Eccentricity of an ellipse

Time bar (total: 6.9s)

analyze12.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%37.5%62.5%0%0%0%0
0%0%37.5%62.5%0%0%0%1
0%0%18.7%62.5%0%18.7%0%2
0%0%9.4%62.5%0%28.1%0%3
0%0%9.4%62.5%0%28.1%0%4
0%0%7%62.5%0%30.4%0%5
20%1.2%4.7%62.5%0%31.6%0%6
25%1.2%3.5%62.5%0%32.8%0%7
40%1.8%2.6%62.5%0%33.1%0%8
51.9%2%1.9%62.5%0%33.5%0%9
64.7%2.4%1.3%62.5%0%33.7%0%10
72.9%2.6%1%62.5%0%33.9%0%11
80.2%2.7%0.7%62.5%0%34%0%12
Compiler

Compiled 25 to 16 computations (36% saved)

sample1.6s (23.4%)

Memory
-12.7MiB live, 1 213.4MiB allocated
Samples
924.0ms8 256×0valid
308.0ms805×0invalid
Precisions
Click to see histograms. Total time spent on operations: 969.0ms
ival-<=: 339.0ms (35% of total)
ival-sqrt: 201.0ms (20.8% of total)
ival-mult: 174.0ms (18% of total)
ival-div: 104.0ms (10.7% of total)
ival-sub: 73.0ms (7.5% of total)
ival-fabs: 46.0ms (4.7% of total)
ival-and: 18.0ms (1.9% of total)
exact: 11.0ms (1.1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess358.0ms (5.2%)

Memory
16.9MiB live, 253.6MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
1×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)

explain171.0ms (2.5%)

Memory
-17.1MiB live, 112.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
580-0-(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
00-0-(*.f64 a a)
00-0-a
00-0-b
00-0-(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
00-0-(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
00-0-(-.f64 (*.f64 a a) (*.f64 b b))
00-0-(*.f64 b b)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))u/u580
↳(*.f64 b b)underflow186
↳(-.f64 (*.f64 a a) (*.f64 b b))underflow58
↳(*.f64 a a)underflow58
↳(*.f64 a a)underflow58
Confusion
Predicted +Predicted -
+580
-0198
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5800
-00198
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0198
158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
76.0ms512×0valid
Compiler

Compiled 136 to 36 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (33.1% of total)
ival-div: 3.0ms (16.5% of total)
ival-sqrt: 3.0ms (16.5% of total)
ival-sub: 2.0ms (11% of total)
ival-fabs: 2.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.3%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify261.0ms (3.8%)

Memory
18.0MiB live, 371.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
✓cost-diff128
(-.f64 (*.f64 a a) (*.f64 b b))
✓cost-diff128
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
✓cost-diff192
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Rules
9 090×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
1×iter limit
1×node limit
1×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

localize28.0ms (0.4%)

Memory
-7.7MiB live, 31.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
✓accuracy100.0%
(-.f64 (*.f64 a a) (*.f64 b b))
✓accuracy78.0%
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Samples
19.0ms256×0valid
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 (34.1% of total)
ival-div: 2.0ms (22.7% of total)
ival-sqrt: 2.0ms (22.7% of total)
ival-sub: 1.0ms (11.4% of total)
ival-fabs: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))>
#<alt (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))>
#<alt (-.f64 (*.f64 a a) (*.f64 b b))>
#<alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))>
Outputs
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (* -1 (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
Calls

24 calls:

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

rewrite279.0ms (4%)

Memory
-1.4MiB live, 316.4MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×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) (neg.f64 (*.f64 a 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)) (neg.f64 (*.f64 a a)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))) (*.f64 (*.f64 a a) (fma.f64 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))))) (neg.f64 (*.f64 a a))))
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(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))) (fma.f64 (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))) (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))))) (fma.f64 (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))))))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 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 (neg.f64 (*.f64 a 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))

simplify560.0ms (8.1%)

Memory
14.1MiB live, 371.7MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
Outputs
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))

eval78.0ms (1.1%)

Memory
5.7MiB live, 82.2MiB allocated
Compiler

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

prune88.0ms (1.3%)

Memory
-39.1MiB live, 97.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4834487
Fresh000
Picked101
Done000
Total4844488
Accuracy
100.0%
Counts
488 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.4%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
▶100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶78.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶97.9%
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
Compiler

Compiled 45 to 31 computations (31.1% saved)

simplify363.0ms (5.2%)

Memory
9.0MiB live, 244.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓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-diff320
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
✓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))
✓cost-diff0
(/.f64 b (*.f64 a a))
✓cost-diff0
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
✓cost-diff0
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓cost-diff0
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓cost-diff128
(fabs.f64 #s(literal 1 binary64))
✓cost-diff640
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
Rules
10 508×lower-fma.f32
10 504×lower-fma.f64
2 670×lower--.f32
2 668×lower--.f64
1 768×lower-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023130
045128
173126
2128126
3246126
4427126
5689126
61384126
72558126
84722126
96274126
106826126
117155126
127334126
137396126
08168126
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
(fabs.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
#s(literal -1 binary64)
(sqrt.f64 (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)
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) 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)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
Outputs
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
#s(literal 1 binary64)
(fabs.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64))
(/.f64 b a)
b
a
(neg.f64 (/.f64 b a))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
(*.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)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)

localize97.0ms (1.4%)

Memory
11.0MiB live, 93.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.f64 a b) (-.f64 a b))
✓accuracy100.0%
(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
✓accuracy99.8%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
✓accuracy78.2%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(neg.f64 (/.f64 b a))
✓accuracy100.0%
(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓accuracy77.7%
(/.f64 b (*.f64 a a))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
✓accuracy100.0%
(fabs.f64 #s(literal 1 binary64))
Samples
71.0ms256×0valid
Compiler

Compiled 141 to 27 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-sqrt: 36.0ms (62.2% of total)
ival-mult: 7.0ms (12.1% of total)
ival-div: 5.0ms (8.6% of total)
ival-fabs: 5.0ms (8.6% of total)
ival-add: 3.0ms (5.2% of total)
ival-sub: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.7%)

Memory
-5.2MiB live, 33.8MiB allocated
Counts
16 → 324
Calls
Call 1
Inputs
#<alt (sqrt.f64 (fabs.f64 #s(literal 1 binary64)))>
#<alt (fabs.f64 #s(literal 1 binary64))>
#<alt (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))>
#<alt (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))>
#<alt (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))>
#<alt (/.f64 b (*.f64 a a))>
#<alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))>
#<alt (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))>
#<alt (/.f64 b a)>
#<alt (*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))>
#<alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))>
#<alt (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))>
#<alt (*.f64 (+.f64 a b) (-.f64 a b))>
#<alt (*.f64 a a)>
#<alt (neg.f64 (/.f64 b a))>
Outputs
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a b) (- a b))))>
#<alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))>
#<alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))>
#<alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))>
#<alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a b) (- a b)))>
#<alt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))>
#<alt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))>
#<alt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))>
#<alt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))>
#<alt (* -1 (pow b 2))>
#<alt (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))>
#<alt (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))>
#<alt (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))>
#<alt (pow a 2)>
#<alt (+ (* b (+ a (* -1 a))) (pow a 2))>
#<alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))>
#<alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
Calls

81 calls:

TimeVariablePointExpression
29.0ms
a
@0
(+ (* (/ b a) (neg (/ b a))) 1)
1.0ms
b
@inf
(sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1)))
1.0ms
a
@-inf
(* (sqrt (fabs (* (+ a b) (- a b)))) (/ 1 a))
1.0ms
b
@inf
(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
1.0ms
a
@0
(* (sqrt (fabs (* (+ a b) (- a b)))) (/ 1 a))

rewrite346.0ms (5%)

Memory
-0.3MiB live, 432.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 476×lower-fma.f32
6 472×lower-fma.f64
4 810×lower-*.f32
4 804×lower-*.f64
3 296×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023111
045107
1141100
2954100
08686100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 608
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
(fabs.f64 #s(literal 1 binary64))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
(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)
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) 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 a)
(neg.f64 (/.f64 b a))
Outputs
#s(literal 1 binary64)
#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 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)))) (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 a (*.f64 a (*.f64 a a)))))))))
(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)))
(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 (-.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)))))
(fabs.f64 (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (/.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))))))
(fabs.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) #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) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.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 #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 (fabs.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))) (fabs.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #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 a (*.f64 a (*.f64 a a))))))))
(/.f64 (fabs.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)))) (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 a (*.f64 a (*.f64 a a)))))))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (fabs.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (-.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) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))) (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 a (*.f64 a (*.f64 a a)))))))))
(*.f64 (fabs.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))) (/.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 a (*.f64 a (*.f64 a a)))))))))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(+.f64 (/.f64 (/.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))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (/.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))))) (/.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 (/.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))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a a))))))
(fma.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a b) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b) (-.f64 (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a)) (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 a b) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a) (-.f64 (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b)) (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 b (+.f64 b a))) #s(literal 3 binary64))) (fma.f64 (*.f64 a (+.f64 b a)) (*.f64 a (+.f64 b a)) (-.f64 (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (neg.f64 (*.f64 b (+.f64 b a)))) (*.f64 (*.f64 a (+.f64 b a)) (neg.f64 (*.f64 b (+.f64 b a)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (*.f64 a (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (*.f64 b (-.f64 a b)) (*.f64 b (-.f64 a b)) (-.f64 (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b))) (*.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (*.f64 b (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)) (-.f64 (*.f64 (*.f64 b (-.f64 a b)) (*.f64 b (-.f64 a b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))))
(/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (neg.f64 (*.f64 b b)) (neg.f64 (*.f64 b b)))) (-.f64 (*.f64 a a) (neg.f64 (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) a)) (*.f64 (neg.f64 (*.f64 (+.f64 b a) b)) (neg.f64 (*.f64 (+.f64 b a) b)))) (-.f64 (*.f64 (+.f64 b a) a) (neg.f64 (*.f64 (+.f64 b a) b))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b)) (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a))) (-.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) a)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a)) (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b))) (-.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) b)))
(/.f64 (-.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (+.f64 b a))) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (neg.f64 (*.f64 b (+.f64 b a))))) (-.f64 (*.f64 a (+.f64 b a)) (neg.f64 (*.f64 b (+.f64 b a)))))
(/.f64 (-.f64 (*.f64 (*.f64 b (-.f64 a b)) (*.f64 b (-.f64 a b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))) (-.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(/.f64 (-.f64 (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b))) (*.f64 (*.f64 b (-.f64 a b)) (*.f64 b (-.f64 a b)))) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 (*.f64 (-.f64 a b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (*.f64 (+.f64 b a) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (+.f64 b a)))
(/.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (-.f64 a b) (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))) (-.f64 a b)))
(*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a)))) (+.f64 b a)))
(*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (-.f64 a b)))
(*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a)))
(*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a))
(*.f64 (-.f64 b a) (neg.f64 (+.f64 b a)))
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (fma.f64 b b (*.f64 a (+.f64 b a))))))
(*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b))))
(*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b))))
(*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 a b) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))))
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (fma.f64 b b (*.f64 a (+.f64 b a))))))
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))))
(*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (*.f64 (+.f64 b a) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(*.f64 (*.f64 (-.f64 a b) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(*.f64 (*.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a))))))
(*.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (-.f64 a b))
(*.f64 (/.f64 (-.f64 a b) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b 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) (-.f64 a b)) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 (-.f64 a b) #s(literal 1 binary64)) (+.f64 b a))
(*.f64 (/.f64 (+.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(*.f64 (/.f64 (+.f64 b a) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b)))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 b b (*.f64 a (+.f64 b 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 a b) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (/.f64 (+.f64 b a) (+.f64 b a)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (/.f64 (-.f64 a b) (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b)))) (/.f64 (+.f64 b a) (fma.f64 b b (*.f64 a (+.f64 b 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))))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(*.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (-.f64 a b))
(*.f64 (*.f64 (-.f64 a b) #s(literal 1 binary64)) (+.f64 b a))
(*.f64 (*.f64 (-.f64 a b) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 a b)))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 a)))
(neg.f64 (*.f64 a (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 a (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(/.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 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(+.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 0 binary64))) (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (neg.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (neg.f64 (*.f64 b (/.f64 b (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 0 binary64)) (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(/.f64 b (neg.f64 a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) (*.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 a))))))
(/.f64 (*.f64 b #s(literal -1 binary64)) a)
(/.f64 (neg.f64 (*.f64 b #s(literal -1 binary64))) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 b #s(literal -1 binary64))) (neg.f64 a))
(pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) (/.f64 a b))
(*.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 (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (neg.f64 b) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))

simplify348.0ms (5%)

Memory
2.9MiB live, 441.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 524×lower-fma.f64
12 524×lower-fma.f32
3 312×lower--.f64
3 312×lower--.f32
3 180×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042685
12872561
28072553
335482553
084872435
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(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))
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)
(* (/ 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))
(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 (/ 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))
Outputs
(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)))
-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 b (/.f64 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 b (/.f64 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 b (/.f64 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))
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(*.f64 b (neg.f64 b))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 a (-.f64 a (*.f64 a (*.f64 b (/.f64 b (*.f64 a a))))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 a (-.f64 a (*.f64 a (*.f64 b (/.f64 b (*.f64 a a))))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(*.f64 a (-.f64 a (*.f64 a (*.f64 b (/.f64 b (*.f64 a a))))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(*.f64 a (-.f64 a (*.f64 a (*.f64 b (/.f64 b (*.f64 a a))))))
(pow a 2)
(*.f64 a a)
(+ (* b (+ a (* -1 a))) (pow a 2))
(*.f64 a a)
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(*.f64 b (neg.f64 b))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)))
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(*.f64 b (neg.f64 b))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* -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))

eval160.0ms (2.3%)

Memory
-1.5MiB live, 186.5MiB allocated
Compiler

Compiled 19 198 to 2 585 computations (86.5% saved)

prune117.0ms (1.7%)

Memory
27.1MiB live, 190.4MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New9853988
Fresh000
Picked224
Done000
Total9875992
Accuracy
100.0%
Counts
992 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.4%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
▶76.1%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
▶100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓78.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶97.9%
#s(literal 1 binary64)
Compiler

Compiled 53 to 36 computations (32.1% saved)

simplify405.0ms (5.9%)

Memory
-23.0MiB live, 462.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a a)
✓cost-diff128
(fabs.f64 (*.f64 a a))
✓cost-diff320
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
✓cost-diff832
(sqrt.f64 (fabs.f64 (*.f64 a a)))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
✓cost-diff0
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓cost-diff384
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
Rules
16 026×lower-fma.f32
16 024×lower-fma.f64
2 400×lower-*.f32
2 396×lower-*.f64
2 174×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
02357
14051
25951
39051
414651
526151
655051
7114151
8347051
9612851
0811451
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
b
a
#s(literal -1 binary64)
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
(sqrt.f64 (fabs.f64 (*.f64 a a)))
(fabs.f64 (*.f64 a a))
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
(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)
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (fabs.f64 a) a)
(sqrt.f64 (fabs.f64 (*.f64 a a)))
(fabs.f64 a)
(fabs.f64 (*.f64 a a))
(*.f64 a a)
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)

localize58.0ms (0.8%)

Memory
17.5MiB live, 56.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(fabs.f64 (*.f64 a a))
✓accuracy99.8%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
✓accuracy78.2%
(sqrt.f64 (fabs.f64 (*.f64 a a)))
✓accuracy100.0%
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Samples
44.0ms256×0valid
Compiler

Compiled 65 to 16 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sqrt: 23.0ms (66.1% of total)
ival-div: 4.0ms (11.5% of total)
ival-mult: 4.0ms (11.5% of total)
ival-fabs: 2.0ms (5.7% of total)
ival-add: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-30.2MiB live, 8.8MiB allocated
Counts
8 → 144
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))>
#<alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))>
#<alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))>
#<alt (/.f64 b a)>
#<alt (sqrt.f64 (fabs.f64 (*.f64 a a)))>
#<alt (*.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))>
#<alt (fabs.f64 (*.f64 a a))>
#<alt (*.f64 a a)>
Outputs
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (sqrt (fabs (pow a 2)))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (* (/ 1 a) (sqrt (fabs (pow a 2))))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (fabs (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
Calls

36 calls:

TimeVariablePointExpression
4.0ms
a
@-inf
(* (sqrt (fabs (* a a))) (/ 1 a))
0.0ms
a
@inf
(* (sqrt (fabs (* a a))) (/ 1 a))
0.0ms
a
@0
(* (sqrt (fabs (* a a))) (/ 1 a))
0.0ms
a
@0
(sqrt (fabs (* a a)))
0.0ms
a
@inf
(sqrt (fabs (* a a)))

rewrite147.0ms (2.1%)

Memory
37.1MiB live, 194.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 598×lower-fma.f32
2 596×lower-fma.f64
1 820×lower-*.f32
1 818×lower-*.f64
1 540×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351
02343
17939
245335
0400835
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
8 → 259
Calls
Call 1
Inputs
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(/.f64 b a)
(sqrt.f64 (fabs.f64 (*.f64 a a)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
(fabs.f64 (*.f64 a a))
(*.f64 a a)
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (neg.f64 (/.f64 #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 b a)) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a)) (*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(fma.f64 (/.f64 b a) (/.f64 (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 a)) b)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 (/.f64 b a) (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) (*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a)))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (neg.f64 a)) (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (/.f64 b #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 b a))) (exp.f64 (log.f64 (/.f64 b a))) #s(literal -1 binary64))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 b) a) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) a) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 b a) (neg.f64 a)) (neg.f64 b) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 b a))))
(neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.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) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.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 b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 18 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1 binary64)) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.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 (*.f64 b b) (*.f64 a a))))
(/.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 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #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 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (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 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))))) (*.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 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.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 b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (/.f64 (*.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)) (fma.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.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)) (fma.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.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)))
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a
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(pow.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))
(*.f64 a #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 a))
(*.f64 #s(literal 1 binary64) a)
(*.f64 (neg.f64 a) #s(literal -1 binary64))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 a))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 a)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 a)))))
(fabs.f64 (*.f64 a a))
(fabs.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (-.f64 (*.f64 a a) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 a)))
(sqrt.f64 (*.f64 (*.f64 a a) (*.f64 a a)))
(neg.f64 (*.f64 a (neg.f64 a)))
(/.f64 a (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(/.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 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a)))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 a))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 a)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 a)))))
(fabs.f64 (*.f64 a a))
(fabs.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (-.f64 (*.f64 a a) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 a)))
(sqrt.f64 (*.f64 (*.f64 a a) (*.f64 a a)))
(neg.f64 (*.f64 a (neg.f64 a)))
(/.f64 a (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(/.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 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a)))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a))

simplify288.0ms (4.2%)

Memory
-24.4MiB live, 297.3MiB allocated
Algorithm
1×egg-herbie
Rules
6 134×lower-fma.f64
6 134×lower-fma.f32
3 352×lower-*.f64
3 352×lower-*.f32
2 286×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0231026
140954
285906
3219906
4568906
51650906
64367906
77957906
08109840
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(sqrt (fabs (pow a 2)))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(fabs (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
Outputs
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(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)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(sqrt (fabs (pow a 2)))
(fabs.f64 a)
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(* (/ 1 a) (sqrt (fabs (pow a 2))))
(/.f64 a (fabs.f64 a))
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(fabs (pow a 2))
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

eval53.0ms (0.8%)

Memory
6.6MiB live, 86.2MiB allocated
Compiler

Compiled 7 484 to 1 075 computations (85.6% saved)

prune41.0ms (0.6%)

Memory
5.6MiB live, 82.4MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4621463
Fresh000
Picked123
Done022
Total4635468
Accuracy
100.0%
Counts
468 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.4%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
▶97.7%
(*.f64 a (/.f64 #s(literal 1 binary64) a))
✓100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓78.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓97.9%
#s(literal 1 binary64)
Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff1024
(*.f64 a (/.f64 #s(literal 1 binary64) a))
Rules
4×*-commutative
4×lower-*.f64
4×lower-/.f32
4×lower-*.f32
2×lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
066
1116
2136
3166
0166
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 a (/.f64 #s(literal 1 binary64) a))
a
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
Outputs
(*.f64 a (/.f64 #s(literal 1 binary64) a))
#s(literal 1 binary64)
a
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)

localize18.0ms (0.3%)

Memory
-20.3MiB live, 24.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) a)
✓accuracy99.8%
(*.f64 a (/.f64 #s(literal 1 binary64) a))
Samples
13.0ms256×0valid
Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (47.2% of total)
ival-mult: 2.0ms (47.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 a (/.f64 #s(literal 1 binary64) a))>
#<alt (/.f64 #s(literal 1 binary64) a)>
Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
(/ 1 a)
0.0ms
a
@0
(* a (/ 1 a))
0.0ms
a
@0
(/ 1 a)
0.0ms
a
@-inf
(* a (/ 1 a))
0.0ms
a
@inf
(* a (/ 1 a))

rewrite237.0ms (3.4%)

Memory
-4.4MiB live, 230.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 992×lower-fma.f64
4 992×lower-fma.f32
1 822×lower-*.f64
1 822×lower-*.f32
1 226×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
064
1204
2494
31424
46424
562754
081964
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 477
Calls
Call 1
Inputs
(*.f64 a (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
Outputs
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (neg.f64 (log.f64 a)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 a)))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 a)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (log.f64 a))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 (log.f64 a) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 a (/.f64 a (*.f64 a (*.f64 a a))) #s(literal 0 binary64))
(fma.f64 a (/.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 a (/.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 a (/.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 a)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 a)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)))
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(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 a)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 a) #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 a))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 a))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (log.f64 a)))
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 a (/.f64 a (*.f64 a (*.f64 a a))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 a)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
(*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (pow.f64 a #s(literal -3/4 binary64)))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (/.f64 (pow.f64 a #s(literal -1/4 binary64)) (sqrt.f64 a)))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (neg.f64 (pow.f64 a #s(literal -3/4 binary64))))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (*.f64 (pow.f64 a #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (*.f64 (pow.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a))))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (/.f64 (pow.f64 a #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal -1/4 binary64)) (/.f64 (pow.f64 a #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) (*.f64 a a)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1/8 binary64)) (*.f64 (pow.f64 a #s(literal -1/8 binary64)) (pow.f64 a #s(literal -3/4 binary64))))
(*.f64 (pow.f64 a #s(literal -3/4 binary64)) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (pow.f64 a #s(literal -3/4 binary64)) (neg.f64 (pow.f64 a #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a #s(literal -3/4 binary64)) (/.f64 (pow.f64 a #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal -3/4 binary64)) (*.f64 (pow.f64 a #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -3/4 binary64)) (/.f64 (pow.f64 a #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 a a))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (pow.f64 a #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 a #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 a #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 a #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (*.f64 a a))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (neg.f64 (pow.f64 a #s(literal -1/4 binary64))) (pow.f64 a #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (pow.f64 a #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal -1/4 binary64)) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 a) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (neg.f64 (pow.f64 a #s(literal -3/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/4 binary64))) (pow.f64 a #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -3/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (pow.f64 a #s(literal -1/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 a #s(literal -3/4 binary64)) (pow.f64 a #s(literal -1/8 binary64))) (pow.f64 a #s(literal -1/8 binary64)))
(*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))
(*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))
(*.f64 (/.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 (/.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a a))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 3/4 binary64))) (pow.f64 a #s(literal -1/4 binary64)))

simplify6.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
2×lower-/.f32
2×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0348
1548
0548
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)

eval81.0ms (1.2%)

Memory
-3.6MiB live, 75.3MiB allocated
Compiler

Compiled 7 695 to 1 176 computations (84.7% saved)

prune74.0ms (1.1%)

Memory
30.8MiB live, 108.9MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New4983501
Fresh000
Picked011
Done044
Total4988506
Accuracy
100.0%
Counts
506 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.4%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
53.2%
(*.f64 a (/.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))
76.0%
(*.f64 a (/.f64 a (*.f64 a a)))
✓97.7%
(*.f64 a (/.f64 #s(literal 1 binary64) a))
74.9%
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a))
✓100.0%
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓78.0%
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓97.9%
#s(literal 1 binary64)
Compiler

Compiled 186 to 94 computations (49.5% saved)

regimes25.0ms (0.4%)

Memory
-6.0MiB live, 33.2MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
(*.f64 a (/.f64 #s(literal 1 binary64) a))
(*.f64 a (/.f64 a (*.f64 a a)))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) a))
(*.f64 a (/.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) (/.f64 #s(literal 1 binary64) 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)))) (/.f64 #s(literal 1 binary64) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
Calls

7 calls:

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

Compiled 58 to 31 computations (46.6% saved)

regimes21.0ms (0.3%)

Memory
-11.2MiB live, 32.6MiB allocated
Accuracy

Total -28.8b remaining (-2162.5%)

Threshold costs -28.8b (-2162.5%)

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

7 calls:

4.0ms
(*.f64 a a)
3.0ms
b
3.0ms
a
2.0ms
(*.f64 b b)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
97.9%1a
97.9%1b
97.9%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
97.9%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
97.9%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
97.9%1(*.f64 a a)
97.9%1(*.f64 b b)
Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify5.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

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

soundness470.0ms (6.8%)

Memory
-8.6MiB live, 304.5MiB allocated
Rules
17 628×lower-fma.f64
17 628×lower-fma.f32
6 476×lower-fma.f32
6 472×lower-fma.f64
5 538×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025972
155840
2165840
3711840
43832840
08007792
023111
045107
1141100
2954100
08686100
0843
01443
15837
243131
3434431
0822531
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 45 to 31 computations (31.1% saved)

preprocess36.0ms (0.5%)

Memory
9.0MiB live, 48.4MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 104 to 60 computations (42.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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