Eccentricity of an ellipse

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory
28.5MiB live, 28.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%37.5%62.5%0%0%0%0
0%0%37.5%62.5%0%0%0%1
0%0%18.7%62.5%0%18.7%0%2
0%0%9.4%62.5%0%28.1%0%3
0%0%9.4%62.5%0%28.1%0%4
0%0%7%62.5%0%30.4%0%5
20%1.2%4.7%62.5%0%31.6%0%6
25%1.2%3.5%62.5%0%32.8%0%7
40%1.8%2.6%62.5%0%33.1%0%8
51.9%2%1.9%62.5%0%33.5%0%9
64.7%2.4%1.3%62.5%0%33.7%0%10
72.9%2.6%1%62.5%0%33.9%0%11
80.2%2.7%0.7%62.5%0%34%0%12
Compiler

Compiled 25 to 16 computations (36% saved)

sample1.2s (15.2%)

Memory
21.8MiB live, 1 417.3MiB allocated
Samples
747.0ms8 256×0valid
55.0ms795×0invalid
Precisions
Click to see histograms. Total time spent on operations: 528.0ms
ival-mult: 128.0ms (24.2% of total)
ival-sqrt: 107.0ms (20.3% of total)
ival-div: 87.0ms (16.5% of total)
ival-<=: 82.0ms (15.5% of total)
ival-fabs: 48.0ms (9.1% of total)
ival-sub: 45.0ms (8.5% of total)
ival-and: 18.0ms (3.4% of total)
exact: 11.0ms (2.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain139.0ms (1.8%)

Memory
-5.6MiB live, 155.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
560-1(2.802460252055378e-162 4.9589155246311273e-166)(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
00-0-(*.f64 a a)
00-0-a
00-0-b
00-0-(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
00-0-(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
00-0-(-.f64 (*.f64 a a) (*.f64 b b))
00-0-(*.f64 b b)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))u/u550
(*.f64 b b)underflow173
(-.f64 (*.f64 a a) (*.f64 b b))underflow55
(*.f64 a a)underflow55
(*.f64 a a)underflow55
Confusion
Predicted +Predicted -
+551
-0200
Precision
1.0
Recall
0.9821428571428571
Confusion?
Predicted +Predicted MaybePredicted -
+5501
-00200
Precision?
1.0
Recall?
0.9821428571428571
Freqs
test
numberfreq
0201
155
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms512×0valid
Compiler

Compiled 121 to 28 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (32.6% of total)
ival-div: 3.0ms (16.3% of total)
ival-fabs: 3.0ms (16.3% of total)
ival-sqrt: 3.0ms (16.3% of total)
ival-sub: 2.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess258.0ms (3.3%)

Memory
20.9MiB live, 262.3MiB allocated
Algorithm
egg-herbie
Rules
9 090×lower-fma.f64
9 090×lower-fma.f32
4 304×lower-*.f32
4 300×lower-*.f64
1 434×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02267
18557
233857
3252957
4643757
0813
01413
13011
27511
319911
448211
5172311
6564511
0818110
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
Symmetry

(abs b)

(abs a)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify206.0ms (2.6%)

Memory
4.1MiB live, 125.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
cost-diff128
(-.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
cost-diff192
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Rules
9 090×lower-fma.f64
9 090×lower-fma.f32
4 304×lower-*.f32
4 300×lower-*.f64
1 340×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0851
01451
13045
27545
319945
448245
5172345
6564545
0818143
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 a a)
a
(*.f64 b b)
b

localize26.0ms (0.3%)

Memory
-14.1MiB live, 24.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
accuracy0.015625
(-.f64 (*.f64 a a) (*.f64 b b))
accuracy0.03125
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
accuracy13.455839613479034
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Samples
16.0ms256×0valid
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% of total)
ival-div: 2.0ms (22.7% of total)
ival-sqrt: 2.0ms (22.7% of total)
ival-sub: 1.0ms (11.3% of total)
ival-fabs: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor inf b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor -inf b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
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))))

simplify303.0ms (3.9%)

Memory
8.3MiB live, 237.1MiB allocated
Algorithm
egg-herbie
Rules
17 628×lower-fma.f64
17 628×lower-fma.f32
5 538×lower-*.f64
5 538×lower-*.f32
1 900×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite379.0ms (4.8%)

Memory
-31.8MiB live, 204.3MiB allocated
Rules
3 746×lower-fma.f64
3 746×lower-fma.f32
3 566×lower-*.f32
3 562×lower-*.f64
2 844×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

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

eval86.0ms (1.1%)

Memory
-18.5MiB live, 94.2MiB allocated
Compiler

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

prune85.0ms (1.1%)

Memory
14.4MiB live, 98.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4798487
Fresh000
Picked101
Done000
Total4808488
Accuracy
100.0%
Counts
488 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
79.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
99.9%
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)))
79.0%
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
78.1%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
97.5%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 204 to 130 computations (36.3% saved)

simplify275.0ms (3.5%)

Memory
10.5MiB live, 202.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 a b) a)
cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
cost-diff128
(fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))
cost-diff960
(/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))
cost-diff0
(-.f64 a b)
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
cost-diff128
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a))))
cost-diff192
(*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))
cost-diff0
(*.f64 (+.f64 a b) (-.f64 a b))
cost-diff0
(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
cost-diff0
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
cost-diff0
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
cost-diff0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
cost-diff0
(/.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
15 504×lower-fma.f32
15 502×lower-fma.f64
3 248×lower-*.f32
3 242×lower-*.f64
2 216×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031234
055222
197216
2199216
3380216
4775216
52220216
66709216
08154210
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(/.f64 b a)
b
a
(neg.f64 (/.f64 b a))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 a b)
a
b
(-.f64 a b)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a))))
(*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))
(-.f64 a b)
a
b
(/.f64 (+.f64 a b) (*.f64 a a))
(+.f64 a b)
(*.f64 a a)
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
(fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))
(/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))
(/.f64 (+.f64 a b) a)
(+.f64 a b)
a
b
(/.f64 a (-.f64 a b))
(-.f64 a b)
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/.f64 b a)
b
a
(neg.f64 (/.f64 b a))
(/.f64 b (neg.f64 a))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))))
(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 a b)
(+.f64 b a)
a
b
(-.f64 a b)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(-.f64 a b)
a
b
(/.f64 (+.f64 a b) (*.f64 a a))
(/.f64 (+.f64 b a) (*.f64 a a))
(+.f64 a b)
(+.f64 b a)
(*.f64 a a)
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(/.f64 (+.f64 a b) a)
(/.f64 (+.f64 b a) a)
(+.f64 a b)
(+.f64 b a)
a
b
(/.f64 a (-.f64 a b))
(-.f64 a b)

localize99.0ms (1.3%)

Memory
13.1MiB live, 175.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(/.f64 a (-.f64 a b))
accuracy0.0234375
(/.f64 (+.f64 a b) a)
accuracy0.03125
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
accuracy0.045253759768442016
(/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))
accuracy0
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a))))
accuracy0.03125
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
accuracy0.1328125
(*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))
accuracy13.6647766566013
(/.f64 (+.f64 a b) (*.f64 a a))
accuracy0
(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy0.00390625
(*.f64 (+.f64 a b) (-.f64 a b))
accuracy0.01953125
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
accuracy13.452452833088369
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
accuracy0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy0.03125
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy1.6433846379361974
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy0
(neg.f64 (/.f64 b a))
accuracy0
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
accuracy0.00390625
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
accuracy0.03125
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
Samples
56.0ms256×0valid
Compiler

Compiled 233 to 32 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 12.0ms (29.8% of total)
ival-sqrt: 8.0ms (19.9% of total)
ival-mult: 7.0ms (17.4% of total)
ival-fabs: 5.0ms (12.4% of total)
ival-add: 4.0ms (9.9% of total)
ival-sub: 2.0ms (5% 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)

series68.0ms (0.9%)

Memory
-4.6MiB live, 77.4MiB allocated
Counts
22 → 528
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 a b) (-.f64 a b)) (patch (*.f64 (+.f64 a b) (-.f64 a b)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a))) (patch (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a))) #<representation binary64>) () ())
#s(alt (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))) (patch (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a))))) #<representation binary64>) () ())
#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))) (patch (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))) (patch (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 a b) a) (patch (/.f64 (+.f64 a b) a) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 b) (#s(alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 a) (#s(alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 a) (#s(alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 a) (#s(alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 a) (#s(alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf a) (#s(alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf a) (#s(alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf a) (#s(alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf a) (#s(alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf a) (#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a b) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor inf a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) a) (taylor inf a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) a) (taylor inf a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ b a)) a) (taylor inf a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor -inf a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ b a)) 1) a)) (taylor -inf a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ b a)) 1) a)) (taylor -inf a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ b a)) 1) a)) (taylor -inf a) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ b (pow a 2))) (taylor 0 b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ b (pow a 2))) (taylor 0 b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 a) (/ b (pow a 2))) (taylor 0 b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (* a b)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (* a b)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (* a b)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (* a b)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (* a b)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (* a b)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (+.f64 a b) (*.f64 a a)) (patch (/.f64 (+.f64 a b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a b)) (taylor 0 a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ b a)) (taylor inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))) (taylor inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ b a)) (taylor -inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a))) (taylor -inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a))) (taylor -inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ b a)) (taylor 0 b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2))))) (taylor 0 b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a b)) (taylor inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (* -1 (/ (pow a 2) b))) b) (taylor inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 a) (* -1 (/ (pow a 3) (pow b 2)))) (/ (pow a 2) b)) b) (taylor inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 a) (* -1 (/ (pow a 4) (pow b 3)))) (+ (/ (pow a 2) b) (/ (pow a 3) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a b)) (taylor -inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (/ (pow a 2) b)) b)) (taylor -inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) b)) (taylor -inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) b)) (taylor -inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
Calls

132 calls:

TimeVariablePointExpression
8.0ms
b
@inf
(+ (* (/ b a) (neg (/ b a))) 1)
3.0ms
a
@-inf
(/ (+ a b) a)
2.0ms
a
@0
(/ (sqrt (fabs (* (+ a b) (- a b)))) a)
1.0ms
a
@-inf
(/ (sqrt (fabs (* (+ a b) (- a b)))) a)
1.0ms
b
@0
(+ (* (/ b a) (neg (/ b a))) 1)

simplify266.0ms (3.4%)

Memory
-8.0MiB live, 308.4MiB allocated
Algorithm
egg-herbie
Rules
15 634×lower-fma.f64
15 634×lower-fma.f32
3 956×lower-*.f64
3 956×lower-*.f32
2 164×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02234514
16404370
217594316
379304316
080024104
Stop Event
iter limit
node limit
Counts
528 → 525
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(pow a 2)
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -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 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 (/ (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))))
(/ 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))
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)))
(* -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))
(/ 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 (/ a b))
(* a (- (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (- (* a (- (* -1 (/ 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 (/ b a))
(- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a)))
(- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (/ b a))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a)))
1
(+ 1 (/ b a))
(+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))
(+ 1 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a))))
(* -1 (/ a b))
(/ (+ (* -1 a) (* -1 (/ (pow a 2) b))) b)
(/ (- (+ (* -1 a) (* -1 (/ (pow a 3) (pow b 2)))) (/ (pow a 2) b)) b)
(/ (- (+ (* -1 a) (* -1 (/ (pow a 4) (pow b 3)))) (+ (/ (pow a 2) b) (/ (pow a 3) (pow b 2)))) b)
(* -1 (/ a b))
(* -1 (/ (+ a (/ (pow a 2) b)) b))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) b))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) b))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(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)))
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(-.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 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(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 (/ (* (+ 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))))
(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 (/ (* (+ 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 (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/ 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))
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))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ (+ a b) (pow a 2))
(/.f64 (+.f64 b a) (*.f64 a a))
(/ (+ a b) (pow a 2))
(/.f64 (+.f64 b a) (*.f64 a a))
(/ (+ a b) (pow a 2))
(/.f64 (+.f64 b a) (*.f64 a a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ b a)) a)
(/.f64 (+.f64 b a) (*.f64 a a))
(/ (+ 1 (/ b a)) a)
(/.f64 (+.f64 b a) (*.f64 a a))
(/ (+ 1 (/ b a)) a)
(/.f64 (+.f64 b a) (*.f64 a a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(/.f64 (+.f64 b a) (*.f64 a a))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(/.f64 (+.f64 b a) (*.f64 a a))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(/.f64 (+.f64 b a) (*.f64 a a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ b (pow a 2)))
(/.f64 (+.f64 b a) (*.f64 a a))
(+ (/ 1 a) (/ b (pow a 2)))
(/.f64 (+.f64 b a) (*.f64 a a))
(+ (/ 1 a) (/ b (pow a 2)))
(/.f64 (+.f64 b a) (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (+.f64 b a) (*.f64 a a))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (+.f64 b a) (*.f64 a a))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (+.f64 b a) (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (+.f64 b a) (*.f64 a a))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (+.f64 b a) (*.f64 a a))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(/.f64 (+.f64 b a) (*.f64 a a))
(* -1 (/ a b))
(/.f64 a (neg.f64 b))
(* a (- (* -1 (/ a (pow b 2))) (/ 1 b)))
(neg.f64 (/.f64 (fma.f64 a (/.f64 a b) a) b))
(* a (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))
(*.f64 a (fma.f64 a (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* a (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(*.f64 a (fma.f64 a (fma.f64 a (/.f64 (neg.f64 a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a)))
(fma.f64 b (/.f64 (+.f64 b a) (*.f64 a a)) #s(literal 1 binary64))
(- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) b)) a)) a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a)))
(fma.f64 b (/.f64 (+.f64 b a) (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) b)) a)) a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))
(fma.f64 b (/.f64 (+.f64 b a) (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) b)) a)) a))
(* -1 (/ a b))
(/.f64 a (neg.f64 b))
(/ (+ (* -1 a) (* -1 (/ (pow a 2) b))) b)
(neg.f64 (/.f64 (fma.f64 a (/.f64 a b) a) b))
(/ (- (+ (* -1 a) (* -1 (/ (pow a 3) (pow b 2)))) (/ (pow a 2) b)) b)
(neg.f64 (/.f64 (fma.f64 (/.f64 a b) (fma.f64 a (/.f64 a b) a) a) b))
(/ (- (+ (* -1 a) (* -1 (/ (pow a 4) (pow b 3)))) (+ (/ (pow a 2) b) (/ (pow a 3) (pow b 2)))) b)
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 a b) (fma.f64 a (/.f64 a b) a) a)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b b)))) b)
(* -1 (/ a b))
(/.f64 a (neg.f64 b))
(* -1 (/ (+ a (/ (pow a 2) b)) b))
(neg.f64 (/.f64 (fma.f64 a (/.f64 a b) a) b))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) b))
(neg.f64 (/.f64 (fma.f64 (/.f64 a b) (fma.f64 a (/.f64 a b) a) a) b))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) b))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 a a (/.f64 (fma.f64 a (*.f64 a a) (/.f64 (pow.f64 a #s(literal 4 binary64)) b)) b))) b) a) b)

rewrite345.0ms (4.4%)

Memory
4.9MiB live, 274.9MiB allocated
Rules
4 694×lower-/.f32
4 682×lower-/.f64
4 004×lower-fma.f32
4 002×lower-fma.f64
3 548×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031206
055194
1195164
21395164
08439164
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 590
Calls
Call 1
Inputs
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(/.f64 b a)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))
(fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
(-.f64 a b)
(/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))
(fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
(/.f64 (+.f64 a b) a)
(neg.f64 (/.f64 b a))
(/.f64 (+.f64 a b) (*.f64 a a))
(/.f64 a (-.f64 a b))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 b a) b)) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) #s(literal 1 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) (+.f64 (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 a a)) a) (*.f64 (/.f64 (+.f64 b a) (*.f64 a a)) (neg.f64 b)))
(+.f64 (*.f64 a (/.f64 (+.f64 b a) (*.f64 a a))) (*.f64 (neg.f64 b) (/.f64 (+.f64 b a) (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(-.f64 (/.f64 (+.f64 b a) a) (/.f64 (/.f64 b a) (/.f64 a (+.f64 b 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 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) (+.f64 (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) #s(literal -1 binary64))))
(-.f64 (*.f64 a (/.f64 (+.f64 b a) (*.f64 a a))) (/.f64 b (/.f64 (*.f64 a a) (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))) (*.f64 a a)) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 a a)) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 a a))) (*.f64 a a)))
(-.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (-.f64 a b))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (-.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))) (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (-.f64 a b))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))) (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (-.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (-.f64 a b))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (-.f64 a b))))
(-.f64 (/.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 a (/.f64 a (-.f64 a b)))) (/.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (*.f64 a (/.f64 a (-.f64 a b)))))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 b a)) (/.f64 (*.f64 a a) (+.f64 b a))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (/.f64 (*.f64 a a) (+.f64 b a))))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a))) (/.f64 (*.f64 a a) (+.f64 b a))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b a) (*.f64 a a))) (/.f64 (*.f64 a a) (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (/.f64 a (-.f64 a b))))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 a (-.f64 a b)) (neg.f64 a))) (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 a b)) (neg.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a (+.f64 (neg.f64 a) b))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))))))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 b (neg.f64 b))) (*.f64 a a)))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 b (neg.f64 b))) (*.f64 a a)))))
(-.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 (*.f64 b b) (*.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 b (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 b (/.f64 (/.f64 b (neg.f64 a)) a) #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 a (/.f64 (+.f64 b a) (*.f64 a a)) (*.f64 (neg.f64 b) (/.f64 (+.f64 b a) (*.f64 a a))))
(fma.f64 (/.f64 b a) (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (neg.f64 (*.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 (+.f64 b a) (*.f64 a a)) a (*.f64 (/.f64 (+.f64 b a) (*.f64 a a)) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a b))) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b b) (neg.f64 (*.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 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b (neg.f64 b)) a) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (*.f64 b (/.f64 b a)) (/.f64 #s(literal -1 binary64) a) #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 b (neg.f64 a)) (neg.f64 b)) (/.f64 #s(literal -1 binary64) 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 b (neg.f64 a))) (/.f64 #s(literal -1 binary64) 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 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 (+.f64 b a) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (-.f64 a b)) (neg.f64 a)) (-.f64 (neg.f64 a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 b (neg.f64 b))) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b b (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a a (*.f64 b a)) (fma.f64 a a (*.f64 (neg.f64 b) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 a a) (+.f64 b a))) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))) (*.f64 a a)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b b (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 a a)) (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) a) (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (+.f64 b a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (neg.f64 (*.f64 a a))) (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (neg.f64 a) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (/.f64 (*.f64 a a) (+.f64 b a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) a) (*.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)) (/.f64 (+.f64 b a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (neg.f64 (*.f64 a a))) (*.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)) (-.f64 (neg.f64 a) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a a) (+.f64 b a)) (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a a) (+.f64 b a)) (fma.f64 b (+.f64 b a) (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) (+.f64 b a)) (*.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) (fma.f64 b (+.f64 b a) (*.f64 a a))) (*.f64 (+.f64 b a) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b a)) (*.f64 (/.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 b (+.f64 b a) (*.f64 a a))) (*.f64 (/.f64 (+.f64 b a) a) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 a a)) (+.f64 b a)) (*.f64 (-.f64 (neg.f64 a) b) (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a))) (*.f64 (-.f64 (neg.f64 a) b) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) (/.f64 a (-.f64 a b))) (-.f64 (neg.f64 a) b)))
(/.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 (*.f64 b b) (*.f64 a a))) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (/.f64 (+.f64 b a) (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (*.f64 (/.f64 (+.f64 b a) (*.f64 a a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))) (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b b (*.f64 a a))) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (+.f64 b a) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (*.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)) (/.f64 (+.f64 b a) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (-.f64 (neg.f64 a) b) (/.f64 (-.f64 a b) a))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (/.f64 (*.f64 a a) (+.f64 b a))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (*.f64 a a) (+.f64 b a)) (+.f64 b a)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (-.f64 a b)))
(/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))
(/.f64 (+.f64 b a) (neg.f64 (neg.f64 (*.f64 a (/.f64 a (-.f64 a b))))))
(/.f64 (+.f64 b a) (neg.f64 (*.f64 (/.f64 a (-.f64 a b)) (neg.f64 a))))
(/.f64 (+.f64 b a) (neg.f64 (*.f64 (neg.f64 a) (/.f64 a (-.f64 a b)))))
(/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))
(/.f64 (/.f64 (+.f64 b a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 (/.f64 (+.f64 b a) a) (/.f64 a (-.f64 a b)))
(/.f64 (+.f64 (neg.f64 a) b) (neg.f64 (/.f64 (*.f64 a a) (+.f64 b a))))
(/.f64 (-.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) (/.f64 a (-.f64 a b))))
(/.f64 (-.f64 (neg.f64 a) b) (neg.f64 (*.f64 a (/.f64 a (-.f64 a b)))))
(/.f64 (-.f64 (neg.f64 a) b) (*.f64 (/.f64 a (-.f64 a b)) (neg.f64 a)))
(/.f64 (/.f64 (-.f64 (neg.f64 a) b) a) (/.f64 a (+.f64 (neg.f64 a) b)))
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(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (neg.f64 a) b)))
(*.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (+.f64 b a))
(*.f64 (/.f64 a (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 (-.f64 a b) a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 a b) a) #s(literal -1/2 binary64)))

eval485.0ms (6.2%)

Memory
10.4MiB live, 396.9MiB allocated
Compiler

Compiled 53 997 to 4 473 computations (91.7% saved)

prune240.0ms (3%)

Memory
-11.7MiB live, 231.7MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2 34732 350
Fresh123
Picked145
Done000
Total2 34992 358
Accuracy
100.0%
Counts
2 358 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
6.0%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a)
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
79.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)))
79.0%
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
78.1%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
97.5%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 183 to 116 computations (36.6% saved)

simplify201.0ms (2.6%)

Memory
19.7MiB live, 151.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b a)
cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))))
cost-diff128
(fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b)))))
cost-diff576
(/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))
cost-diff0
(*.f64 b (/.f64 b (*.f64 a a)))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
cost-diff0
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
cost-diff128
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
cost-diff0
(/.f64 b (*.f64 a a))
cost-diff0
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
cost-diff0
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
cost-diff0
(*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))
cost-diff0
(fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))))
cost-diff0
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a)
cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)))
cost-diff128
(fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))
cost-diff192
(*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b))
cost-diff384
(/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)
Rules
8 556×lower-fma.f32
8 554×lower-fma.f64
2 820×lower-*.f32
2 810×lower-*.f64
2 282×lower-/.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
033260
060272
198272
2177272
3357272
4731272
51434242
63488240
08161240
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))
(/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)
(*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b))
(/.f64 (+.f64 b a) a)
(+.f64 b a)
b
a
(-.f64 a b)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))))
(fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))
(*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))
(+.f64 a b)
a
b
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
#s(literal 1 binary64)
(*.f64 b (/.f64 b (*.f64 a a)))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))))
(fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b)))))
(/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))
(+.f64 b a)
b
a
(*.f64 a (/.f64 a (-.f64 a b)))
(/.f64 a (-.f64 a b))
(-.f64 a b)
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b))
(-.f64 a (*.f64 b (/.f64 b a)))
(/.f64 (+.f64 b a) a)
(+.f64 b a)
b
a
(-.f64 a b)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) #s(approx (- a b) (neg.f64 b))))) a)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) #s(approx (- a b) (neg.f64 b)))))
(fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))
(fabs.f64 (*.f64 (+.f64 b a) #s(approx (- a b) (neg.f64 b))))
(*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))
(*.f64 (+.f64 b a) #s(approx (- a b) (neg.f64 b)))
(+.f64 a b)
(+.f64 b a)
a
b
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
#s(literal 1 binary64)
(*.f64 b (/.f64 b (*.f64 a a)))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 b a)
b
a
(*.f64 a (/.f64 a (-.f64 a b)))
(/.f64 a (-.f64 a b))
(-.f64 a b)

localize151.0ms (1.9%)

Memory
-21.7MiB live, 100.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))
accuracy0.01953125
(/.f64 a (-.f64 a b))
accuracy0.03125
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))))
accuracy0.03515625
(*.f64 a (/.f64 a (-.f64 a b)))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
accuracy0.03125
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
accuracy0.1953125
(*.f64 b (/.f64 b (*.f64 a a)))
accuracy13.785479547561687
(/.f64 b (*.f64 a a))
accuracy0
(*.f64 a a)
accuracy0
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
accuracy0.03125
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
accuracy13.785479547561687
(/.f64 b (*.f64 a a))
accuracy0.00390625
(*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))
accuracy0.01953125
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a)
accuracy13.452452833088369
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))))
accuracy61.86101928729724
#s(approx (- a b) (neg.f64 b))
accuracy0.0234375
(/.f64 (+.f64 b a) a)
accuracy0.0234375
(/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)
accuracy0.02734375
(*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b))
accuracy0.03125
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)))
Samples
64.0ms256×0valid
Compiler

Compiled 250 to 33 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 18.0ms (37.9% of total)
ival-div: 9.0ms (18.9% of total)
ival-sqrt: 8.0ms (16.8% of total)
ival-fabs: 6.0ms (12.6% of total)
ival-add: 4.0ms (8.4% of total)
ival-sub: 2.0ms (4.2% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory
-8.2MiB live, 30.2MiB allocated
Counts
25 → 588
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (patch (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) (patch (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())
#s(alt (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))) (patch (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))) (patch (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 b (*.f64 a a)) (patch (/.f64 b (*.f64 a a)) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))) (patch (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (*.f64 b (/.f64 b (*.f64 a a))) (patch (*.f64 b (/.f64 b (*.f64 a a))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b)))) (patch (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))) (patch (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b)))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b)))))) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 b a) a) (patch (/.f64 (+.f64 b a) a) #<representation binary64>) () ())
#s(alt #s(approx (- a b) (neg.f64 b)) (patch #s(approx (- a b) (neg.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) (patch (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (pow b 2) a)) (taylor -inf b) (#s(alt (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (patch (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (patch (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (patch (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (patch (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (patch (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (patch (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) #<representation binary64>) () ())) ())
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#s(alt (* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))) (taylor inf a) (#s(alt (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (patch (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (patch (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) (patch (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) (patch (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) (patch (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) (patch (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) #<representation binary64>) () ())) ())
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#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) (patch (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) #<representation binary64>) () ())) ())
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#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) (patch (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) #<representation binary64>) () ())) ())
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#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) (patch (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)) #<representation binary64>) () ())) ())
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#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1))) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1))) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ a (* b (+ 1 (/ b a)))) (taylor 0 b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ a (* b (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2))))))) (taylor 0 b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow a 2) b)) (taylor inf b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b) (taylor inf b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow a 4) (pow b 2))) (* -1 (pow a 2))) (/ (pow a 3) b)) b) (taylor inf b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (* -1 (pow a 2))) (+ (/ (pow a 3) b) (/ (pow a 4) (pow b 2)))) b) (taylor inf b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow a 2) b)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ (pow a 3) b) (pow a 2)) b)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (* -1 (pow a 4))) b)) (pow a 3)) b)) (pow a 2)) b)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 a (-.f64 a b))) (patch (*.f64 a (/.f64 a (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a b)) (taylor 0 a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -1 (/ a (pow b 2))) (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ b a)) (taylor inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))) (taylor inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ b a)) (taylor -inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a))) (taylor -inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a))) (taylor -inf a) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ b a)) (taylor 0 b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2))))) (taylor 0 b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a b)) (taylor inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (* -1 (/ (pow a 2) b))) b) (taylor inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 a) (* -1 (/ (pow a 3) (pow b 2)))) (/ (pow a 2) b)) b) (taylor inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 a) (* -1 (/ (pow a 4) (pow b 3)))) (+ (/ (pow a 2) b) (/ (pow a 3) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a b)) (taylor -inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (/ (pow a 2) b)) b)) (taylor -inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) b)) (taylor -inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) b)) (taylor -inf b) (#s(alt (/.f64 a (-.f64 a b)) (patch (/.f64 a (-.f64 a b)) #<representation binary64>) () ())) ())
Calls

147 calls:

TimeVariablePointExpression
0.0ms
b
@inf
(/ b (* a a))
0.0ms
b
@-inf
(/ b (* a a))
0.0ms
b
@0
(/ b (* a a))
0.0ms
a
@0
(/ b (* a a))
0.0ms
b
@inf
(* a (/ a (- a b)))

simplify285.0ms (3.6%)

Memory
33.5MiB live, 271.1MiB allocated
Algorithm
egg-herbie
Rules
10 852×lower-fma.f64
10 852×lower-fma.f32
3 864×lower-+.f64
3 864×lower-+.f32
2 428×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03055646
19005027
225784972
082554708
Stop Event
iter limit
node limit
Counts
588 → 573
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)) (* 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)))
a
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* -1 (/ (pow b 2) a))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
a
(* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
a
(* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
(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) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(pow a 2)
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 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))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(fabs (- 1 (/ (pow b 2) (pow a 2))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
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)))
(/ (- (pow a 2) (pow b 2)) (pow a 2))
(/ (- (pow a 2) (pow b 2)) (pow a 2))
(/ (- (pow a 2) (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))))
(/ (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 b 2) (pow a 2))
(/ (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 b 2) (pow a 2))
(/ (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 b 2) (pow a 2))
(/ (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 b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (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))))
(* -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)))))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
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))
(* -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)))))
(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)
(* -1 (/ (pow a 2) b))
(* (pow a 2) (- (* -1 (/ a (pow b 2))) (/ 1 b)))
(* (pow a 2) (- (* a (- (* -1 (/ 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 (/ b a)))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))))
(* a (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1)))
a
(+ a b)
(+ a (* b (+ 1 (/ b a))))
(+ a (* b (+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))))
(* -1 (/ (pow a 2) b))
(/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b)
(/ (- (+ (* -1 (/ (pow a 4) (pow b 2))) (* -1 (pow a 2))) (/ (pow a 3) b)) b)
(/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (* -1 (pow a 2))) (+ (/ (pow a 3) b) (/ (pow a 4) (pow b 2)))) b)
(* -1 (/ (pow a 2) b))
(* -1 (/ (+ (/ (pow a 3) b) (pow a 2)) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (* -1 (pow a 4))) b)) (pow a 3)) b)) (pow a 2)) b))
(* -1 (/ a b))
(* a (- (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (- (* a (- (* -1 (/ 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 (/ b a))
(- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a)))
(- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (/ b a))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a)))
1
(+ 1 (/ b a))
(+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))
(+ 1 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a))))
(* -1 (/ a b))
(/ (+ (* -1 a) (* -1 (/ (pow a 2) b))) b)
(/ (- (+ (* -1 a) (* -1 (/ (pow a 3) (pow b 2)))) (/ (pow a 2) b)) b)
(/ (- (+ (* -1 a) (* -1 (/ (pow a 4) (pow b 3)))) (+ (/ (pow a 2) b) (/ (pow a 3) (pow b 2)))) b)
(* -1 (/ a b))
(* -1 (/ (+ a (/ (pow a 2) b)) b))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) b))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) b))
Outputs
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 b) (neg.f64 (*.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 b) (neg.f64 (*.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 b) (neg.f64 (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
a
(+ a (* -1 (/ (pow b 2) a)))
(fma.f64 (neg.f64 b) (/.f64 b a) a)
(+ a (* -1 (/ (pow b 2) a)))
(fma.f64 (neg.f64 b) (/.f64 b a) a)
(+ a (* -1 (/ (pow b 2) a)))
(fma.f64 (neg.f64 b) (/.f64 b a) a)
(* -1 (/ (pow b 2) a))
(/.f64 (*.f64 b b) (neg.f64 a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ (pow b 2) a))
(/.f64 (*.f64 b b) (neg.f64 a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 (*.f64 b b) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ (pow b 2) a))
(/.f64 (*.f64 b b) (neg.f64 a))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)
(/.f64 (*.f64 b b) (neg.f64 a))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a)
a
(* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))
a
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 a (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
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(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
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-1
#s(literal -1 binary64)
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-1
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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b
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a
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(/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 b (*.f64 b (neg.f64 b)))) (fma.f64 a (fma.f64 a (/.f64 a b) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)))) b)
(* -1 (/ (pow a 2) b))
(*.f64 a (/.f64 a (neg.f64 b)))
(* -1 (/ (+ (/ (pow a 3) b) (pow a 2)) b))
(neg.f64 (*.f64 (/.f64 a b) (fma.f64 a (/.f64 a b) a)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b))
(neg.f64 (/.f64 (fma.f64 a (fma.f64 a (/.f64 a b) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (* -1 (pow a 4))) b)) (pow a 3)) b)) (pow a 2)) b))
(/.f64 (fma.f64 a a (/.f64 (fma.f64 a (*.f64 a a) (/.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 5 binary64)) b)) b)) b)) (neg.f64 b))
(* -1 (/ a b))
(/.f64 a (neg.f64 b))
(* a (- (* -1 (/ a (pow b 2))) (/ 1 b)))
(/.f64 (fma.f64 a (/.f64 a b) a) (neg.f64 b))
(* a (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b)))
(*.f64 a (fma.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* a (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(*.f64 a (fma.f64 a (fma.f64 a (neg.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a)))
(fma.f64 b (/.f64 (+.f64 b a) (*.f64 a a)) #s(literal 1 binary64))
(- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (/.f64 (+.f64 b a) (*.f64 a a)) b) a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a)))
(fma.f64 b (/.f64 (+.f64 b a) (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (/.f64 (+.f64 b a) (*.f64 a a)) b) a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (* b (+ (/ 1 a) (/ b (pow a 2)))))
(fma.f64 b (/.f64 (+.f64 b a) (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* b (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (/.f64 (+.f64 b a) (*.f64 a a)) b) a))
(* -1 (/ a b))
(/.f64 a (neg.f64 b))
(/ (+ (* -1 a) (* -1 (/ (pow a 2) b))) b)
(/.f64 (fma.f64 a (/.f64 a b) a) (neg.f64 b))
(/ (- (+ (* -1 a) (* -1 (/ (pow a 3) (pow b 2)))) (/ (pow a 2) b)) b)
(/.f64 (fma.f64 (/.f64 a b) (fma.f64 a (/.f64 a b) a) a) (neg.f64 b))
(/ (- (+ (* -1 a) (* -1 (/ (pow a 4) (pow b 3)))) (+ (/ (pow a 2) b) (/ (pow a 3) (pow b 2)))) b)
(/.f64 (+.f64 a (/.f64 (fma.f64 a (fma.f64 a (/.f64 a b) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (neg.f64 b))
(* -1 (/ a b))
(/.f64 a (neg.f64 b))
(* -1 (/ (+ a (/ (pow a 2) b)) b))
(/.f64 (fma.f64 a (/.f64 a b) a) (neg.f64 b))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) b))
(/.f64 (fma.f64 (/.f64 a b) (fma.f64 a (/.f64 a b) a) a) (neg.f64 b))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) b))
(/.f64 (+.f64 a (/.f64 (fma.f64 a (fma.f64 a (/.f64 a b) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (neg.f64 b))

rewrite318.0ms (4%)

Memory
6.2MiB live, 360.4MiB allocated
Rules
5 102×lower-/.f32
5 090×lower-/.f64
3 854×lower-*.f32
3 844×lower-*.f64
2 740×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033226
060224
1196224
21374215
08512215
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 384
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)
(*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b))
(fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))))
(fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))
(*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 b (/.f64 b (*.f64 a a)))
(/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))
(fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b)))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))))
(+.f64 b a)
(/.f64 (+.f64 b a) a)
#s(approx (- a b) (neg.f64 b))
(*.f64 a a)
(*.f64 a (/.f64 a (-.f64 a b)))
(/.f64 a (-.f64 a b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (neg.f64 b) a) (/.f64 (-.f64 a b) (*.f64 a a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (-.f64 (neg.f64 b) a) (/.f64 (-.f64 a b) (*.f64 a a))))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b))) (/.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 a b))) (/.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) b))) (*.f64 (-.f64 (neg.f64 b) a) (/.f64 (-.f64 a b) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (*.f64 b b) (*.f64 a a)))
(-.f64 (/.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 a b))) (/.f64 (*.f64 b b) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 a b))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 b a))) (/.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 b a))))
(neg.f64 (*.f64 (-.f64 (neg.f64 b) a) (/.f64 (-.f64 a b) (*.f64 a a))))
(/.f64 (+.f64 b a) (/.f64 (*.f64 a a) (-.f64 a b)))
(/.f64 (/.f64 (+.f64 b a) a) (/.f64 a (-.f64 a b)))
(/.f64 (-.f64 a b) (*.f64 (/.f64 a (+.f64 b a)) a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (fma.f64 b (-.f64 b a) (*.f64 a a))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (fma.f64 a (-.f64 a b) (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 a b) (/.f64 (*.f64 a a) (-.f64 a b))) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (/.f64 (*.f64 a a) (-.f64 a b))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (*.f64 a a) (-.f64 a b))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 a a) (-.f64 a b))) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 a)) (*.f64 (-.f64 (neg.f64 b) a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 a b) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 a b) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (-.f64 a b) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (-.f64 a b) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (-.f64 (neg.f64 b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 (+.f64 b a) (*.f64 a a))))
(/.f64 (-.f64 (neg.f64 b) a) (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) b)))
(/.f64 (+.f64 (neg.f64 a) b) (neg.f64 (*.f64 (/.f64 a (+.f64 b a)) a)))
(/.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)) (neg.f64 a))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (/.f64 (*.f64 a a) (-.f64 a b))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (*.f64 a a) (-.f64 a b))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 a (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (-.f64 a b) (/.f64 (*.f64 a a) (-.f64 a b))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 a b)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) (/.f64 (*.f64 a a) (-.f64 a b))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 (-.f64 (neg.f64 b) a) (-.f64 a b)) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (/.f64 (*.f64 a a) (-.f64 a b)))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (*.f64 a a) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (*.f64 (-.f64 a b) (/.f64 (*.f64 a a) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 a a) (-.f64 a b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))) (neg.f64 (/.f64 a (+.f64 b a))))
(/.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (neg.f64 (/.f64 a (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 a b) (*.f64 a a))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 a b) (*.f64 a a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (-.f64 a b) (*.f64 a a))) (-.f64 a b))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (-.f64 a b) (*.f64 a a))) (-.f64 b a))
(/.f64 (*.f64 (-.f64 (neg.f64 b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (neg.f64 a))
(/.f64 (/.f64 (+.f64 b a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) a) (-.f64 a b))) (*.f64 a a))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 a b) (*.f64 a a)))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 a b) (*.f64 a a)))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (-.f64 a b) (*.f64 a a)))) (+.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (-.f64 a b) (*.f64 a a)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a)
(/.f64 (neg.f64 (/.f64 (+.f64 b a) (*.f64 a a))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(pow.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal -1 binary64))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a)))
(*.f64 (/.f64 (+.f64 b a) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (/.f64 (+.f64 b a) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 a b))))
(*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))
(*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (+.f64 b a)) a)))
(*.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 a (-.f64 a b))))
(*.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (/.f64 (+.f64 b a) a) (+.f64 b a)))
(*.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 a b)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 b) a) (/.f64 (-.f64 a b) (*.f64 a a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a)) (/.f64 (-.f64 a b) (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a)) (/.f64 (+.f64 b a) (+.f64 b a)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 a a)) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a a) (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)) (/.f64 #s(literal -1 binary64) a))
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(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b a))))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(*.f64 (pow.f64 (/.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (pow.f64 (/.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (pow.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 a b)))
(*.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)) (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b a)))
(*.f64 (/.f64 (+.f64 b a) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(*.f64 (/.f64 (+.f64 b a) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(*.f64 (/.f64 (+.f64 b a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 (+.f64 b a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 (+.f64 b a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 (+.f64 b a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 (+.f64 b a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 b a)))
(*.f64 (/.f64 (+.f64 b a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 a b) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (/.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 (+.f64 b a) a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 (+.f64 b a) a) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (/.f64 (+.f64 b a) a) (-.f64 b a)))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (+.f64 b a) a) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(*.f64 (/.f64 (/.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) (-.f64 a b))) (*.f64 (+.f64 b a) (-.f64 a b)))
(*.f64 (/.f64 (/.f64 (+.f64 b a) a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 a b) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 (/.f64 (+.f64 b a) a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 a b) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 (/.f64 (+.f64 b a) a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (-.f64 a b) (-.f64 b a)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) a) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) a) (/.f64 (+.f64 b a) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) (/.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) (/.f64 (+.f64 b a) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (pow.f64 (/.f64 a (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (+.f64 b a)) #s(literal -1/2 binary64)))
#s(approx (- a b) (neg.f64 b))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a a))
(fabs.f64 (*.f64 a (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 a)))
(neg.f64 (*.f64 a (neg.f64 a)))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 (*.f64 a (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 a) b)) (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) b)))
(neg.f64 (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) b)))
(/.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (*.f64 a a) (-.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 a b) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 a b) (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(literal 1 binary64))
(/.f64 (neg.f64 a) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (*.f64 a (neg.f64 a)) (+.f64 (neg.f64 a) b))
(/.f64 (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) b)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(pow.f64 (/.f64 (-.f64 a b) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a (/.f64 a (-.f64 a b)))
(*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 a b)))
(*.f64 (/.f64 a (-.f64 a b)) a)
(*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(literal 1 binary64))
(*.f64 (*.f64 a (neg.f64 a)) (/.f64 #s(literal -1 binary64) (-.f64 a b)))
(*.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 b a) (-.f64 a b))) (+.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 a (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (*.f64 a a) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(*.f64 (/.f64 a (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a 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 b a)))
(*.f64 (/.f64 a (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 a (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 a (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 a (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 a (-.f64 b a)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 a (-.f64 a b))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 b a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a (-.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 a) b)) (neg.f64 (/.f64 a (-.f64 a b))))
(neg.f64 (neg.f64 (/.f64 a (-.f64 a b))))
(/.f64 a (-.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(/.f64 (neg.f64 a) (+.f64 (neg.f64 a) b))
(/.f64 (/.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 a b))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 a (-.f64 a b)))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 a (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(*.f64 (/.f64 a (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a 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 b a))
(*.f64 (/.f64 a (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 a (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 a (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal -1/2 binary64)))

eval329.0ms (4.2%)

Memory
-1.6MiB live, 499.2MiB allocated
Compiler

Compiled 45 485 to 5 620 computations (87.6% saved)

prune258.0ms (3.3%)

Memory
-12.9MiB live, 389.2MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2 13822 140
Fresh000
Picked145
Done134
Total2 14092 149
Accuracy
100.0%
Counts
2 149 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
6.0%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a)
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
79.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
79.0%
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
78.1%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
97.5%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 113 to 71 computations (37.2% saved)

simplify171.0ms (2.2%)

Memory
24.6MiB live, 269.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 b a)
cost-diff0
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
cost-diff384
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
cost-diff0
#s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a))
cost-diff0
(/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)
cost-diff0
(fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))
cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
Rules
11 238×lower-fma.f32
11 234×lower-fma.f64
2 798×lower-*.f64
2 798×lower-*.f32
1 278×times-frac
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
017124
028126
153126
298126
3215126
4456126
5820126
61969116
75801116
08072116
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
(fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))
(/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)
#s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a))
(fma.f64 (neg.f64 b) (/.f64 b a) a)
(neg.f64 b)
b
(/.f64 b a)
a
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
b
a
#s(literal -1 binary64)
Outputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a)))
(fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))
(fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a))
(/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)
(/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a)
#s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a))
#s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a)))
(fma.f64 (neg.f64 b) (/.f64 b a) a)
(-.f64 a (/.f64 (*.f64 b b) a))
(neg.f64 b)
b
(/.f64 b a)
a
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/.f64 b a)
b
a
#s(literal -1 binary64)

localize56.0ms (0.7%)

Memory
-24.5MiB live, 98.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 b a)
accuracy0
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
accuracy0.00390625
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
accuracy0.03125
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
accuracy0
(fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))
accuracy0
#s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a))
accuracy0.0234375
(/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)
accuracy0.03125
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
Samples
32.0ms256×0valid
Compiler

Compiled 98 to 20 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 5.0ms (22.9% of total)
ival-add: 4.0ms (18.4% of total)
ival-mult: 4.0ms (18.4% of total)
ival-sqrt: 3.0ms (13.8% of total)
ival-fabs: 2.0ms (9.2% of total)
ival-sub: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
8 → 192
Calls
Call 1
Inputs
#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a) (patch (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) (patch #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)) #<representation binary64>) () ())) ())
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#s(alt (/ b a) (taylor 0 b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
Calls

48 calls:

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

simplify196.0ms (2.5%)

Memory
6.2MiB live, 284.5MiB allocated
Algorithm
egg-herbie
Rules
10 718×lower-fma.f64
10 718×lower-fma.f32
2 686×lower-*.f64
2 686×lower-*.f32
2 272×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0871888
12351824
26981820
330841628
089811514
Stop Event
iter limit
node limit
Counts
192 → 189
Calls
Call 1
Inputs
(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)))))
(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))))
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)))
a
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* -1 (/ (pow b 2) a))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
a
(* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
a
(* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(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)
Outputs
(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 (/ (* (+ 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 (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 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 (/ (* (+ 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))))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs.f64 (fma.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 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
a
(+ a (* -1 (/ (pow b 2) a)))
(-.f64 a (*.f64 b (/.f64 b a)))
(+ a (* -1 (/ (pow b 2) a)))
(-.f64 a (*.f64 b (/.f64 b a)))
(+ a (* -1 (/ (pow b 2) a)))
(-.f64 a (*.f64 b (/.f64 b a)))
(* -1 (/ (pow b 2) a))
(*.f64 b (/.f64 b (neg.f64 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 b (-.f64 (*.f64 (/.f64 a (*.f64 b b)) b) (/.f64 b a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 b (-.f64 (*.f64 (/.f64 a (*.f64 b b)) b) (/.f64 b a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 b (-.f64 (*.f64 (/.f64 a (*.f64 b b)) b) (/.f64 b a)))
(* -1 (/ (pow b 2) a))
(*.f64 b (/.f64 b (neg.f64 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 b (-.f64 (*.f64 (/.f64 a (*.f64 b b)) b) (/.f64 b a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 b (-.f64 (*.f64 (/.f64 a (*.f64 b b)) b) (/.f64 b a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(*.f64 b (-.f64 (*.f64 (/.f64 a (*.f64 b b)) b) (/.f64 b a)))
(* -1 (/ (pow b 2) a))
(*.f64 b (/.f64 b (neg.f64 a)))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)
(*.f64 b (/.f64 b (neg.f64 a)))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a)
a
(* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))
a
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 a (fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 a (fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64)))
a
(* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
(*.f64 a (fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
(*.f64 a (fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64)))
-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)
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
-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)
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
-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)
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)

rewrite281.0ms (3.6%)

Memory
-26.6MiB live, 446.6MiB allocated
Rules
8 350×lower-fma.f32
8 346×lower-fma.f64
5 168×lower-*.f64
5 168×lower-*.f32
4 042×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017107
028104
1122104
2951104
08694104
Stop Event
iter limit
node limit
iter limit
Counts
8 → 220
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
(fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))
(/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)
#s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(/.f64 b a)
Outputs
(exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a))) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 a #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 a)) (sqrt.f64 (fabs.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a)))))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))))) (sqrt.f64 (fabs.f64 a)))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a)))))) (sqrt.f64 (neg.f64 (fabs.f64 a))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a)))))) (neg.f64 (sqrt.f64 (fabs.f64 a))))
(pow.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a)) (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 a))))
(fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a))
(fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) (neg.f64 a)))
(fabs.f64 (-.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))) a) #s(literal 0 binary64)))
(neg.f64 (/.f64 (fabs.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a)))) (neg.f64 (fabs.f64 a))))
(neg.f64 (/.f64 (neg.f64 (fabs.f64 #s(approx (* (/ (+ b a) a) (- a b)) (-.f64 a (/.f64 (*.f64 b b) a))))) (fabs.f64 a)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.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))) (*.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.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)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.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) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.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))))) (+.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.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)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.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) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 b 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) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 b 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 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.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 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.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)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.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)))
(*.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.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)))))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))))))
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))) (sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))))))
(/.f64 (sqrt.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #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 (exp.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal 1/2 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 (pow.f64 (fabs.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(fabs.f64 (-.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 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(fabs.f64 (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a)))))) (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a)))))))
(/.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64))) (fabs.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))))))
(*.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))))))
(*.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 b a))
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) a))
(neg.f64 (/.f64 (neg.f64 b) a))
(neg.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(/.f64 b a)
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (/.f64 a (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) a)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 b (neg.f64 a))) (*.f64 a a))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) a)))))
(pow.f64 (/.f64 b a) #s(literal 1 binary64))
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 b a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b a) #s(literal 1/2 binary64)))

eval72.0ms (0.9%)

Memory
11.1MiB live, 167.9MiB allocated
Compiler

Compiled 8 380 to 1 099 computations (86.9% saved)

prune65.0ms (0.8%)

Memory
19.3MiB live, 137.6MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New5210521
Fresh000
Picked022
Done077
Total5219530
Accuracy
100.0%
Counts
530 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
6.0%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) a)
100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
79.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))))
100.0%
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
79.0%
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
78.1%
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
97.5%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Compiler

Compiled 273 to 137 computations (49.8% saved)

regimes71.0ms (0.9%)

Memory
-33.3MiB live, 103.3MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) 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 a b)))) a)
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a 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 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) 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 a b) a) (-.f64 a b)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 a (/.f64 a (-.f64 a b))))))
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
Calls

7 calls:

33.0ms
(*.f64 a a)
17.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
5.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
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)

regimes19.0ms (0.2%)

Memory
22.3MiB live, 61.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) 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 a b)))) a)
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a 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))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Calls

7 calls:

3.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
3.0ms
a
3.0ms
b
3.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
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)

regimes18.0ms (0.2%)

Memory
-6.4MiB live, 35.4MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) 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 a b)))) a)
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 a b) (*.f64 a a)))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
Calls

7 calls:

5.0ms
(*.f64 a a)
3.0ms
a
2.0ms
b
2.0ms
(*.f64 b b)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
99.3%2a
99.3%2b
99.3%2(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
99.3%2(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
99.3%2(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
99.3%2(*.f64 a a)
99.3%2(*.f64 b b)
Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes18.0ms (0.2%)

Memory
-12.1MiB live, 27.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 b))))) 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 a b)))) a)
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
Calls

6 calls:

8.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
2.0ms
b
2.0ms
a
2.0ms
(*.f64 a a)
2.0ms
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
Results
AccuracySegmentsBranch
99.3%2a
99.3%2b
99.3%2(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
99.3%2(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
99.3%2(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
99.3%2(*.f64 a a)
Compiler

Compiled 53 to 28 computations (47.2% saved)

regimes10.0ms (0.1%)

Memory
-10.8MiB live, 28.4MiB allocated
Accuracy

Total -58.6b remaining (-3704.2%)

Threshold costs -58.6b (-3704.2%)

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

7 calls:

2.0ms
(*.f64 b b)
2.0ms
b
1.0ms
a
1.0ms
(*.f64 a a)
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
97.5%1(*.f64 b b)
97.5%1a
97.5%1b
97.5%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
97.5%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
97.5%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
97.5%1(*.f64 a a)
Compiler

Compiled 58 to 31 computations (46.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5e-324
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5e-324
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify8.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Algorithm
egg-herbie
Rules
16×+-commutative_binary64
16×sub-neg_binary64
14×*-commutative_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038109
152109
264109
375109
488109
593109
696109
797109
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 a a) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(if (<=.f64 (*.f64 a a) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ b a) a) (- a b)) (fma.f64 (neg.f64 b) (/.f64 b a) a)) a)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 a a) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))))
(if (<=.f64 (*.f64 a a) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

soundness766.0ms (9.7%)

Memory
-8.8MiB live, 746.8MiB allocated
Rules
17 628×lower-fma.f64
17 628×lower-fma.f32
10 852×lower-fma.f64
10 852×lower-fma.f32
5 538×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025972
155840
2165840
3711840
43832840
08007792
031206
055194
1195164
21395164
08439164
0843
01443
15837
243131
3434431
0822531
03055646
19005027
225784972
082554708
033226
060224
1196224
21374215
08512215
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 260 to 138 computations (46.9% saved)

preprocess56.0ms (0.7%)

Memory
0.5MiB live, 74.5MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 224 to 104 computations (53.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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