Eccentricity of an ellipse

Time bar (total: 7.8s)

analyze40.0ms (0.5%)

Memory
-32.9MiB live, 6.9MiB allocated
Algorithm
1×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 (16.8%)

Memory
54.5MiB live, 714.3MiB allocated
Samples
828.0ms8 256×0valid
53.0ms795×0invalid
Precisions
Click to see histograms. Total time spent on operations: 541.0ms
ival-<=: 160.0ms (29.6% of total)
ival-mult: 108.0ms (19.9% of total)
ival-sub: 76.0ms (14% of total)
ival-sqrt: 72.0ms (13.3% of total)
ival-div: 54.0ms (10% of total)
ival-fabs: 40.0ms (7.4% of total)
ival-and: 16.0ms (3% of total)
exact: 11.0ms (2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess340.0ms (4.4%)

Memory
-17.7MiB live, 341.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 090×accelerator-lowering-fma.f32
9 090×accelerator-lowering-fma.f64
4 304×*-lowering-*.f32
4 304×*-lowering-*.f64
1 434×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02267
18557
233857
3252957
4643757
0813
12411
26911
319311
447811
5171811
6563111
0816710
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
Outputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
Symmetry

(abs b)

(abs a)

explain102.0ms (1.3%)

Memory
9.3MiB live, 177.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-0-(/.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/u660
↳(*.f64 b b)underflow195
↳(-.f64 (*.f64 a a) (*.f64 b b))underflow66
↳(*.f64 a a)underflow66
↳(*.f64 a a)underflow66
Confusion
Predicted +Predicted -
+660
-0190
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-00190
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0190
166
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 136 to 36 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (43.2% of total)
ival-sqrt: 5.0ms (21.6% of total)
ival-div: 3.0ms (13% of total)
ival-sub: 2.0ms (8.6% of total)
ival-fabs: 2.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

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
▶74.2%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify294.0ms (3.8%)

Memory
-34.7MiB live, 362.1MiB allocated
Algorithm
1×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×accelerator-lowering-fma.f32
9 090×accelerator-lowering-fma.f64
4 304×*-lowering-*.f32
4 304×*-lowering-*.f64
1 340×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0851
12445
26945
319345
447845
5171845
6563145
0816743
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
(fabs (/ (- (* a a) (* b b)) (* a a)))
(/ (- (* a a) (* b b)) (* a a))
(- (* a a) (* b b))
(* a a)
a
(* b b)
b
Outputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs (/ (- (* a a) (* b b)) (* a a)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/ (- (* a a) (* b b)) (* a a))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(- (* a a) (* b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(* a a)
(*.f64 a a)
a
(* b b)
(*.f64 b b)
b

localize38.0ms (0.5%)

Memory
1.8MiB live, 41.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
✓accuracy100.0%
(-.f64 (*.f64 a a) (*.f64 b b))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
✓accuracy75.0%
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Samples
15.0ms256×0valid
Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.6% of total)
ival-div: 2.0ms (23.1% of total)
ival-sqrt: 2.0ms (23.1% of total)
ival-sub: 1.0ms (11.5% of total)
ival-fabs: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/ (- (* a a) (* b b)) (* a a))>
#<alt (fabs (/ (- (* a a) (* b b)) (* a a)))>
#<alt (- (* a a) (* b b))>
#<alt (sqrt (fabs (/ (- (* a a) (* b b)) (* 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
1.0ms
b
@0
(/ (- (* a a) (* b b)) (* a a))
1.0ms
a
@0
(/ (- (* a a) (* b b)) (* a a))
1.0ms
a
@inf
(/ (- (* a a) (* b b)) (* a a))
0.0ms
b
@inf
(/ (- (* a a) (* b b)) (* a a))
0.0ms
a
@0
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

rewrite286.0ms (3.7%)

Memory
20.4MiB live, 459.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 746×accelerator-lowering-fma.f32
3 746×accelerator-lowering-fma.f64
3 566×*-lowering-*.f32
3 566×*-lowering-*.f64
2 844×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0843
15237
242531
3433431
0821731
Stop Event
1×iter limit
1×node limit
Counts
4 → 391
Calls
Call 1
Inputs
(/ (- (* a a) (* b b)) (* a a))
(fabs (/ (- (* a a) (* b b)) (* a a)))
(- (* a a) (* b b))
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (neg.f64 (*.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 (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 b b) (neg.f64 (*.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 (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a a))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 a a)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.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 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(-.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 (*.f64 b 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 (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 (*.f64 b 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 (*.f64 b 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 (*.f64 b b) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 a a))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (neg.f64 (*.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 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.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 a (*.f64 a (fma.f64 a a (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (*.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 (*.f64 a a)) (neg.f64 (fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.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)))))
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(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))) (*.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)))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (/.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))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))) (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))))))) (fma.f64 (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))))
(*.f64 (/.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 (fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))))))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a))))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) a)
(/.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 b a))))) (sqrt.f64 (neg.f64 (*.f64 a a))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a))))) (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 b a))))) #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 b a)))) (/.f64 #s(literal 1 binary64) a))

simplify402.0ms (5.1%)

Memory
-7.3MiB live, 626.8MiB allocated
Algorithm
1×egg-herbie
Rules
17 628×accelerator-lowering-fma.f32
17 628×accelerator-lowering-fma.f64
5 538×*-lowering-*.f32
5 538×*-lowering-*.f64
1 900×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025972
155840
2165840
3711840
43832840
08007792
Stop Event
1×iter limit
1×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))))

eval75.0ms (1%)

Memory
11.9MiB live, 128.2MiB allocated
Compiler

Compiled 13 840 to 1 666 computations (88% saved)

prune85.0ms (1.1%)

Memory
16.4MiB live, 133.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4816487
Fresh000
Picked101
Done000
Total4826488
Accuracy
100.0%
Counts
488 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
▶100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶75.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
▶99.7%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (+.f64 a b)))) (-.f64 a b))))
▶97.0%
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
Compiler

Compiled 154 to 102 computations (33.8% saved)

simplify254.0ms (3.3%)

Memory
-32.8MiB live, 461.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (+.f64 a b)))) (-.f64 a b))))
✓cost-diff128
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (+.f64 a b)))) (-.f64 a b)))
✓cost-diff192
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (+.f64 a b)))) (-.f64 a b))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (+.f64 a b))))
✓cost-diff0
(*.f64 (+.f64 a b) (-.f64 b a))
✓cost-diff0
(fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))
✓cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a))))
✓cost-diff320
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) 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-diff128
(fabs.f64 #s(literal 1 binary64))
✓cost-diff640
(sqrt.f64 (fabs.f64 #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
9 086×accelerator-lowering-fma.f32
9 086×accelerator-lowering-fma.f64
2 916×*-lowering-*.f32
2 916×*-lowering-*.f64
1 768×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032201
170191
2168191
3466189
41486189
53831189
08006182
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1)))
(fabs (+ (* (/ b a) (neg (/ b a))) 1))
(+ (* (/ b a) (neg (/ b a))) 1)
(/ b a)
b
a
(neg (/ b a))
1
(sqrt (fabs 1))
(fabs 1)
1
(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
(fabs (+ (* b (/ b (* a a))) -1))
(+ (* b (/ b (* a a))) -1)
b
(/ b (* a a))
(* a a)
a
-1
(* (sqrt (fabs (* (+ a b) (- b a)))) (/ 1 a))
(sqrt (fabs (* (+ a b) (- b a))))
(fabs (* (+ a b) (- b a)))
(* (+ a b) (- b a))
(+ a b)
a
b
(- b a)
(/ 1 a)
1
(sqrt (fabs (* (/ 1 (* a (/ a (+ a b)))) (- a b))))
(fabs (* (/ 1 (* a (/ a (+ a b)))) (- a b)))
(* (/ 1 (* a (/ a (+ a b)))) (- a b))
(/ 1 (* a (/ a (+ a b))))
1
(* a (/ a (+ a b)))
a
(/ a (+ a b))
(+ a b)
b
(- a b)
Outputs
(sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs (+ (* (/ b a) (neg (/ b a))) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(+ (* (/ b a) (neg (/ b a))) 1)
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/ b a)
(/.f64 b a)
b
a
(neg (/ b a))
(/.f64 b (neg.f64 a))
1
#s(literal 1 binary64)
(sqrt (fabs 1))
#s(literal 1 binary64)
(fabs 1)
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs (+ (* b (/ b (* a a))) -1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(+ (* b (/ b (* a a))) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
b
(/ b (* a a))
(/.f64 b (*.f64 a a))
(* a a)
(*.f64 a a)
a
-1
#s(literal -1 binary64)
(* (sqrt (fabs (* (+ a b) (- b a)))) (/ 1 a))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
(sqrt (fabs (* (+ a b) (- b a))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
(fabs (* (+ a b) (- b a)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
(* (+ a b) (- b a))
(*.f64 (+.f64 b a) (-.f64 b a))
(+ a b)
(+.f64 b a)
a
b
(- b a)
(-.f64 b a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(sqrt (fabs (* (/ 1 (* a (/ a (+ a b)))) (- a b))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs (* (/ 1 (* a (/ a (+ a b)))) (- a b)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* (/ 1 (* a (/ a (+ a b)))) (- a b))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/ 1 (* a (/ a (+ a b))))
(/.f64 (+.f64 b a) (*.f64 a a))
1
#s(literal 1 binary64)
(* a (/ a (+ a b)))
(/.f64 (*.f64 a a) (+.f64 b a))
a
(/ a (+ a b))
(/.f64 a (+.f64 b a))
(+ a b)
(+.f64 b a)
b
(- a b)
(-.f64 a b)

localize108.0ms (1.4%)

Memory
-2.1MiB live, 201.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 a (/.f64 a (+.f64 a b)))
✓accuracy99.9%
(/.f64 a (+.f64 a b))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (+.f64 a b))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (+.f64 a b)))) (-.f64 a b))
✓accuracy100.0%
(fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))
✓accuracy100.0%
(*.f64 (+.f64 a b) (-.f64 b a))
✓accuracy99.7%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
✓accuracy75.0%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a))))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓accuracy74.4%
(/.f64 b (*.f64 a a))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
✓accuracy100.0%
(fabs.f64 #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(neg.f64 (/.f64 b a))
✓accuracy100.0%
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
Samples
56.0ms256×0valid
Compiler

Compiled 207 to 34 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 10.0ms (25.4% of total)
ival-div: 8.0ms (20.3% of total)
ival-sqrt: 8.0ms (20.3% of total)
ival-fabs: 5.0ms (12.7% of total)
ival-add: 4.0ms (10.2% of total)
ival-sub: 2.0ms (5.1% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
16.6MiB live, 55.3MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#<alt (+ (* (/ b a) (neg (/ b a))) 1)>
#<alt (fabs (+ (* (/ b a) (neg (/ b a))) 1))>
#<alt (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1)))>
#<alt (/ b a)>
#<alt (sqrt (fabs 1))>
#<alt (fabs 1)>
#<alt (sqrt (fabs (+ (* b (/ b (* a a))) -1)))>
#<alt (fabs (+ (* b (/ b (* a a))) -1))>
#<alt (+ (* b (/ b (* a a))) -1)>
#<alt (/ b (* a a))>
#<alt (* (sqrt (fabs (* (+ a b) (- b a)))) (/ 1 a))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (* (+ a b) (- b a))>
#<alt (/ 1 (* a (/ a (+ a b))))>
#<alt (* (/ 1 (* a (/ a (+ a b)))) (- a b))>
#<alt (fabs (* (/ 1 (* a (/ a (+ a b)))) (- a b)))>
#<alt (sqrt (fabs (* (/ 1 (* a (/ a (+ a b)))) (- a b))))>
#<alt (neg (/ b a))>
#<alt (* a a)>
#<alt (/ a (+ a b))>
#<alt (* a (/ a (+ a b)))>
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 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 -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 (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- b a)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a)))))>
#<alt (sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a)))))>
#<alt (sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a)))))>
#<alt (sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a)))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* (+ a b) (- b a))))>
#<alt (sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ b (* -1 a)) (- b (* -1 a))))>
#<alt (fabs (* (+ b (* -1 a)) (- b (* -1 a))))>
#<alt (fabs (* (+ b (* -1 a)) (- b (* -1 a))))>
#<alt (fabs (* (+ b (* -1 a)) (- b (* -1 a))))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* (+ a b) (- b a)))>
#<alt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (pow b 2)>
#<alt (+ (* a (+ b (* -1 b))) (pow b 2))>
#<alt (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))>
#<alt (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))>
#<alt (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))>
#<alt (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))>
#<alt (* -1 (pow a 2))>
#<alt (+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))>
#<alt (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))>
#<alt (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))>
#<alt (/ b (pow a 2))>
#<alt (/ (+ a b) (pow a 2))>
#<alt (/ (+ a b) (pow a 2))>
#<alt (/ (+ a b) (pow a 2))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (* -1 (/ b a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ b a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ b a)) 1) a))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (/ 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 (/ 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 (/ (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 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 (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<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 (* -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 (/ a b)>
#<alt (* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))>
#<alt (* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))>
#<alt (* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))>
#<alt (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))>
#<alt (+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))>
#<alt (/ a b)>
#<alt (/ (+ a (* -1 (/ (pow a 2) b))) b)>
#<alt (/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)>
#<alt (/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)>
#<alt (/ a b)>
#<alt (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b))>
#<alt (/ (pow a 2) b)>
#<alt (* (pow a 2) (+ (* -1 (/ a (pow b 2))) (/ 1 b)))>
#<alt (* (pow a 2) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))>
#<alt (* (pow a 2) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))>
#<alt (* a (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* b (- (/ b a) 1)))>
#<alt (+ a (* b (- (* b (+ (* -1 (/ b (pow a 2))) (/ 1 a))) 1)))>
#<alt (/ (pow a 2) b)>
#<alt (/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b)>
#<alt (/ (- (+ (/ (pow a 4) (pow b 2)) (pow a 2)) (/ (pow a 3) b)) b)>
#<alt (/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (pow a 2)) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 3) b))) b)>
#<alt (/ (pow a 2) b)>
#<alt (* -1 (/ (+ (* -1 (pow a 2)) (/ (pow a 3) b)) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (* -1 (pow a 2))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (pow a 3)) b)) (* -1 (pow a 2))) b))>
Calls

117 calls:

TimeVariablePointExpression
20.0ms
a
@0
(/ b (* a a))
3.0ms
a
@0
(* (/ 1 (* a (/ a (+ a b)))) (- a b))
1.0ms
b
@0
(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
1.0ms
b
@0
(+ (* (/ b a) (neg (/ b a))) 1)
1.0ms
a
@0
(* (sqrt (fabs (* (+ a b) (- b a)))) (/ 1 a))

rewrite381.0ms (4.9%)

Memory
-0.7MiB live, 469.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 394×/-lowering-/.f32
4 394×/-lowering-/.f64
4 206×accelerator-lowering-fma.f32
4 206×accelerator-lowering-fma.f64
3 666×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032180
1161155
21294155
08568155
Stop Event
1×iter limit
1×node limit
Counts
22 → 954
Calls
Call 1
Inputs
(+ (* (/ b a) (neg (/ b a))) 1)
(fabs (+ (* (/ b a) (neg (/ b a))) 1))
(sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1)))
(/ b a)
(sqrt (fabs 1))
(fabs 1)
(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
(fabs (+ (* b (/ b (* a a))) -1))
(+ (* b (/ b (* a a))) -1)
(/ b (* a a))
(* (sqrt (fabs (* (+ a b) (- b a)))) (/ 1 a))
(sqrt (fabs (* (+ a b) (- b a))))
(fabs (* (+ a b) (- b a)))
(* (+ a b) (- b a))
(/ 1 (* a (/ a (+ a b))))
(* (/ 1 (* a (/ a (+ a b)))) (- a b))
(fabs (* (/ 1 (* a (/ a (+ a b)))) (- a b)))
(sqrt (fabs (* (/ 1 (* a (/ a (+ a b)))) (- a b))))
(neg (/ b a))
(* a a)
(/ a (+ a b))
(* a (/ a (+ a b)))
Outputs
(+.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a (neg.f64 a))) b))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 b (*.f64 a a))) b))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 b a) b)) (/.f64 #s(literal 1 binary64) a)))
(+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 b) a)) #s(literal 1 binary64))
(fma.f64 b (*.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (/.f64 a b))) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) #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 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) #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 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (neg.f64 b) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (*.f64 b (/.f64 (neg.f64 b) a)) (/.f64 #s(literal 1 binary64) a) #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 (*.f64 (neg.f64 b) b) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #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 b (/.f64 b a)) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a (neg.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (neg.f64 b)) (/.f64 #s(literal -1 binary64) 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 (neg.f64 b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 b) (/.f64 (neg.f64 b) a)) (/.f64 #s(literal -1 binary64) 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 (*.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 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (/.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 b (*.f64 a (neg.f64 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 b a) #s(literal -1 binary64)) (/.f64 b 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 (neg.f64 b) a) #s(literal -1 binary64)) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (*.f64 b 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 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b)) (*.f64 b (neg.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 (neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(/.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 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b 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 (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))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a 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 (neg.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a 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 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a 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 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b)) (*.f64 b (neg.f64 b))) (*.f64 a a)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (neg.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 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 b 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 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(/.f64 (neg.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 (neg.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (*.f64 b 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 (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (*.f64 b 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 (*.f64 b b) (*.f64 a a)) (*.f64 b b)) (*.f64 b (neg.f64 b))) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.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 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.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)))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) a)))
(/.f64 (/.f64 a (+.f64 b a)) #s(literal 1 binary64))
(/.f64 (neg.f64 a) (-.f64 (neg.f64 b) a))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 a (-.f64 (neg.f64 b) a)) #s(literal -1 binary64))
(/.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(pow.f64 (/.f64 (+.f64 b a) a) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (/.f64 a (-.f64 (neg.f64 b) a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 b a) a))))
(*.f64 (/.f64 a (+.f64 b a)) #s(literal 1 binary64))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) a)
(*.f64 (/.f64 a (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(*.f64 (/.f64 a (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(*.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 a (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(*.f64 (pow.f64 (/.f64 (+.f64 b a) a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 b a) a) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) (+.f64 b a))) #s(literal -1 binary64))))
(fabs.f64 (/.f64 (*.f64 a a) (+.f64 b a)))
(fabs.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 b) a)))
(fabs.f64 (-.f64 (/.f64 (*.f64 a a) (+.f64 b a)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) (-.f64 (neg.f64 b) a)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 a a) (+.f64 b a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 b) a)) (/.f64 (*.f64 a a) (-.f64 (neg.f64 b) a)))
(neg.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 b) a)))
(/.f64 a (/.f64 (+.f64 b a) a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b a) (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (*.f64 a a) (+.f64 b a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) (*.f64 a a))))
(/.f64 (/.f64 a (+.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 (*.f64 a a) (+.f64 b a)) #s(literal 1 binary64))
(/.f64 (neg.f64 a) (neg.f64 (/.f64 (+.f64 b a) a)))
(/.f64 (*.f64 a (neg.f64 a)) (-.f64 (neg.f64 b) a))
(/.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 b) a)) #s(literal -1 binary64))
(/.f64 (/.f64 a (-.f64 (neg.f64 b) a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 (fabs.f64 a) (fabs.f64 (/.f64 (+.f64 b a) a)))
(/.f64 (fabs.f64 (*.f64 a a)) (fabs.f64 (+.f64 b a)))
(/.f64 (fabs.f64 (*.f64 a (neg.f64 a))) (fabs.f64 (+.f64 b a)))
(pow.f64 (/.f64 (*.f64 a a) (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 b a) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a (/.f64 a (+.f64 b a)))
(*.f64 a (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (+.f64 b a)))
(*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (*.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a a) (-.f64 (neg.f64 b) a)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 a (+.f64 b a)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 a (+.f64 b a)) a)
(*.f64 (/.f64 (*.f64 a a) (+.f64 b a)) #s(literal 1 binary64))
(*.f64 (*.f64 a (neg.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(*.f64 (*.f64 a (neg.f64 a)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 b) a)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 a a))
(*.f64 (fabs.f64 (/.f64 a (+.f64 b a))) (fabs.f64 a))
(*.f64 (fabs.f64 (/.f64 a (+.f64 b a))) (fabs.f64 (neg.f64 a)))
(*.f64 (/.f64 a (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(*.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 a (-.f64 a b)))
(*.f64 (/.f64 (*.f64 a a) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(*.f64 (fabs.f64 a) (fabs.f64 (/.f64 a (+.f64 b a))))
(*.f64 (fabs.f64 (*.f64 a a)) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(*.f64 (fabs.f64 (/.f64 (*.f64 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 a a) (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 (-.f64 b a)))
(*.f64 (fabs.f64 (neg.f64 a)) (fabs.f64 (/.f64 a (+.f64 b a))))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 a (-.f64 (neg.f64 b) a)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 a a))
(*.f64 (/.f64 a (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))) (/.f64 a (fma.f64 b (+.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 a (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 a (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 a (+.f64 b a)) (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 a) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (neg.f64 a) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -1 binary64)) (/.f64 a (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 (/.f64 a (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (/.f64 a (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 (/.f64 a (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 a (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1 binary64)) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal -1 binary64)) (/.f64 (-.f64 a b) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (-.f64 a b) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (-.f64 a b) (pow.f64 a #s(literal -1/2 binary64))))

simplify371.0ms (4.8%)

Memory
-1.3MiB live, 598.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 712×accelerator-lowering-fma.f32
9 712×accelerator-lowering-fma.f64
3 700×+-lowering-+.f64
3 700×+-lowering-+.f32
3 452×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02964309
18814099
223724059
083433918
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
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)))))
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(fabs (- 1 (/ (pow b 2) (pow a 2))))
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(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))))))
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(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
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(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
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(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)
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(fabs (- (/ (pow b 2) (pow a 2)) 1))
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-1
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(/ (pow b 2) (pow a 2))
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(sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a)))))
(sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a)))))
(sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a)))))
(sqrt (fabs (* (+ b (* -1 a)) (- b (* -1 a)))))
(sqrt (fabs (* (+ a b) (- b a))))
(sqrt (fabs (* (+ a b) (- b a))))
(sqrt (fabs (* (+ a b) (- b a))))
(sqrt (fabs (* (+ a b) (- b a))))
(sqrt (fabs (* (+ a b) (- b a))))
(sqrt (fabs (* (+ a b) (- b a))))
(sqrt (fabs (* (+ a b) (- b a))))
(sqrt (fabs (* (+ a b) (- b a))))
(sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b))))))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ b (* -1 a)) (- b (* -1 a))))
(fabs (* (+ b (* -1 a)) (- b (* -1 a))))
(fabs (* (+ b (* -1 a)) (- b (* -1 a))))
(fabs (* (+ b (* -1 a)) (- b (* -1 a))))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* (+ a b) (- b a)))
(fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* -1 (* (+ a (* -1 b)) (- a (* -1 b)))))
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (pow a 2))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(/ b (pow a 2))
(/ (+ a b) (pow a 2))
(/ (+ a b) (pow a 2))
(/ (+ a b) (pow a 2))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(/ (+ 1 (/ b a)) a)
(/ (+ 1 (/ b a)) a)
(/ 1 a)
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(/ 1 a)
(+ (/ 1 a) (/ b (pow a 2)))
(+ (/ 1 a) (/ b (pow a 2)))
(+ (/ 1 a) (/ b (pow a 2)))
(/ 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))))
(/ 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 (/ (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) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(* -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)
(/ a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
1
(+ 1 (* -1 (/ b a)))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(/ a b)
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(/ a b)
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b))
(/ (pow a 2) b)
(* (pow a 2) (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(* a (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1)))
a
(+ a (* -1 b))
(+ a (* b (- (/ b a) 1)))
(+ a (* b (- (* b (+ (* -1 (/ b (pow a 2))) (/ 1 a))) 1)))
(/ (pow a 2) b)
(/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b)
(/ (- (+ (/ (pow a 4) (pow b 2)) (pow a 2)) (/ (pow a 3) b)) b)
(/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (pow a 2)) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 3) b))) b)
(/ (pow a 2) b)
(* -1 (/ (+ (* -1 (pow a 2)) (/ (pow a 3) b)) b))
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (* -1 (pow a 2))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (pow a 3)) b)) (* -1 (pow a 2))) b))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* -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))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* -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))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(* -1 (/ (pow b 2) (pow a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(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))))))
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(fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) (neg.f64 b))) a)) a))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ b a)))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) (neg.f64 b))) a)) a))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ b a)))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) (neg.f64 b))) a)) a))
(/ a b)
(/.f64 a b)
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/.f64 (fma.f64 a (/.f64 a (neg.f64 b)) a) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/.f64 (fma.f64 a (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b) a) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(/.f64 (-.f64 a (/.f64 (fma.f64 a (fma.f64 a (/.f64 a (neg.f64 b)) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) b)
(/ a b)
(/.f64 a b)
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(/.f64 (fma.f64 a (/.f64 a (neg.f64 b)) a) b)
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(/.f64 (fma.f64 a (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b) a) b)
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b))
(/.f64 (-.f64 a (/.f64 (fma.f64 a (fma.f64 a (/.f64 a (neg.f64 b)) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) b)
(/ (pow a 2) b)
(*.f64 a (/.f64 a b))
(* (pow a 2) (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(/.f64 (*.f64 a (fma.f64 a (/.f64 a (neg.f64 b)) a)) b)
(* (pow a 2) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(*.f64 a (fma.f64 a (fma.f64 a (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 a (*.f64 b (neg.f64 b)))) (/.f64 a b)))
(* (pow a 2) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 b b))) (/.f64 a b)))
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a (/.f64 (*.f64 b a) a))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(*.f64 a (fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(* a (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 a (/.f64 (+.f64 b (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) (neg.f64 b))) a)) (neg.f64 a)) a)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a (/.f64 (*.f64 b a) a))
(* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1)))
(*.f64 a (fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1)))
(fma.f64 a (/.f64 (+.f64 b (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) (neg.f64 b))) a)) (neg.f64 a)) a)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* b (- (/ b a) 1)))
(fma.f64 b (/.f64 b a) (-.f64 a b))
(+ a (* b (- (* b (+ (* -1 (/ b (pow a 2))) (/ 1 a))) 1)))
(fma.f64 b (/.f64 (fma.f64 b (/.f64 (neg.f64 b) a) b) a) (-.f64 a b))
(/ (pow a 2) b)
(*.f64 a (/.f64 a b))
(/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b)
(/.f64 (*.f64 a (fma.f64 a (/.f64 a (neg.f64 b)) a)) b)
(/ (- (+ (/ (pow a 4) (pow b 2)) (pow a 2)) (/ (pow a 3) b)) b)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 a (neg.f64 b)) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)
(/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (pow a 2)) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 3) b))) b)
(/.f64 (fma.f64 a a (neg.f64 (/.f64 (fma.f64 a (*.f64 a a) (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) b) (pow.f64 a #s(literal 4 binary64))) b)) b))) b)
(/ (pow a 2) b)
(*.f64 a (/.f64 a b))
(* -1 (/ (+ (* -1 (pow a 2)) (/ (pow a 3) b)) b))
(/.f64 (*.f64 a (fma.f64 a (/.f64 a (neg.f64 b)) a)) b)
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (* -1 (pow a 2))) b))
(/.f64 (fma.f64 a (fma.f64 a (/.f64 a (neg.f64 b)) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (pow a 3)) b)) (* -1 (pow a 2))) b))
(/.f64 (fma.f64 a a (neg.f64 (/.f64 (fma.f64 a (*.f64 a a) (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) b) (pow.f64 a #s(literal 4 binary64))) b)) b))) b)

eval242.0ms (3.1%)

Memory
-0.2MiB live, 309.5MiB allocated
Compiler

Compiled 30 124 to 4 253 computations (85.9% saved)

prune135.0ms (1.7%)

Memory
-3.7MiB live, 233.3MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1 46751 472
Fresh101
Picked325
Done000
Total1 47171 478
Accuracy
100.0%
Counts
1 478 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.0%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
▶100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓75.0%
(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 (+.f64 b a) a) a) (-.f64 a b))))
▶93.9%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b))))
▶99.7%
(sqrt.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 a b))))
▶97.0%
#s(literal 1 binary64)
Compiler

Compiled 143 to 94 computations (34.3% saved)

simplify228.0ms (2.9%)

Memory
31.0MiB live, 221.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 a b))))
✓cost-diff128
(fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 a b)))
✓cost-diff192
(*.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 a b))
✓cost-diff704
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a))
✓cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (+.f64 b a) a) a) (-.f64 a b))))
✓cost-diff128
(fabs.f64 (*.f64 (/.f64 (/.f64 (+.f64 b a) a) a) (-.f64 a b)))
✓cost-diff192
(*.f64 (/.f64 (/.f64 (+.f64 b a) a) a) (-.f64 a b))
✓cost-diff384
(/.f64 (/.f64 (+.f64 b a) a) a)
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff0
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)))
✓cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b))
✓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))
Rules
6 726×accelerator-lowering-fma.f32
6 726×accelerator-lowering-fma.f64
3 580×*-lowering-*.f32
3 580×*-lowering-*.f64
1 518×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024178
159172
2161172
3401172
41552170
55760170
08178161
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(sqrt (fabs (+ (* (/ b a) (/ b a)) -1)))
(fabs (+ (* (/ b a) (/ b a)) -1))
(+ (* (/ b a) (/ b a)) -1)
(/ b a)
b
a
-1
1
(sqrt (fabs (* (/ 1 a) (- a b))))
(fabs (* (/ 1 a) (- a b)))
(* (/ 1 a) (- a b))
(/ 1 a)
1
a
(- a b)
b
(sqrt (fabs (* (/ (/ (+ b a) a) a) (- a b))))
(fabs (* (/ (/ (+ b a) a) a) (- a b)))
(* (/ (/ (+ b a) a) a) (- a b))
(/ (/ (+ b a) a) a)
(/ (+ b a) a)
(+ b a)
b
a
(- a b)
(sqrt (fabs (* (* (/ (+ b a) a) (/ 1 a)) (- a b))))
(fabs (* (* (/ (+ b a) a) (/ 1 a)) (- a b)))
(* (* (/ (+ b a) a) (/ 1 a)) (- a b))
(* (/ (+ b a) a) (/ 1 a))
(/ (+ b a) a)
(+ b a)
b
a
(/ 1 a)
1
(- a b)
Outputs
(sqrt (fabs (+ (* (/ b a) (/ b a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs (+ (* (/ b a) (/ b a)) -1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(+ (* (/ b a) (/ b a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/ b a)
(/.f64 b a)
b
a
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(sqrt (fabs (* (/ 1 a) (- a b))))
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fabs (* (/ 1 a) (- a b)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* (/ 1 a) (- a b))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(- a b)
(-.f64 a b)
b
(sqrt (fabs (* (/ (/ (+ b a) a) a) (- a b))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs (* (/ (/ (+ b a) a) a) (- a b)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* (/ (/ (+ b a) a) a) (- a b))
(neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/ (/ (+ b a) a) a)
(/.f64 (+.f64 b a) (*.f64 a a))
(/ (+ b a) a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(- a b)
(-.f64 a b)
(sqrt (fabs (* (* (/ (+ b a) a) (/ 1 a)) (- a b))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs (* (* (/ (+ b a) a) (/ 1 a)) (- a b)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* (* (/ (+ b a) a) (/ 1 a)) (- a b))
(neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* (/ (+ b a) a) (/ 1 a))
(/.f64 (+.f64 b a) (*.f64 a a))
(/ (+ b a) a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(- a b)
(-.f64 a b)

localize126.0ms (1.6%)

Memory
-41.1MiB live, 134.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 a b))))
✓accuracy100.0%
(/.f64 (+.f64 b a) a)
✓accuracy99.9%
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a))
✓accuracy99.7%
(*.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 a b))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (+.f64 b a) a) a) (-.f64 a b))))
✓accuracy100.0%
(/.f64 (+.f64 b a) a)
✓accuracy99.9%
(/.f64 (/.f64 (+.f64 b a) a) a)
✓accuracy99.7%
(*.f64 (/.f64 (/.f64 (+.f64 b a) a) a) (-.f64 a b))
✓accuracy100.0%
(-.f64 a b)
✓accuracy100.0%
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b))))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b))
✓accuracy100.0%
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Samples
68.0ms256×0valid
Compiler

Compiled 193 to 26 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 7.0ms (25.1% of total)
ival-mult: 7.0ms (25.1% of total)
ival-sqrt: 6.0ms (21.5% of total)
ival-fabs: 4.0ms (14.3% of total)
ival-add: 2.0ms (7.2% of total)
ival-sub: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
18 → 420
Calls
Call 1
Inputs
#<alt (+ (* (/ b a) (/ b a)) -1)>
#<alt (sqrt (fabs (+ (* (/ b a) (/ b a)) -1)))>
#<alt (fabs (+ (* (/ b a) (/ b a)) -1))>
#<alt (/ b a)>
#<alt (* (/ 1 a) (- a b))>
#<alt (sqrt (fabs (* (/ 1 a) (- a b))))>
#<alt (fabs (* (/ 1 a) (- a b)))>
#<alt (/ 1 a)>
#<alt (/ (/ (+ b a) a) a)>
#<alt (* (/ (/ (+ b a) a) a) (- a b))>
#<alt (fabs (* (/ (/ (+ b a) a) a) (- a b)))>
#<alt (sqrt (fabs (* (/ (/ (+ b a) a) a) (- a b))))>
#<alt (* (/ (+ b a) a) (/ 1 a))>
#<alt (* (* (/ (+ b a) a) (/ 1 a)) (- a b))>
#<alt (fabs (* (* (/ (+ b a) a) (/ 1 a)) (- a b)))>
#<alt (sqrt (fabs (* (* (/ (+ b a) a) (/ 1 a)) (- a b))))>
#<alt (- a b)>
#<alt (/ (+ b a) a)>
Outputs
#<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 (* -1 (/ b a))>
#<alt (/ (+ a (* -1 b)) a)>
#<alt (/ (+ a (* -1 b)) a)>
#<alt (/ (+ a (* -1 b)) a)>
#<alt 1>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (+ 1 (* -1 (/ b a)))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ 1 b) (/ 1 a)))>
#<alt (* b (- (/ 1 b) (/ 1 a)))>
#<alt (* b (- (/ 1 b) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (- (/ 1 a) (/ 1 b))))>
#<alt (* -1 (* b (- (/ 1 a) (/ 1 b))))>
#<alt (* -1 (* b (- (/ 1 a) (/ 1 b))))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (* -1 (/ (+ b (* -1 a)) a))))>
#<alt (sqrt (fabs (* -1 (/ (+ b (* -1 a)) a))))>
#<alt (sqrt (fabs (* -1 (/ (+ b (* -1 a)) a))))>
#<alt (sqrt (fabs (* -1 (/ (+ b (* -1 a)) a))))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (- a b) a)))>
#<alt (sqrt (fabs (/ (+ a (* -1 b)) a)))>
#<alt (sqrt (fabs (/ (+ a (* -1 b)) a)))>
#<alt (sqrt (fabs (/ (+ a (* -1 b)) a)))>
#<alt (sqrt (fabs (/ (+ a (* -1 b)) a)))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (* -1 (/ (+ b (* -1 a)) a)))>
#<alt (fabs (* -1 (/ (+ b (* -1 a)) a)))>
#<alt (fabs (* -1 (/ (+ b (* -1 a)) a)))>
#<alt (fabs (* -1 (/ (+ b (* -1 a)) a)))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (- a b) a))>
#<alt (fabs (/ (+ a (* -1 b)) a))>
#<alt (fabs (/ (+ a (* -1 b)) a))>
#<alt (fabs (/ (+ a (* -1 b)) a))>
#<alt (fabs (/ (+ a (* -1 b)) 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)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (/ 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 (/ 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 (/ b (pow a 2))>
#<alt (/ (+ a b) (pow a 2))>
#<alt (/ (+ a b) (pow a 2))>
#<alt (/ (+ a b) (pow a 2))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (* -1 (/ b a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ b a)) 1) a))>
#<alt (* -1 (/ (- (* -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) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (/ 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 (/ 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 (/ b (pow a 2))>
#<alt (/ (+ a b) (pow a 2))>
#<alt (/ (+ a b) (pow a 2))>
#<alt (/ (+ a b) (pow a 2))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (* -1 (/ b a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ b a)) 1) a))>
#<alt (* -1 (/ (- (* -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) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))>
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (/ b a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
Calls

105 calls:

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

rewrite367.0ms (4.7%)

Memory
19.4MiB live, 451.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 950×accelerator-lowering-fma.f32
5 950×accelerator-lowering-fma.f64
4 840×*-lowering-*.f32
4 840×*-lowering-*.f64
3 920×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024132
1126126
21048118
08766118
Stop Event
1×iter limit
1×node limit
Counts
18 → 2 015
Calls
Call 1
Inputs
(+ (* (/ b a) (/ b a)) -1)
(sqrt (fabs (+ (* (/ b a) (/ b a)) -1)))
(fabs (+ (* (/ b a) (/ b a)) -1))
(/ b a)
(* (/ 1 a) (- a b))
(sqrt (fabs (* (/ 1 a) (- a b))))
(fabs (* (/ 1 a) (- a b)))
(/ 1 a)
(/ (/ (+ b a) a) a)
(* (/ (/ (+ b a) a) a) (- a b))
(fabs (* (/ (/ (+ b a) a) a) (- a b)))
(sqrt (fabs (* (/ (/ (+ b a) a) a) (- a b))))
(* (/ (+ b a) a) (/ 1 a))
(* (* (/ (+ b a) a) (/ 1 a)) (- a b))
(fabs (* (* (/ (+ b a) a) (/ 1 a)) (- a b)))
(sqrt (fabs (* (* (/ (+ b a) a) (/ 1 a)) (- a b))))
(- a b)
(/ (+ b a) a)
Outputs
(+.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 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(+.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 a a)) (neg.f64 b))))
(+.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (neg.f64 (*.f64 (neg.f64 b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(+.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 b a) (*.f64 a a)) (neg.f64 b))))
(+.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(+.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (*.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (/.f64 b (neg.f64 a))))
(+.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (*.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 a a)) (neg.f64 b)) #s(literal -1 binary64)))
(+.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (*.f64 (*.f64 (neg.f64 b) (/.f64 (+.f64 b a) (*.f64 a a))) #s(literal -1 binary64)))
(+.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (*.f64 (/.f64 b (neg.f64 a)) (/.f64 (-.f64 (neg.f64 b) a) a)))
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(*.f64 (*.f64 a (/.f64 (-.f64 (neg.f64 b) a) a)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal -1 binary64) (-.f64 a b)))
(*.f64 (*.f64 (+.f64 b a) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (+.f64 b a) a)))
(*.f64 (/.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 (+.f64 b a) a))
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a a) (*.f64 b (+.f64 b a))))))
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))

simplify425.0ms (5.4%)

Memory
-13.8MiB live, 421.8MiB allocated
Algorithm
1×egg-herbie
Rules
17 832×accelerator-lowering-fma.f32
17 832×accelerator-lowering-fma.f64
3 214×*-lowering-*.f32
3 214×*-lowering-*.f64
2 122×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01093134
12913104
27533032
326333032
479173032
081572870
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
-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)
(* -1 (/ b a))
(/ (+ a (* -1 b)) a)
(/ (+ a (* -1 b)) a)
(/ (+ a (* -1 b)) a)
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(* -1 (/ b a))
(* b (- (/ 1 b) (/ 1 a)))
(* b (- (/ 1 b) (/ 1 a)))
(* b (- (/ 1 b) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (* -1 (/ (+ b (* -1 a)) a))))
(sqrt (fabs (* -1 (/ (+ b (* -1 a)) a))))
(sqrt (fabs (* -1 (/ (+ b (* -1 a)) a))))
(sqrt (fabs (* -1 (/ (+ b (* -1 a)) a))))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (- a b) a)))
(sqrt (fabs (/ (+ a (* -1 b)) a)))
(sqrt (fabs (/ (+ a (* -1 b)) a)))
(sqrt (fabs (/ (+ a (* -1 b)) a)))
(sqrt (fabs (/ (+ a (* -1 b)) a)))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (* -1 (/ (+ b (* -1 a)) a)))
(fabs (* -1 (/ (+ b (* -1 a)) a)))
(fabs (* -1 (/ (+ b (* -1 a)) a)))
(fabs (* -1 (/ (+ b (* -1 a)) a)))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (- a b) a))
(fabs (/ (+ a (* -1 b)) a))
(fabs (/ (+ a (* -1 b)) a))
(fabs (/ (+ a (* -1 b)) a))
(fabs (/ (+ a (* -1 b)) a))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(+ (/ 1 a) (/ b (pow a 2)))
(+ (/ 1 a) (/ b (pow a 2)))
(+ (/ 1 a) (/ b (pow a 2)))
(/ 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))))
(/ 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))))
(/ b (pow a 2))
(/ (+ a b) (pow a 2))
(/ (+ a b) (pow a 2))
(/ (+ a b) (pow a 2))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(/ (+ 1 (/ b a)) a)
(/ (+ 1 (/ b a)) a)
(/ 1 a)
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(* -1 (/ (- (* -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) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(/ 1 a)
(+ (/ 1 a) (/ b (pow a 2)))
(+ (/ 1 a) (/ b (pow a 2)))
(+ (/ 1 a) (/ b (pow a 2)))
(/ 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))))
(/ 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))))
(/ b (pow a 2))
(/ (+ a b) (pow a 2))
(/ (+ a b) (pow a 2))
(/ (+ a b) (pow a 2))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(/ (+ 1 (/ b a)) a)
(/ (+ 1 (/ b a)) a)
(/ 1 a)
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(* -1 (/ (- (* -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) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
1
(+ 1 (/ b a))
(+ 1 (/ b a))
(+ 1 (/ b a))
(/ b a)
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(/ b a)
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(/ b a)
(/ (+ a b) a)
(/ (+ a b) a)
(/ (+ a b) a)
1
(+ 1 (/ b a))
(+ 1 (/ b a))
(+ 1 (/ b a))
1
(+ 1 (/ b a))
(+ 1 (/ b a))
(+ 1 (/ b a))
Outputs
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
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(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(/ (+ a b) a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ (+ a b) a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ (+ a b) a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))

eval452.0ms (5.8%)

Memory
37.6MiB live, 489.9MiB allocated
Compiler

Compiled 70 203 to 6 809 computations (90.3% saved)

prune278.0ms (3.6%)

Memory
14.8MiB live, 368.6MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2 98722 989
Fresh000
Picked145
Done022
Total2 98882 996
Accuracy
100.0%
Counts
2 996 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.0%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
✓100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓75.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶8.2%
(sqrt.f64 (fabs.f64 (/.f64 b (neg.f64 a))))
✓99.7%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (+.f64 b a) a) a) (-.f64 a b))))
▶96.7%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
✓99.7%
(sqrt.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 a b))))
✓97.0%
#s(literal 1 binary64)
Compiler

Compiled 91 to 61 computations (33% saved)

simplify13.0ms (0.2%)

Memory
-27.8MiB live, 11.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 a)
✓cost-diff0
(/.f64 b (neg.f64 a))
✓cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 b (neg.f64 a))))
✓cost-diff128
(fabs.f64 (/.f64 b (neg.f64 a)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff128
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a))
✓cost-diff640
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
✓cost-diff1024
(*.f64 (/.f64 #s(literal 1 binary64) a) a)
Rules
100×*-lowering-*.f32
100×*-lowering-*.f64
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
50×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
13025
24725
38325
411525
513325
615625
718225
823625
929225
1031625
1132525
032525
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(sqrt (fabs (* (/ 1 a) a)))
(fabs (* (/ 1 a) a))
(* (/ 1 a) a)
(/ 1 a)
1
a
(sqrt (fabs (/ b (neg a))))
(fabs (/ b (neg a)))
(/ b (neg a))
b
(neg a)
a
Outputs
(sqrt (fabs (* (/ 1 a) a)))
#s(literal 1 binary64)
(fabs (* (/ 1 a) a))
#s(literal 1 binary64)
(* (/ 1 a) a)
#s(literal 1 binary64)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(sqrt (fabs (/ b (neg a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(fabs (/ b (neg a)))
(fabs.f64 (/.f64 b a))
(/ b (neg a))
(/.f64 b (neg.f64 a))
b
(neg a)
(neg.f64 a)
a

localize38.0ms (0.5%)

Memory
-22.4MiB live, 39.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 b (neg.f64 a))
✓accuracy100.0%
(neg.f64 a)
✓accuracy100.0%
(fabs.f64 (/.f64 b (neg.f64 a)))
✓accuracy99.8%
(sqrt.f64 (fabs.f64 (/.f64 b (neg.f64 a))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) a)
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
✓accuracy100.0%
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) a)
Samples
20.0ms256×0valid
Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (32.9% of total)
ival-sqrt: 3.0ms (24.7% of total)
ival-mult: 2.0ms (16.4% of total)
ival-fabs: 2.0ms (16.4% of total)
ival-neg: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
8 → 132
Calls
Call 1
Inputs
#<alt (* (/ 1 a) a)>
#<alt (sqrt (fabs (* (/ 1 a) a)))>
#<alt (fabs (* (/ 1 a) a))>
#<alt (/ 1 a)>
#<alt (fabs (/ b (neg a)))>
#<alt (sqrt (fabs (/ b (neg a))))>
#<alt (/ b (neg a))>
#<alt (neg a)>
Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 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)>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (fabs (* -1 (/ b a)))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -1 (/ b a))))>
#<alt (sqrt (fabs (* -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 (* -1 (/ b a))>
#<alt (* -1 (/ b 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)>
#<alt (* -1 a)>
Calls

33 calls:

TimeVariablePointExpression
0.0ms
b
@0
(/ b (neg a))
0.0ms
b
@0
(sqrt (fabs (/ b (neg a))))
0.0ms
a
@0
(/ b (neg a))
0.0ms
a
@inf
(sqrt (fabs (/ b (neg a))))
0.0ms
b
@inf
(sqrt (fabs (/ b (neg a))))

rewrite264.0ms (3.4%)

Memory
15.5MiB live, 286.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 540×accelerator-lowering-fma.f32
3 540×accelerator-lowering-fma.f64
2 082×*-lowering-*.f32
2 082×*-lowering-*.f64
1 406×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01124
15121
217821
382617
4612017
0810917
Stop Event
1×iter limit
1×node limit
Counts
8 → 1 831
Calls
Call 1
Inputs
(* (/ 1 a) a)
(sqrt (fabs (* (/ 1 a) a)))
(fabs (* (/ 1 a) a))
(/ 1 a)
(fabs (/ b (neg a)))
(sqrt (fabs (/ b (neg a))))
(/ b (neg a))
(neg a)
Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (neg.f64 (log.f64 a)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 a)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 a)) #s(literal 1/2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) a))
(-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 a (/.f64 a (*.f64 a (*.f64 a a))) #s(literal 0 binary64))
(fma.f64 a (/.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 a (/.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 a (/.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
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(*.f64 (fabs.f64 (neg.f64 (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (fabs.f64 (/.f64 b (*.f64 a (*.f64 a a)))) (*.f64 a a))
(*.f64 (fabs.f64 (/.f64 b (*.f64 a a))) a)
(*.f64 (/.f64 (fabs.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 b b))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 (neg.f64 (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 (neg.f64 (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (pow.f64 a #s(literal -1/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (*.f64 (fabs.f64 b) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 (fabs.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a))
(*.f64 (*.f64 (fabs.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)
(*.f64 (*.f64 (neg.f64 (fabs.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (neg.f64 (fabs.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(*.f64 (*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 (neg.f64 (fabs.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a))
(*.f64 (*.f64 (neg.f64 (fabs.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))
(*.f64 (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (pow.f64 a #s(literal -1/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (*.f64 a a))
(*.f64 (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) a) a)
(*.f64 (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1 binary64)) (*.f64 a a))
(*.f64 (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) a)
(*.f64 (*.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) a)
(*.f64 (/.f64 (fabs.f64 b) (*.f64 a (*.f64 a a))) (*.f64 a a))
(*.f64 (/.f64 (fabs.f64 b) (*.f64 a a)) a)
(*.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a))) b) a)
(*.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 b)) a)
(*.f64 (/.f64 (neg.f64 (fabs.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (neg.f64 (fabs.f64 b)) (*.f64 a (*.f64 a a))) (*.f64 a a))
(*.f64 (/.f64 (neg.f64 (fabs.f64 b)) (*.f64 a a)) a)
(*.f64 (/.f64 (neg.f64 b) (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a))
(*.f64 (/.f64 (neg.f64 b) (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (/.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a))
(*.f64 (/.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 b (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a))
(*.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) (*.f64 b b))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 a b)) b)) (/.f64 a b))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 a a)) b)) (*.f64 a a))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a a) b)) a)
(*.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (/.f64 b a))
(*.f64 (/.f64 (fabs.f64 b) (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a))
(*.f64 (/.f64 (fabs.f64 b) (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
a
(+.f64 a #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) a)
(exp.f64 (log.f64 a))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 a)) #s(literal -1/2 binary64)))
(fabs.f64 a)
(-.f64 a #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) a)
(fma.f64 #s(literal 1 binary64) a #s(literal 0 binary64))
(fma.f64 a #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 a #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 a (/.f64 (*.f64 a a) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) a #s(literal 0 binary64))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal 0 binary64))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) a #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a a) (*.f64 a a)) a #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a a) (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 a a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a a) (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 0 binary64))
(neg.f64 a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (fabs.f64 (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 a)))
(/.f64 a #s(literal 1 binary64))
(/.f64 a #s(literal -1 binary64))
(/.f64 a (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 a a) a)
(/.f64 (*.f64 a (*.f64 a a)) (*.f64 a a))
(/.f64 (fabs.f64 (*.f64 a (*.f64 a a))) (*.f64 a a))
(/.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))
(/.f64 (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a a)))
(/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))
(/.f64 (fabs.f64 (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a))
(/.f64 (fabs.f64 (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 a a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a))
(/.f64 (*.f64 (fabs.f64 (*.f64 a (*.f64 a a))) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (*.f64 (sqrt.f64 a) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))
(/.f64 (*.f64 (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 a (*.f64 a a))))
(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))
(/.f64 (*.f64 (fabs.f64 (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (/.f64 (sqrt.f64 a) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 (/.f64 (sqrt.f64 a) (pow.f64 a #s(literal -1/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))
(pow.f64 a #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -2 binary64))
(pow.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 a #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 a)))
(pow.f64 (/.f64 (*.f64 a a) (fabs.f64 (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) a)
(*.f64 a #s(literal 1 binary64))
(*.f64 a #s(literal -1 binary64))
(*.f64 a (/.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (fabs.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 a a)))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) a)
(*.f64 (/.f64 (*.f64 a a) (*.f64 a a)) a)
(*.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) a))
(*.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a a) (fabs.f64 (*.f64 a (*.f64 a a)))) (*.f64 a a))
(*.f64 (*.f64 (*.f64 a a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)
(*.f64 (/.f64 (*.f64 a a) (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 a (*.f64 a (*.f64 a a))))

simplify32.0ms (0.4%)

Memory
0.6MiB live, 40.6MiB allocated
Algorithm
1×egg-herbie
Rules
100×*-lowering-*.f32
100×*-lowering-*.f64
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
56×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010456
121408
234408
349408
471408
599408
6120408
7145408
8199408
9329408
10460408
11468408
12468408
0468408
Stop Event
1×iter limit
1×saturated
Counts
132 → 132
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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)
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(fabs (* -1 (/ b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -1 (/ b a))))
(sqrt (fabs (* -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))
(* -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
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(fabs (* -1 (/ b a)))
(fabs.f64 (/.f64 b a))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(sqrt (fabs (* -1 (/ b a))))
(sqrt.f64 (fabs.f64 (/.f64 b a)))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b 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)

eval289.0ms (3.7%)

Memory
17.4MiB live, 269.0MiB allocated
Compiler

Compiled 32 560 to 4 587 computations (85.9% saved)

prune270.0ms (3.4%)

Memory
15.4MiB live, 349.5MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1 96121 963
Fresh000
Picked112
Done066
Total1 96291 971
Accuracy
100.0%
Counts
1 971 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.0%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
8.2%
(sqrt.f64 (/.f64 b a))
✓100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓75.0%
(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 (+.f64 b a) a) a) (-.f64 a b))))
72.8%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 a (*.f64 a a)) a)))
✓96.7%
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
✓99.7%
(sqrt.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 a b))))
✓97.0%
#s(literal 1 binary64)
Compiler

Compiled 254 to 134 computations (47.2% saved)

regimes33.0ms (0.4%)

Memory
-9.7MiB live, 30.2MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
(sqrt.f64 (/.f64 b a))
(sqrt.f64 (fabs.f64 (/.f64 b (neg.f64 a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 a (*.f64 a a)) a)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
(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 (fabs.f64 (*.f64 (/.f64 (/.f64 (+.f64 b a) a) a) (-.f64 a b))))
(sqrt.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 a b))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (+.f64 a b)))) (-.f64 a b))))
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Calls

7 calls:

8.0ms
(*.f64 a a)
5.0ms
b
5.0ms
a
4.0ms
(*.f64 b b)
4.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
100.0%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
100.0%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
100.0%1(*.f64 a a)
100.0%1(*.f64 b b)
Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes28.0ms (0.4%)

Memory
-16.4MiB live, 22.6MiB allocated
Accuracy

Total -57.9b remaining (-2993%)

Threshold costs -57.9b (-2993%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
(sqrt.f64 (/.f64 b a))
(sqrt.f64 (fabs.f64 (/.f64 b (neg.f64 a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 a (*.f64 a a)) a)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
Outputs
#s(literal 1 binary64)
Calls

7 calls:

12.0ms
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))))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
97.0%1a
97.0%1b
97.0%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
97.0%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
97.0%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
97.0%1(*.f64 a a)
97.0%1(*.f64 b b)
Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify7.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(literal 1 binary64)
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
#s(literal 1 binary64)

soundness411.0ms (5.3%)

Memory
-3.6MiB live, 188.8MiB allocated
Rules
17 628×accelerator-lowering-fma.f32
17 628×accelerator-lowering-fma.f64
5 538×*-lowering-*.f32
5 538×*-lowering-*.f64
4 394×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025972
155840
2165840
3711840
43832840
08007792
032180
1161155
21294155
08568155
0843
15237
242531
3433431
0821731
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 45 to 31 computations (31.1% saved)

preprocess23.0ms (0.3%)

Memory
2.7MiB live, 41.3MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 104 to 60 computations (42.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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