*.f64 (fabs.f64 (-.f64 b a)) (*.f64 (pow.f64 a #s(literal -2 binary64)) (fabs.f64 (+.f64 b a))))
(*.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))) (fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(*.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))) (pow.f64 a #s(literal -2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))))) (*.f64 a a))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (fabs.f64 (*.f64 (/.f64 a (+.f64 b a)) a)))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (/.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 b a)))) (neg.f64 (fabs.f64 a)))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 (+.f64 b a) a) a))) (fabs.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (/.f64 (+.f64 b a) a) a))) (fabs.f64 (+.f64 b a)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64)))) (fabs.f64 (fma.f64 b b (*.f64 a a))))
(/.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)))) (fabs.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (+.f64 b a) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b (*.f64 (/.f64 a (+.f64 b a)) a)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (/.f64 (+.f64 b a) a) (/.f64 b (*.f64 (/.f64 a (+.f64 b a)) a)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 (/.f64 a (+.f64 b a)) a)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (/.f64 (+.f64 b a) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b (*.f64 (/.f64 a (+.f64 b a)) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 b a) a) (/.f64 b (*.f64 (/.f64 a (+.f64 b a)) a)))))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (-.f64 (*.f64 a (*.f64 (/.f64 a (+.f64 b a)) a)) (*.f64 (*.f64 (/.f64 a (+.f64 b a)) a) b))) (fabs.f64 (pow.f64 (*.f64 (/.f64 a (+.f64 b a)) 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 (fabs.f64 (/.f64 (/.f64 (-.f64 a b) a) a)) (fabs.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (fabs.f64 (-.f64 b a))) (neg.f64 (fabs.f64 (*.f64 (/.f64 a (+.f64 b a)) a))))
(/.f64 (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))) (fabs.f64 (/.f64 a (+.f64 b a))))
(/.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 b a))) (fabs.f64 a))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fabs.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (*.f64 (/.f64 a (+.f64 b a)) a))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (*.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fabs.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fabs.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #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 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fabs.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 a (+.f64 b a))) (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 a) (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a a) b)))
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 b (*.f64 (neg.f64 a) a)))
(-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 (neg.f64 a) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a a)))
(*.f64 (pow.f64 (/.f64 (+.f64 b a) a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 b a) a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 a (fma.f64 b b (*.f64 (neg.f64 a) a))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 a (fma.f64 b b (*.f64 (neg.f64 a) a))) (-.f64 b a))
(*.f64 (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) #s(literal -1 binary64))))
(*.f64 (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) a)
(*.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b a)))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(*.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 b a) a))))
(*.f64 #s(literal -1 binary64) (/.f64 a (-.f64 (neg.f64 a) b)))
(*.f64 a (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 b a) a) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 b a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) a))
(/.f64 (*.f64 (/.f64 a (-.f64 (neg.f64 a) b)) a) (neg.f64 a))
(/.f64 (neg.f64 a) (-.f64 (neg.f64 a) b))
(/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) a)))
(/.f64 a (+.f64 b a))
(neg.f64 (/.f64 a (-.f64 (neg.f64 a) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 a) b)) (/.f64 a (-.f64 (neg.f64 a) b)))
(-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (neg.f64 a) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b a) a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fabs.f64 a) (fma.f64 b b (*.f64 (neg.f64 a) a))) (/.f64 (fabs.f64 a) (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 a) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (fabs.f64 a) (pow.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) #s(literal -1 binary64))))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 a (-.f64 (neg.f64 a) b)))
(*.f64 (/.f64 a (fma.f64 b b (*.f64 (neg.f64 a) a))) (/.f64 a (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 a (pow.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 a (+.f64 b a)) (/.f64 a (-.f64 b a))) (-.f64 b a))
(*.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (/.f64 a (pow.f64 a #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (+.f64 b a)) a))
(*.f64 (*.f64 (neg.f64 a) a) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(*.f64 (*.f64 (/.f64 a (+.f64 b a)) a) #s(literal 1 binary64))
(*.f64 (/.f64 a (+.f64 b a)) a)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (-.f64 (neg.f64 a) b)) a))
(*.f64 (*.f64 a a) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(*.f64 a (/.f64 a (+.f64 b a)))
(pow.f64 (/.f64 (/.f64 (+.f64 b a) a) a) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (+.f64 b a) a) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b a) a) a))
(/.f64 (*.f64 (/.f64 a (-.f64 (neg.f64 a) b)) a) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 a) a) (-.f64 (neg.f64 a) b))
(/.f64 (neg.f64 a) (neg.f64 (/.f64 (+.f64 b a) a)))
(/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 b a) a) a)))
(/.f64 (*.f64 a a) (+.f64 b a))
(/.f64 a (/.f64 (+.f64 b a) a))
(neg.f64 (*.f64 (/.f64 a (-.f64 (neg.f64 a) b)) a))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 a) b)) (*.f64 (/.f64 a (-.f64 (neg.f64 a) b)) a))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 a (-.f64 (neg.f64 a) b)) a))

eval158.0ms (3.2%)

Memory
5.5MiB live, 198.6MiB allocated
Compiler

Compiled 22 682 to 3 763 computations (83.4% saved)

prune16.0ms (0.3%)

Memory
9.8MiB live, 47.8MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New8340834
Fresh000
Picked033
Done055
Total8348842
Accuracy
100.0%
Counts
842 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
4.7%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
76.5%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))))
100.0%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
97.2%
(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)))))
77.3%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
Compiler

Compiled 302 to 149 computations (50.7% saved)

regimes21.0ms (0.4%)

Memory
-6.5MiB live, 32.7MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.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 (neg.f64 b) (/.f64 b a) a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 b a))))))
(sqrt.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b))))
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:

3.0ms
(/.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)

regimes23.0ms (0.5%)

Memory
-23.8MiB live, 21.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
Calls

7 calls:

12.0ms
a
2.0ms
b
2.0ms
(*.f64 a a)
2.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
99.3%2a
99.3%2b
99.3%2(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
99.3%2(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
99.3%2(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
99.3%2(*.f64 a a)
99.3%2(*.f64 b b)
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes8.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Accuracy

Total -59.2b remaining (-3312.1%)

Threshold costs -59.2b (-3312.1%)

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

7 calls:

1.0ms
b
1.0ms
a
1.0ms
(*.f64 a a)
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
1.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
Results
AccuracySegmentsBranch
97.2%1a
97.2%1b
97.2%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
97.2%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
97.2%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
97.2%1(*.f64 a a)
97.2%1(*.f64 b b)
Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.069e-320
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify50.0ms (1%)

Memory
-3.6MiB live, 35.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02882
15174
210974
326474
461274
5207874
6635574
Stop Event
node limit
Calls
Call 1
Inputs
(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)))))
(if (<=.f64 (*.f64 b b) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
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)))))
(if (<=.f64 (*.f64 b b) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

soundness356.0ms (7.3%)

Memory
16.9MiB live, 175.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025102
15592
216592
370992
4381792
0804590
035265
060262
1216240
21496207
08374207
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 131 to 68 computations (48.1% saved)

preprocess25.0ms (0.5%)

Memory
4.4MiB live, 43.4MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 282 to 128 computations (54.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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