Eccentricity of an ellipse

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB 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)

sample1.3s (22.9%)

Memory
22.2MiB live, 1 155.8MiB allocated
Samples
752.0ms8 256×0valid
51.0ms741×0invalid
Precisions
Click to see histograms. Total time spent on operations: 585.0ms
ival-mult: 174.0ms (29.8% of total)
ival-sub: 98.0ms (16.8% of total)
ival-<=: 92.0ms (15.7% of total)
ival-div: 67.0ms (11.5% of total)
ival-fabs: 66.0ms (11.3% of total)
ival-sqrt: 58.0ms (9.9% of total)
ival-and: 17.0ms (2.9% of total)
exact: 11.0ms (1.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain147.0ms (2.5%)

Memory
-7.0MiB live, 110.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
510-0-(/.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/u510
(*.f64 b b)underflow185
(-.f64 (*.f64 a a) (*.f64 b b))underflow51
(*.f64 a a)underflow51
(*.f64 a a)underflow51
Confusion
Predicted +Predicted -
+510
-0205
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5100
-00205
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0205
151
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms512×0valid
Compiler

Compiled 121 to 28 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 14.0ms (53.7% of total)
ival-div: 3.0ms (11.5% of total)
ival-sqrt: 3.0ms (11.5% of total)
ival-sub: 2.0ms (7.7% of total)
ival-fabs: 2.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess329.0ms (5.7%)

Memory
1.4MiB live, 237.8MiB allocated
Algorithm
egg-herbie
Rules
9 090×lower-fma.f64
9 090×lower-fma.f32
4 304×lower-*.f32
4 300×lower-*.f64
1 434×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02267
18557
233857
3252957
4643757
0813
01413
13011
27511
319911
448211
5172311
6564511
0818110
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 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
Symmetry

(abs b)

(abs a)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.1%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify173.0ms (3%)

Memory
20.8MiB live, 255.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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)))
cost-diff192
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Rules
9 090×lower-fma.f64
9 090×lower-fma.f32
4 304×lower-*.f32
4 300×lower-*.f64
1 340×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0851
01451
13045
27545
319945
448245
5172345
6564545
0818143
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 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 a a)
a
(*.f64 b b)
b

localize68.0ms (1.2%)

Memory
-30.9MiB live, 42.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
accuracy0.01171875
(-.f64 (*.f64 a a) (*.f64 b b))
accuracy0.01171875
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
accuracy12.369614549525759
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Samples
60.0ms256×0valid
Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 17.0ms (74.3% of total)
ival-div: 2.0ms (8.7% of total)
ival-sqrt: 2.0ms (8.7% of total)
ival-sub: 1.0ms (4.4% of total)
ival-fabs: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-30.9MiB live, 7.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))>
#<alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))>
#<alt (-.f64 (*.f64 a a) (*.f64 b b))>
#<alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))>
Outputs
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (* -1 (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(/ (- (* a a) (* b b)) (* a a))
1.0ms
b
@0
(/ (- (* a a) (* b b)) (* a a))
1.0ms
a
@0
(/ (- (* a a) (* b b)) (* a a))
0.0ms
a
@inf
(/ (- (* a a) (* b b)) (* a a))
0.0ms
a
@0
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

simplify255.0ms (4.4%)

Memory
41.8MiB live, 272.7MiB allocated
Algorithm
egg-herbie
Rules
17 628×lower-fma.f64
17 628×lower-fma.f32
5 538×lower-*.f64
5 538×lower-*.f32
1 900×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025972
155840
2165840
3711840
43832840
08007792
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
Outputs
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))

rewrite346.0ms (5.9%)

Memory
-17.5MiB live, 223.9MiB allocated
Rules
3 746×lower-fma.f64
3 746×lower-fma.f32
3 566×lower-*.f32
3 562×lower-*.f64
2 844×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0843
01443
15837
243131
3434431
0822531
Stop Event
iter limit
node limit
iter limit
Counts
4 → 391
Calls
Call 1
Inputs
(/.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 a a) (*.f64 b b))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (/.f64 b (*.f64 a a))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b (neg.f64 b))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b (neg.f64 b))) #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 a a)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 a a (*.f64 b b))) (*.f64 a a)) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a a (*.f64 b b))) (*.f64 a a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 a))) (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(fma.f64 b (neg.f64 (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b (neg.f64 b)) #s(literal 1 binary64))
(fma.f64 (*.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 a a))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a (neg.f64 a)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))) (*.f64 (neg.f64 (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 a (neg.f64 a))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))) (*.f64 (*.f64 a (neg.f64 a)) (neg.f64 (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))) (*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (*.f64 a (neg.f64 a))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a (neg.f64 a)) (neg.f64 (fma.f64 a a (*.f64 b b)))))
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)
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(/.f64 (sqrt.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) (sqrt.f64 (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 a))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))

eval104.0ms (1.8%)

Memory
7.3MiB live, 83.0MiB allocated
Compiler

Compiled 13 936 to 1 666 computations (88% saved)

prune120.0ms (2.1%)

Memory
9.4MiB live, 95.9MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4825487
Fresh000
Picked101
Done000
Total4835488
Accuracy
100.0%
Counts
488 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
80.7%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
99.7%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
96.6%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 122 to 80 computations (34.4% saved)

simplify211.0ms (3.6%)

Memory
-10.9MiB live, 146.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
cost-diff128
(fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
cost-diff192
(*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
cost-diff704
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))
cost-diff0
(-.f64 a (/.f64 (*.f64 b b) a))
cost-diff0
(fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))
cost-diff0
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a))
cost-diff64
(/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a)
cost-diff0
(/.f64 b (*.f64 a a))
cost-diff0
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
cost-diff0
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
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
(/.f64 b a)
cost-diff0
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
cost-diff128
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
cost-diff384
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
Rules
8 874×lower-fma.f32
8 870×lower-fma.f64
2 726×lower-*.f32
2 718×lower-*.f64
1 116×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034235
061225
1106217
2215217
3524211
41681211
55509211
08155211
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(/.f64 b a)
b
a
(neg.f64 (/.f64 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)
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
#s(literal -1 binary64)
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a))
(/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a)
(fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))
(-.f64 a (/.f64 (*.f64 b b) a))
a
(/.f64 (*.f64 b b) a)
(*.f64 b b)
b
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
(fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
(+.f64 a b)
a
b
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
(/.f64 #s(literal 1 binary64) a)
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(/.f64 b a)
b
a
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 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)
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
#s(literal -1 binary64)
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 a (fabs.f64 a))))
(/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a)
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 a (fabs.f64 a)))
(fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))
(-.f64 a (/.f64 (*.f64 b b) a))
a
(/.f64 (*.f64 b b) a)
(*.f64 b b)
b
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(+.f64 a b)
(+.f64 b a)
a
b
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 a b) (*.f64 a a))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
(/.f64 #s(literal 1 binary64) a)

localize102.0ms (1.8%)

Memory
-5.0MiB live, 115.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
accuracy0.01171875
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
accuracy0.03125
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))
accuracy0.16796875
(*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
accuracy0
(fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))
accuracy0.01171875
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a))
accuracy0.02734375
(/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a)
accuracy16.356859372079132
(/.f64 (*.f64 b b) a)
accuracy0
(*.f64 a a)
accuracy0
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
accuracy0.01171875
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
accuracy12.84803073776583
(/.f64 b (*.f64 a a))
accuracy0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy0.01171875
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy2.2244137048504076
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy0
(/.f64 b a)
accuracy0
(neg.f64 (/.f64 b a))
accuracy0
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
accuracy0.01171875
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
Samples
61.0ms256×0valid
Compiler

Compiled 237 to 35 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-fabs: 11.0ms (24.6% of total)
ival-div: 10.0ms (22.4% of total)
ival-mult: 8.0ms (17.9% of total)
ival-sqrt: 8.0ms (17.9% of total)
ival-add: 3.0ms (6.7% of total)
ival-sub: 3.0ms (6.7% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
20.0MiB live, 58.3MiB allocated
Counts
22 → 516
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))>
#<alt (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))>
#<alt (/.f64 b a)>
#<alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))>
#<alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))>
#<alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))>
#<alt (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))>
#<alt (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))>
#<alt (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))>
#<alt (/.f64 b (*.f64 a a))>
#<alt (/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a)>
#<alt (sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a))>
#<alt (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))>
#<alt (-.f64 a (/.f64 (*.f64 b b) a))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))>
#<alt (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))>
#<alt (fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))>
#<alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))>
#<alt (neg.f64 (/.f64 b a))>
#<alt (*.f64 a a)>
#<alt (/.f64 (*.f64 b b) a)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
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#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
Calls

129 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(* (- 1 (/ b a)) (/ 1 a))
2.0ms
b
@0
(/ b (* a a))
1.0ms
b
@0
(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
1.0ms
b
@0
(+ (* (/ b a) (neg (/ b a))) 1)
1.0ms
a
@-inf
(sqrt (/ (fabs (- a (/ (* b b) a))) a))

simplify285.0ms (4.9%)

Memory
-5.5MiB live, 309.5MiB allocated
Algorithm
egg-herbie
Rules
12 520×lower-fma.f64
12 520×lower-fma.f32
2 674×lower-*.f64
2 674×lower-*.f32
1 614×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124330
12714260
26494232
323974232
467854232
081524022
Stop Event
iter limit
node limit
Counts
516 → 513
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (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 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (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)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a)
(/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a)
(/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a)
(/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(* (sqrt (/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a)) (pow (sqrt -1) 2))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (neg (+ (* -1 a) (/ (pow b 2) a))))
(fabs (neg (+ (* -1 a) (/ (pow b 2) a))))
(fabs (neg (+ (* -1 a) (/ (pow b 2) a))))
(fabs (neg (+ (* -1 a) (/ (pow b 2) a))))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(* -1 (/ (pow b 2) a))
(/ (- (pow a 2) (pow b 2)) a)
(/ (- (pow a 2) (pow b 2)) a)
(/ (- (pow a 2) (pow b 2)) a)
a
(* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
a
(* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))
(* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))
(* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))
a
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(* -1 (/ b (pow a 2)))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* -1 (/ b (pow a 2)))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (/ b (pow a 2)))
(/ (+ a (* -1 b)) (pow a 2))
(/ (+ a (* -1 b)) (pow a 2))
(/ (+ a (* -1 b)) (pow a 2))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (/ b a) 1) a))
(* -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))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
1
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 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 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))
(sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))
(sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))
(sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
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(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))

rewrite252.0ms (4.3%)

Memory
-9.4MiB live, 346.3MiB allocated
Rules
5 182×lower-/.f32
5 172×lower-/.f64
4 294×lower-*.f32
4 286×lower-*.f64
3 554×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034206
061200
1223177
21683177
08829177
Stop Event
iter limit
node limit
iter limit
Counts
22 → 858
Calls
Call 1
Inputs
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(/.f64 b a)
(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))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
(/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a)
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a))
(fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))
(-.f64 a (/.f64 (*.f64 b b) a))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
(fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
(neg.f64 (/.f64 b a))
(*.f64 a a)
(/.f64 (*.f64 b b) a)
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 b (*.f64 a a))) b))
(+.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 a))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 a a)) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 a a)) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 a a))) (*.f64 a a)))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (/.f64 b (*.f64 a a)))))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (/.f64 b (*.f64 a a)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 b (*.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b (neg.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (/.f64 b (neg.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (/.f64 (neg.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (*.f64 b b) a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (/.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b (neg.f64 b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) a) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b #s(literal -1 binary64)) a) (/.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 b (neg.f64 a)) #s(literal -1 binary64)) (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a (neg.f64 a))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (*.f64 b (neg.f64 b))) (*.f64 a a))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1 binary64)) (neg.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)) (+.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)) (neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))))
(/.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a) a)
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a a)))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (neg.f64 (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a)) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
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(/.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) #s(literal 1 binary64))) a)
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (*.f64 a (-.f64 a b))))
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (fabs.f64 (*.f64 a (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (fabs.f64 (*.f64 (-.f64 a b) a)))
(/.f64 (fabs.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (fabs.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) a)))
(/.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (-.f64 a b)))
(/.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) #s(literal -1 binary64))) a)
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))) (fabs.f64 (-.f64 a b)))
(/.f64 (fabs.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)))
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)) (fabs.f64 (+.f64 b a)))
(*.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b a))))
(*.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
(pow.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))) (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fabs.f64 (+.f64 b a))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))))
(*.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))) (sqrt.f64 (fabs.f64 (+.f64 b a))))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 a))) (/.f64 b (neg.f64 (neg.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 0 binary64) (/.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (*.f64 #s(literal 0 binary64) (/.f64 b a))))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))
(neg.f64 (/.f64 b a))
(/.f64 b (neg.f64 a))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 a) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (*.f64 #s(literal 0 binary64) (/.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a))))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b))) (neg.f64 (neg.f64 a)))
(pow.f64 (neg.f64 (/.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 a) b) #s(literal -1 binary64))
(pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 a) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 a) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (neg.f64 (/.f64 (*.f64 b b) a)))
(neg.f64 (neg.f64 (/.f64 (*.f64 b b) a)))
(/.f64 b (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 (*.f64 b b) a)
(/.f64 (neg.f64 b) (neg.f64 (/.f64 a b)))
(/.f64 (*.f64 b (neg.f64 b)) (neg.f64 a))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (*.f64 b (neg.f64 b))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 (/.f64 a b)))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (*.f64 b (neg.f64 b)))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64))) (neg.f64 (neg.f64 a)))
(pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 b a) (/.f64 b #s(literal 1 binary64)))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (*.f64 b (neg.f64 b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 b (neg.f64 a)))
(*.f64 (/.f64 (*.f64 b b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 b a))

eval265.0ms (4.6%)

Memory
23.2MiB live, 334.2MiB allocated
Compiler

Compiled 26 600 to 3 721 computations (86% saved)

prune139.0ms (2.4%)

Memory
-29.4MiB live, 253.2MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1 48231 485
Fresh000
Picked325
Done000
Total1 48551 490
Accuracy
100.0%
Counts
1 490 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
80.7%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
99.7%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
96.6%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify185.0ms (3.2%)

Memory
26.1MiB live, 260.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 b (neg.f64 a)) b a)
cost-diff0
(fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a))
cost-diff0
(/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a)
cost-diff0
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a))
cost-diff0
(/.f64 b a)
cost-diff0
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
cost-diff384
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
cost-diff128
(fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a)))
cost-diff192
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))
cost-diff384
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
Rules
10 328×lower-fma.f32
10 324×lower-fma.f64
2 430×lower-*.f32
2 428×lower-*.f64
1 286×lower--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
020134
038140
173140
2127140
3232128
4516126
51477126
63780126
76304126
08163126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
(fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(-.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
b
a
(+.f64 b a)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
b
a
#s(literal -1 binary64)
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a))
(/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a)
(fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a))
(fma.f64 (/.f64 b (neg.f64 a)) b a)
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
Outputs
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/.f64 (-.f64 a b) (*.f64 a a))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
b
a
(+.f64 b a)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/.f64 b a)
b
a
#s(literal -1 binary64)
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a)
(/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a)
(fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a))
(fabs.f64 (-.f64 a (*.f64 b (/.f64 b a))))
(fma.f64 (/.f64 b (neg.f64 a)) b a)
(-.f64 a (*.f64 b (/.f64 b a)))
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a

localize87.0ms (1.5%)

Memory
2.7MiB live, 136.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 a)
accuracy0
(fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a))
accuracy0.01171875
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a))
accuracy0.02734375
(/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a)
accuracy0
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
accuracy0
(/.f64 b a)
accuracy0
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
accuracy0.01171875
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
accuracy0
(fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a)))
accuracy0.01171875
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
accuracy0.0234375
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
accuracy0.16796875
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))
Samples
65.0ms256×0valid
Compiler

Compiled 143 to 24 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 21.0ms (48.8% of total)
ival-div: 7.0ms (16.3% of total)
ival-sqrt: 5.0ms (11.6% of total)
ival-mult: 4.0ms (9.3% of total)
ival-fabs: 3.0ms (7% of total)
ival-sub: 1.0ms (2.3% 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)

series10.0ms (0.2%)

Memory
-20.8MiB live, 18.5MiB allocated
Counts
13 → 300
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)>
#<alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))>
#<alt (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a)))>
#<alt (sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))>
#<alt (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))>
#<alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))>
#<alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))>
#<alt (/.f64 b a)>
#<alt (sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a))>
#<alt (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a)>
#<alt (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a))>
#<alt (fma.f64 (/.f64 b (neg.f64 a)) b a)>
#<alt (neg.f64 a)>
Outputs
#<alt (/ 1 a)>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (* -1 (/ b (pow a 2)))>
#<alt (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))>
#<alt (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))>
#<alt (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ b (pow a 2)))>
#<alt (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))>
#<alt (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))>
#<alt (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))>
#<alt (* -1 (/ b (pow a 2)))>
#<alt (/ (+ a (* -1 b)) (pow a 2))>
#<alt (/ (+ a (* -1 b)) (pow a 2))>
#<alt (/ (+ a (* -1 b)) (pow a 2))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ b a)) (/ b a)))>
#<alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ b a)) (/ b a)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (- a (/ (pow b 2) a))) a))>
#<alt (sqrt (/ (fabs (- a (/ (pow b 2) a))) a))>
#<alt (sqrt (/ (fabs (- a (/ (pow b 2) a))) a))>
#<alt (sqrt (/ (fabs (- a (/ (pow b 2) a))) a))>
#<alt (sqrt (/ (fabs (- a (/ (pow b 2) a))) a))>
#<alt (sqrt (/ (fabs (- a (/ (pow b 2) a))) a))>
#<alt (sqrt (/ (fabs (- a (/ (pow b 2) a))) a))>
#<alt (sqrt (/ (fabs (- a (/ (pow b 2) a))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))>
#<alt (* (sqrt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)) (pow (sqrt -1) 2))>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (- a (/ (pow b 2) a))) a)>
#<alt (/ (fabs (- a (/ (pow b 2) a))) a)>
#<alt (/ (fabs (- a (/ (pow b 2) a))) a)>
#<alt (/ (fabs (- a (/ (pow b 2) a))) a)>
#<alt (/ (fabs (- a (/ (pow b 2) a))) a)>
#<alt (/ (fabs (- a (/ (pow b 2) a))) a)>
#<alt (/ (fabs (- a (/ (pow b 2) a))) a)>
#<alt (/ (fabs (- a (/ (pow b 2) a))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)>
#<alt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)>
#<alt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)>
#<alt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)>
#<alt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (- a (/ (pow b 2) a)))>
#<alt (fabs (- a (/ (pow b 2) a)))>
#<alt (fabs (- a (/ (pow b 2) a)))>
#<alt (fabs (- a (/ (pow b 2) a)))>
#<alt (fabs (- a (/ (pow b 2) a)))>
#<alt (fabs (- a (/ (pow b 2) a)))>
#<alt (fabs (- a (/ (pow b 2) a)))>
#<alt (fabs (- a (/ (pow b 2) a)))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (+ a (* -1 (/ (pow b 2) a))))>
#<alt (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))>
#<alt (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))>
#<alt (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))>
#<alt (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))>
#<alt a>
#<alt (+ a (* -1 (/ (pow b 2) a)))>
#<alt (+ a (* -1 (/ (pow b 2) a)))>
#<alt (+ a (* -1 (/ (pow b 2) a)))>
#<alt (* -1 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ (pow b 2) a))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) a)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt a>
#<alt (* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(* (/ (- 1 (/ b a)) a) (+ b a))
1.0ms
a
@-inf
(sqrt (/ (fabs (+ (* (/ b (neg a)) b) a)) a))
1.0ms
a
@inf
(sqrt (/ (fabs (+ (* (/ b (neg a)) b) a)) a))
1.0ms
b
@0
(sqrt (/ (fabs (+ (* (/ b (neg a)) b) a)) a))
0.0ms
a
@0
(sqrt (/ (fabs (+ (* (/ b (neg a)) b) a)) a))

simplify249.0ms (4.3%)

Memory
12.7MiB live, 369.7MiB allocated
Algorithm
egg-herbie
Rules
17 012×lower-fma.f64
17 012×lower-fma.f32
2 868×lower-+.f64
2 868×lower-+.f32
2 616×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042792
12562700
26212504
322272504
479012504
080832390
Stop Event
iter limit
node limit
Counts
300 → 297
Calls
Call 1
Inputs
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(* -1 (/ b (pow a 2)))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* -1 (/ b (pow a 2)))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (/ b (pow a 2)))
(/ (+ a (* -1 b)) (pow a 2))
(/ (+ a (* -1 b)) (pow a 2))
(/ (+ a (* -1 b)) (pow a 2))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (/ b a) 1) a))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (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))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
1
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 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 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))
(sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))
(sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))
(sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (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)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(sqrt (/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a))
(* (sqrt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)) (pow (sqrt -1) 2))
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (- a (/ (pow b 2) a))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)
(/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)
(/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)
(/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))
(fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))
(fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))
(fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))
a
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* -1 (/ (pow b 2) a))
(/ (+ (* -1 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1 (pow b 2)) (pow a 2)) a)
a
(* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
a
(* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))
(* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))
(* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
Outputs
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(/.f64 (-.f64 a b) (*.f64 a a))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(/.f64 (-.f64 a b) (*.f64 a a))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(/.f64 (-.f64 a b) (*.f64 a a))
(* -1 (/ b (pow a 2)))
(/.f64 b (*.f64 a (neg.f64 a)))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (-.f64 a b) (*.f64 a a))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (-.f64 a b) (*.f64 a a))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (-.f64 a b) (*.f64 a a))
(* -1 (/ b (pow a 2)))
(/.f64 b (*.f64 a (neg.f64 a)))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(/.f64 (-.f64 a b) (*.f64 a a))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(/.f64 (-.f64 a b) (*.f64 a a))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(/.f64 (-.f64 a b) (*.f64 a a))
(* -1 (/ b (pow a 2)))
(/.f64 b (*.f64 a (neg.f64 a)))
(/ (+ a (* -1 b)) (pow a 2))
(/.f64 (-.f64 a b) (*.f64 a a))
(/ (+ a (* -1 b)) (pow a 2))
(/.f64 (-.f64 a b) (*.f64 a a))
(/ (+ a (* -1 b)) (pow a 2))
(/.f64 (-.f64 a b) (*.f64 a a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 a b) (*.f64 a a))
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 a b) (*.f64 a a))
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 a b) (*.f64 a a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 a b) (*.f64 a a))
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 a b) (*.f64 a a))
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 a b) (*.f64 a a))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 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 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- 1 (/ b a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))
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(/.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a)) a)
(/ (fabs (+ a (* -1 (/ (pow b 2) a)))) a)
(/.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a)) a)
(/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)
(/.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a)) a)
(/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)
(/.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a)) a)
(/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)
(/.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a)) a)
(/ (fabs (- (* -1 (/ (pow b 2) a)) (* -1 a))) a)
(/.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a)) a)
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- a (/ (pow b 2) a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- a (/ (pow b 2) a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- a (/ (pow b 2) a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- a (/ (pow b 2) a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- a (/ (pow b 2) a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- a (/ (pow b 2) a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- a (/ (pow b 2) a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- a (/ (pow b 2) a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (+ a (* -1 (/ (pow b 2) a))))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
(fabs (- (* -1 (/ (pow b 2) a)) (* -1 a)))
(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) a) a))
a
(+ a (* -1 (/ (pow b 2) a)))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
(+ a (* -1 (/ (pow b 2) a)))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
(+ a (* -1 (/ (pow b 2) a)))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
(* -1 (/ (pow b 2) a))
(/.f64 (*.f64 b (neg.f64 b)) a)
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ (pow b 2) a))
(/.f64 (*.f64 b (neg.f64 b)) a)
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ (pow b 2) a))
(/.f64 (*.f64 b (neg.f64 b)) a)
(/ (+ (* -1 (pow b 2)) (pow a 2)) a)
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) a)
(/ (+ (* -1 (pow b 2)) (pow a 2)) a)
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) a)
(/ (+ (* -1 (pow b 2)) (pow a 2)) a)
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) a)
a
(* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
(* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
(* a (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
a
(* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
(* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
(* -1 (* a (- (/ (pow b 2) (pow a 2)) 1)))
(fma.f64 b (/.f64 (neg.f64 b) a) a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)

rewrite297.0ms (5.1%)

Memory
-11.1MiB live, 420.8MiB allocated
Rules
4 514×lower-*.f32
4 512×lower-*.f64
4 506×lower-/.f32
4 498×lower-/.f64
3 734×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020111
038108
1155108
21172108
08288108
Stop Event
iter limit
node limit
iter limit
Counts
13 → 584
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))
(fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a)))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(/.f64 b a)
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a))
(/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a)
(fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a))
(fma.f64 (/.f64 b (neg.f64 a)) b a)
(neg.f64 a)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) a))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))) a) (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))) a))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a))) a) (/.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))) a))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 a (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(-.f64 (/.f64 a (*.f64 a a)) (/.f64 (*.f64 a (/.f64 b a)) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a)))))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a)))) (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b (*.f64 a a))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 b (*.f64 a a))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) (neg.f64 a))
(/.f64 (*.f64 a (-.f64 a b)) (*.f64 a (*.f64 a a)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 a (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)) a)
(/.f64 (-.f64 a (*.f64 a (/.f64 b a))) (*.f64 a a))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)) a))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 a (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)) (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal -1 binary64)) a)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a))) (neg.f64 a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a b))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (*.f64 a (/.f64 a b))))
(/.f64 (-.f64 (/.f64 a (/.f64 b a)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a (/.f64 b a))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 a (/.f64 b (neg.f64 a)))) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 a))) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 a (neg.f64 a))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a b))) (*.f64 (/.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 a #s(literal 1 binary64)) (*.f64 a (/.f64 a b))))
(/.f64 (-.f64 (/.f64 a (/.f64 b a)) (*.f64 (/.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 a (/.f64 b a))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (/.f64 a #s(literal 1 binary64)) b)) (*.f64 (/.f64 a #s(literal 1 binary64)) (*.f64 a a)))
(/.f64 (-.f64 a (*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 b a))) (*.f64 (/.f64 a #s(literal 1 binary64)) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 b (neg.f64 a)))) (*.f64 (/.f64 a #s(literal 1 binary64)) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 a))) (*.f64 (/.f64 a #s(literal 1 binary64)) (neg.f64 b))) (*.f64 (/.f64 a #s(literal 1 binary64)) (*.f64 a (neg.f64 a))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a b))) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (*.f64 a (/.f64 a b))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (/.f64 b a))) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 a (/.f64 b a))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)) (*.f64 (neg.f64 a) b)) (neg.f64 (*.f64 a (*.f64 a a))))
(/.f64 (-.f64 (neg.f64 a) (*.f64 (neg.f64 a) (/.f64 b a))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 a (*.f64 (neg.f64 a) (/.f64 b (neg.f64 a)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a))) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (-.f64 a (*.f64 a (/.f64 b a)))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)))) (neg.f64 a))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal -1 binary64))) (neg.f64 a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 (neg.f64 (/.f64 b (*.f64 a a))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a a))) (neg.f64 (/.f64 b (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b (*.f64 a a)))))))
(pow.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a))) (-.f64 a (/.f64 (*.f64 b (neg.f64 b)) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a)) (-.f64 (/.f64 (*.f64 b (neg.f64 b)) a) a)) (*.f64 (-.f64 (/.f64 (*.f64 b (neg.f64 b)) a) a) (*.f64 a a))) (*.f64 (-.f64 (/.f64 (*.f64 b (neg.f64 b)) a) a) (-.f64 (/.f64 (*.f64 b (neg.f64 b)) a) a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (neg.f64 (*.f64 a (*.f64 a a))))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b (neg.f64 b)) a)) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a)) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b (neg.f64 b)) a) a))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a)))) (neg.f64 (-.f64 a (/.f64 (*.f64 b (neg.f64 b)) a))))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b (neg.f64 b)) a)) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a))) (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (neg.f64 (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (neg.f64 b)) a) a) (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a)) (*.f64 a a))) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (neg.f64 (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (/.f64 (*.f64 b (neg.f64 b)) a)) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b (neg.f64 b)) a) a)))
(+.f64 #s(literal 0 binary64) (neg.f64 a))
(-.f64 #s(literal 0 binary64) a)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 0 binary64) a)))
(neg.f64 a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))
(*.f64 a #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) a)

eval149.0ms (2.6%)

Memory
10.0MiB live, 325.7MiB allocated
Compiler

Compiled 19 475 to 2 878 computations (85.2% saved)

prune120.0ms (2.1%)

Memory
-18.1MiB live, 269.2MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1 00901 009
Fresh000
Picked033
Done022
Total1 00951 014
Accuracy
100.0%
Counts
1 014 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a))
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
80.7%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
99.7%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
96.6%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 158 to 85 computations (46.2% saved)

regimes23.0ms (0.4%)

Memory
16.4MiB live, 55.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a))) a))
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 b (neg.f64 a)) b a)) a))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (+.f64 b a))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Calls

7 calls:

6.0ms
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))))
3.0ms
(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 58 to 31 computations (46.6% saved)

regimes25.0ms (0.4%)

Memory
-16.8MiB live, 25.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
Calls

7 calls:

16.0ms
a
1.0ms
b
1.0ms
(*.f64 a a)
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
1.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Results
AccuracySegmentsBranch
98.4%2a
98.4%2b
98.4%2(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
98.4%2(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
98.4%2(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
98.4%2(*.f64 a a)
98.4%2(*.f64 b b)
Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes8.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
(*.f64 a a)
1.0ms
a
1.0ms
b
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
96.6%1a
96.6%1b
96.6%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
96.6%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
96.6%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
96.6%1(*.f64 a a)
96.6%1(*.f64 b b)
Compiler

Compiled 58 to 31 computations (46.6% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1e-323
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Algorithm
egg-herbie
Rules
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02456
12656
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #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 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #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 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

soundness435.0ms (7.5%)

Memory
-24.1MiB live, 374.1MiB allocated
Rules
17 628×lower-fma.f64
17 628×lower-fma.f32
5 538×lower-*.f64
5 538×lower-*.f32
5 182×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025972
155840
2165840
3711840
43832840
08007792
0843
01443
15837
243131
3434431
0822531
034206
061200
1223177
21683177
08829177
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 118 to 67 computations (43.2% saved)

preprocess43.0ms (0.7%)

Memory
22.7MiB live, 102.3MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 150 to 82 computations (45.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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