Eccentricity of an ellipse

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.3%)

Memory
-13.8MiB live, 25.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%37.5%62.5%0%0%0%0
0%0%37.5%62.5%0%0%0%1
0%0%18.7%62.5%0%18.7%0%2
0%0%9.4%62.5%0%28.1%0%3
0%0%9.4%62.5%0%28.1%0%4
0%0%7%62.5%0%30.4%0%5
20%1.2%4.7%62.5%0%31.6%0%6
25%1.2%3.5%62.5%0%32.8%0%7
40%1.8%2.6%62.5%0%33.1%0%8
51.9%2%1.9%62.5%0%33.5%0%9
64.7%2.4%1.3%62.5%0%33.7%0%10
72.9%2.6%1%62.5%0%33.9%0%11
80.2%2.7%0.7%62.5%0%34%0%12
Compiler

Compiled 25 to 16 computations (36% saved)

sample1.3s (29.1%)

Memory
45.5MiB live, 1 294.3MiB allocated
Samples
843.0ms8 256×0valid
72.0ms822×0invalid
Precisions
Click to see histograms. Total time spent on operations: 678.0ms
ival-mult: 202.0ms (29.8% of total)
ival-<=: 167.0ms (24.6% of total)
ival-sqrt: 103.0ms (15.2% of total)
ival-sub: 62.0ms (9.1% of total)
ival-div: 58.0ms (8.6% of total)
ival-fabs: 51.0ms (7.5% of total)
ival-and: 19.0ms (2.8% of total)
exact: 12.0ms (1.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain114.0ms (2.6%)

Memory
-25.8MiB live, 172.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
520-0-(/.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/u520
(*.f64 b b)underflow178
(-.f64 (*.f64 a a) (*.f64 b b))underflow52
(*.f64 a a)underflow52
(*.f64 a a)underflow52
Confusion
Predicted +Predicted -
+520
-0204
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5200
-00204
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0204
152
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36% of total)
ival-sqrt: 4.0ms (20.6% of total)
ival-sub: 3.0ms (15.4% of total)
ival-div: 3.0ms (15.4% of total)
ival-fabs: 3.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess198.0ms (4.4%)

Memory
-16.9MiB live, 245.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02267
18557
233857
3248357
4646657
0813
01413
13011
27511
319911
448411
5173511
6566111
0820610
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
Symmetry

(abs b)

(abs a)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify147.0ms (3.3%)

Memory
21.2MiB live, 138.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 a a) (*.f64 b b))
cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
cost-diff1
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
cost-diff2
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Iterations

Useful iterations: 0 (0.0ms)

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

localize24.0ms (0.5%)

Memory
-8.9MiB live, 29.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
accuracy0.0078125
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
accuracy0.015625
(-.f64 (*.f64 a a) (*.f64 b b))
accuracy12.615709549335069
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Samples
18.0ms256×0valid
Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (31.3% of total)
ival-div: 2.0ms (20.8% of total)
ival-sqrt: 2.0ms (20.8% of total)
ival-sub: 1.0ms (10.4% of total)
ival-fabs: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.8MiB live, 10.7MiB allocated
Counts
4 → 13
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)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(-.f64 (*.f64 a a) (*.f64 b b))
Outputs
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(pow a 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) (- (/ (pow a 2) (pow b 2)) 1))
Calls

6 calls:

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

simplify166.0ms (3.7%)

Memory
2.3MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025102
15592
216592
370992
4380592
0807390
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(pow a 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) (- (/ (pow a 2) (pow b 2)) 1))
Outputs
(* -1 (/ (pow b 2) (pow a 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b)
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(*.f64 (-.f64 a b) (+.f64 b a))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))

rewrite138.0ms (3.1%)

Memory
-2.0MiB live, 110.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0843
01443
15837
243131
3434831
0822931
Stop Event
iter limit
node limit
iter limit
Counts
4 → 391
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(-.f64 (*.f64 a a) (*.f64 b b))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b))
(*.f64 (pow.f64 (/.f64 (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a a) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)) (-.f64 a b))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) a)) (/.f64 (-.f64 a b) a))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (pow.f64 a #s(literal -2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) (*.f64 a a)) (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (/.f64 (neg.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 a b) a) a))
(*.f64 (/.f64 (neg.f64 (+.f64 b a)) a) (/.f64 (-.f64 a b) (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 a (/.f64 (*.f64 b b) a))))
(*.f64 (/.f64 (+.f64 b a) (neg.f64 a)) (/.f64 (neg.f64 (-.f64 a b)) a))
(*.f64 (/.f64 (+.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 a b)) (*.f64 a a)))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) a) (/.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 b a)) (/.f64 (-.f64 a b) (*.f64 (neg.f64 a) a)))
(*.f64 (neg.f64 (+.f64 b a)) (*.f64 (-.f64 a b) (neg.f64 (pow.f64 a #s(literal -2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 a #s(literal -2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 a (/.f64 (*.f64 b b) a)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(*.f64 (neg.f64 (-.f64 a (/.f64 (*.f64 b b) a))) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(*.f64 (-.f64 a (/.f64 (*.f64 b b) a)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (pow.f64 a #s(literal -2 binary64))))
(*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))
(*.f64 (+.f64 b a) (*.f64 (/.f64 (-.f64 a b) a) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (+.f64 b a) (*.f64 (neg.f64 (-.f64 a b)) (neg.f64 (pow.f64 a #s(literal -2 binary64)))))
(*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))
(*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (fma.f64 b b (*.f64 a a))))
(*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
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(neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
(fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(fma.f64 (neg.f64 (neg.f64 a)) a (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 b) b))
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 a (fma.f64 b b (*.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (-.f64 a b) b (*.f64 (-.f64 a b) a))
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (neg.f64 b) b))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 a a) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(fma.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (*.f64 b b) #s(literal -1 binary64) (*.f64 a a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 b (-.f64 a b) (*.f64 a (-.f64 a b)))
(fma.f64 (*.f64 a a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b))
(fma.f64 a (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (*.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(fma.f64 a (/.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 a (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 a (-.f64 a b) (*.f64 b (-.f64 a b)))
(fma.f64 a (+.f64 b a) (*.f64 (neg.f64 b) (+.f64 b a)))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b b))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))
(-.f64 (*.f64 a a) (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b)))
(+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b)))
(+.f64 (*.f64 a (+.f64 b a)) (*.f64 (neg.f64 b) (+.f64 b a)))
(+.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) a))
(+.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) (neg.f64 b)))
(+.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) b))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))

eval139.0ms (3.1%)

Memory
-4.6MiB live, 90.2MiB allocated
Compiler

Compiled 8 803 to 1 704 computations (80.6% saved)

prune30.0ms (0.7%)

Memory
-19.8MiB live, 18.5MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3936399
Fresh000
Picked101
Done000
Total3946400
Accuracy
100.0%
Counts
400 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
100.0%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64))))
99.3%
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
79.7%
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
98.6%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
100.0%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
Compiler

Compiled 172 to 122 computations (29.1% saved)

simplify180.0ms (4%)

Memory
25.4MiB live, 105.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 (*.f64 b b) a) a)
cost-diff0
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))
cost-diff0
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a)
cost-diff0
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
cost-diff0
(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff0
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
cost-diff0
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
cost-diff3
(/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))
cost-diff0
(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff0
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
cost-diff0
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
cost-diff0
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
cost-diff0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
cost-diff0
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
cost-diff0
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
cost-diff0
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033256
056253
198241
2171238
3343238
4707238
52484238
66874238
08184238
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(/.f64 (/.f64 b a) a)
(/.f64 b a)
b
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
a
b
(+.f64 b a)
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
a
b
(+.f64 b a)
(*.f64 a a)
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a)
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))
(-.f64 (/.f64 (*.f64 b b) a) a)
(/.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
Outputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(/.f64 (/.f64 b a) a)
(/.f64 b a)
b
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(-.f64 a b)
a
b
(+.f64 b a)
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(-.f64 a b)
a
b
(+.f64 b a)
(*.f64 a a)
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))) a))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a)
(/.f64 (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))) a)
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))
(fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))
(-.f64 (/.f64 (*.f64 b b) a) a)
(-.f64 (*.f64 (/.f64 b a) b) a)
(/.f64 (*.f64 b b) a)
(*.f64 (/.f64 b a) b)
(*.f64 b b)
b
a

localize174.0ms (3.9%)

Memory
-8.7MiB live, 67.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))
accuracy0.0078125
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
accuracy0.01953125
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a)
accuracy13.12340237842422
(/.f64 (*.f64 b b) a)
accuracy0.0
(*.f64 a a)
accuracy0.0
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy0.0078125
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
accuracy12.615709549335069
(/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))
accuracy0.0
(*.f64 (-.f64 a b) (+.f64 b a))
accuracy0.0
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy0.0234375
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
accuracy12.565759921412472
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
accuracy0.0
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy0.0078125
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy0.9426654792627739
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy0.0
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy0.0
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy0.0078125
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
accuracy0.28515625
(/.f64 (/.f64 b a) a)
Samples
156.0ms256×0valid
Compiler

Compiled 234 to 30 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-fabs: 72.0ms (51.3% of total)
ival-mult: 45.0ms (32.1% of total)
ival-div: 11.0ms (7.8% of total)
ival-sqrt: 6.0ms (4.3% of total)
ival-sub: 4.0ms (2.9% of total)
ival-add: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (1.4%)

Memory
-16.8MiB live, 21.2MiB allocated
Counts
20 → 53
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 (-.f64 a b) (+.f64 b a))
(/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a)
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))
(-.f64 (/.f64 (*.f64 b b) a) a)
(/.f64 (/.f64 b a) a)
(*.f64 a a)
(/.f64 (*.f64 b b) a)
Outputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(sqrt (/ (fabs (- (/ (pow b 2) a) a)) a))
(/ (fabs (- (/ (pow b 2) a) a)) a)
(fabs (- (/ (pow b 2) a) a))
(/ (pow b 2) a)
(/ (+ (* -1 (pow a 2)) (pow b 2)) a)
(/ b (pow a 2))
(pow a 2)
-1
(- (/ (pow b 2) (pow a 2)) 1)
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* -1 a)
(* a (- (/ (pow b 2) (pow a 2)) 1))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(* (sqrt (/ (fabs (+ (* -1 a) (/ (pow b 2) a))) a)) (pow (sqrt -1) 2))
(/ (fabs (+ (* -1 a) (/ (pow b 2) a))) a)
(fabs (+ (* -1 a) (/ (pow b 2) a)))
(* -1 (* a (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(- (/ (pow b 2) a) a)
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (pow b 2) (+ (* -1 (/ a (pow b 2))) (/ 1 a)))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
b
@0
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (sqrt (/ (fabs (- (/ (* b b) a) a)) a)) (/ (fabs (- (/ (* b b) a) a)) a) (fabs (- (/ (* b b) a) a)) (- (/ (* b b) a) a) (/ (/ b a) a) (* a a) (/ (* b b) a))
7.0ms
b
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (sqrt (/ (fabs (- (/ (* b b) a) a)) a)) (/ (fabs (- (/ (* b b) a) a)) a) (fabs (- (/ (* b b) a) a)) (- (/ (* b b) a) a) (/ (/ b a) a) (* a a) (/ (* b b) a))
5.0ms
a
@-inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (sqrt (/ (fabs (- (/ (* b b) a) a)) a)) (/ (fabs (- (/ (* b b) a) a)) a) (fabs (- (/ (* b b) a) a)) (- (/ (* b b) a) a) (/ (/ b a) a) (* a a) (/ (* b b) a))
5.0ms
a
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (sqrt (/ (fabs (- (/ (* b b) a) a)) a)) (/ (fabs (- (/ (* b b) a) a)) a) (fabs (- (/ (* b b) a) a)) (- (/ (* b b) a) a) (/ (/ b a) a) (* a a) (/ (* b b) a))
4.0ms
a
@0
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (sqrt (/ (fabs (- (/ (* b b) a) a)) a)) (/ (fabs (- (/ (* b b) a) a)) a) (fabs (- (/ (* b b) a) a)) (- (/ (* b b) a) a) (/ (/ b a) a) (* a a) (/ (* b b) a))

simplify149.0ms (3.3%)

Memory
15.3MiB live, 98.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125500
1346430
21048417
34880417
08607406
Stop Event
iter limit
node limit
Counts
53 → 53
Calls
Call 1
Inputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(sqrt (/ (fabs (- (/ (pow b 2) a) a)) a))
(/ (fabs (- (/ (pow b 2) a) a)) a)
(fabs (- (/ (pow b 2) a) a))
(/ (pow b 2) a)
(/ (+ (* -1 (pow a 2)) (pow b 2)) a)
(/ b (pow a 2))
(pow a 2)
-1
(- (/ (pow b 2) (pow a 2)) 1)
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* -1 a)
(* a (- (/ (pow b 2) (pow a 2)) 1))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(* (sqrt (/ (fabs (+ (* -1 a) (/ (pow b 2) a))) a)) (pow (sqrt -1) 2))
(/ (fabs (+ (* -1 a) (/ (pow b 2) a))) a)
(fabs (+ (* -1 a) (/ (pow b 2) a)))
(* -1 (* a (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(- (/ (pow b 2) a) a)
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (pow b 2) (+ (* -1 (/ a (pow b 2))) (/ 1 a)))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2))
Outputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 b a))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(* -1 (/ (pow b 2) (pow a 2)))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 b a))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs (* (+ a b) (- a b)))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(sqrt (/ (fabs (- (/ (pow b 2) a) a)) a))
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) b a)) a))
(/ (fabs (- (/ (pow b 2) a) a)) a)
(/.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) b a)) a)
(fabs (- (/ (pow b 2) a) a))
(fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) b a))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (+ (* -1 (pow a 2)) (pow b 2)) a)
(fma.f64 (/.f64 b a) b (neg.f64 a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(pow a 2)
(*.f64 a a)
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* (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 (fma.f64 (/.f64 (neg.f64 b) a) b a) a)
(* -1 a)
(neg.f64 a)
(* a (- (/ (pow b 2) (pow a 2)) 1))
(fma.f64 (/.f64 b a) b (neg.f64 a))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(*.f64 (fma.f64 (/.f64 (neg.f64 b) a) b a) a)
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (neg.f64 a))
(* (sqrt (/ (fabs (+ (* -1 a) (/ (pow b 2) a))) a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) b a)) a)))
(/ (fabs (+ (* -1 a) (/ (pow b 2) a))) a)
(/.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) b a)) a)
(fabs (+ (* -1 a) (/ (pow b 2) a)))
(fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) b a))
(* -1 (* a (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
(fma.f64 (/.f64 b a) b (neg.f64 a))
(+ (* b (+ a (* -1 a))) (pow a 2))
(*.f64 a a)
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(- (/ (pow b 2) a) a)
(fma.f64 (/.f64 b a) b (neg.f64 a))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b)
(* (pow b 2) (+ (* -1 (/ a (pow b 2))) (/ 1 a)))
(fma.f64 (/.f64 b a) b (neg.f64 a))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b)
(/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))

rewrite230.0ms (5.2%)

Memory
13.3MiB live, 133.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033213
056208
1211196
21455179
08569179
Stop Event
iter limit
node limit
iter limit
Counts
20 → 819
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 (-.f64 a b) (+.f64 b a))
(/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a)
(fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))
(-.f64 (/.f64 (*.f64 b b) a) a)
(/.f64 (/.f64 b a) a)
(*.f64 a a)
(/.f64 (*.f64 b b) a)
Outputs
(*.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (+.f64 b a)) (pow.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 (neg.f64 (fabs.f64 (-.f64 b a))) a) (/.f64 (fabs.f64 (+.f64 b a)) (neg.f64 a)))
(*.f64 (/.f64 (fabs.f64 (-.f64 b a)) (neg.f64 a)) (/.f64 (neg.f64 (fabs.f64 (+.f64 b a))) a))
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(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) b) a))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 b a) b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b a)) (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b a)) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 b a) b a)) (/.f64 (*.f64 a a) (fma.f64 (/.f64 b a) b a)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b a)) (/.f64 (*.f64 a a) (fma.f64 (/.f64 b a) b a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 (/.f64 b a) b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 a) a)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 b a) b a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b a)) (*.f64 (fma.f64 (/.f64 b a) b a) (*.f64 a a))) (*.f64 (fma.f64 (/.f64 b a) b a) (fma.f64 (/.f64 b a) b a)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64))) (-.f64 (neg.f64 a) (*.f64 (/.f64 b a) b)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 a) a))) (neg.f64 (fma.f64 (/.f64 b a) b a)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 b a) b) (neg.f64 a))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(/.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 a) a)) (fma.f64 (/.f64 b a) b a))
(/.f64 (fma.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 b a) b) (neg.f64 a)))))
(/.f64 (fma.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 b a) b) (neg.f64 a)))) (fma.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b a) b) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b a) b) a))))
(neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) b) a))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 b a) (neg.f64 a))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 b) a) (neg.f64 a))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b (pow.f64 b #s(literal -1 binary64))) (neg.f64 a))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 b b) (neg.f64 a))
(fma.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 b a) b a) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 b a) b a))))
(fma.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))))
(fma.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal -1 binary64) a) (neg.f64 a))
(fma.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64) (neg.f64 a))
(fma.f64 (*.f64 b b) (pow.f64 a #s(literal -1 binary64)) (neg.f64 a))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) b) (neg.f64 a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (*.f64 b b)))) (neg.f64 a))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 b) b) a) (neg.f64 a))
(fma.f64 #s(literal -1 binary64) a (*.f64 (/.f64 b a) b))
(fma.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) (neg.f64 a))
(fma.f64 (/.f64 b a) b (neg.f64 a))
(fma.f64 b (/.f64 b a) (neg.f64 a))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b a)) (/.f64 (*.f64 a a) (fma.f64 (/.f64 b a) b a)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))
(-.f64 (neg.f64 a) (/.f64 (*.f64 (neg.f64 b) b) a))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) b) a))
(-.f64 (*.f64 (/.f64 b a) b) a)
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b a)) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 b a) b a))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))))
(+.f64 (neg.f64 a) (*.f64 (/.f64 b a) b))
(+.f64 (*.f64 (/.f64 b a) b) (neg.f64 a))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) a))
(*.f64 (pow.f64 (/.f64 (neg.f64 a) b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (neg.f64 b) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b a))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) a))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 a a) b))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 b) a) a))
(*.f64 (/.f64 b a) (pow.f64 a #s(literal -1 binary64)))
(*.f64 b (pow.f64 a #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 a a) b) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 (/.f64 a b)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 a b))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a a) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a a) b)))
(/.f64 (/.f64 b a) a)
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (/.f64 b (*.f64 (neg.f64 a) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (/.f64 (neg.f64 b) a) a))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 b) a) a))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) a))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a))
(fabs.f64 (-.f64 (*.f64 a a) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 b a))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 b) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b (pow.f64 b #s(literal -1 binary64))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 b b))
(*.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64))
(*.f64 (*.f64 b b) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) b))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (*.f64 b b)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 b) b) a))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 a b)))
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))
(/.f64 (*.f64 b b) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b b))))
(/.f64 b (/.f64 a b))
(neg.f64 (/.f64 (*.f64 (neg.f64 b) b) a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (*.f64 (neg.f64 b) b) a))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 b) b) a))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) #s(literal -1 binary64)))

eval213.0ms (4.8%)

Memory
-20.4MiB live, 171.8MiB allocated
Compiler

Compiled 28 247 to 3 829 computations (86.4% saved)

prune15.0ms (0.3%)

Memory
11.2MiB live, 50.3MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 00021 002
Fresh101
Picked235
Done000
Total1 00351 008
Accuracy
100.0%
Counts
1 008 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))))
99.3%
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
98.6%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
100.0%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
80.3%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
Compiler

Compiled 85 to 56 computations (34.1% saved)

simplify136.0ms (3%)

Memory
-2.7MiB live, 155.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
022133
035133
166129
2126127
3258127
4570127
51983127
66731127
08181127
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))))
(/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))
a
(fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))
(-.f64 a (*.f64 (/.f64 b a) b))
(*.f64 (/.f64 b a) b)
(/.f64 b a)
b
Outputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))))
(sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))
(/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))
a
(fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))
(fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))
(-.f64 a (*.f64 (/.f64 b a) b))
(*.f64 (/.f64 b a) b)
(/.f64 b a)
b

localize63.0ms (1.4%)

Memory
10.5MiB live, 95.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))
accuracy0.015625
(sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))))
accuracy0.0234375
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))))
accuracy0.1484375
(*.f64 (/.f64 b a) b)
accuracy0.0
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy0.0
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy0.0078125
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
accuracy12.936097006575842
(/.f64 b (*.f64 a a))
Samples
38.0ms256×0valid
Compiler

Compiled 117 to 23 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 8.0ms (29.7% of total)
ival-mult: 7.0ms (26% of total)
ival-fabs: 4.0ms (14.8% of total)
ival-sqrt: 3.0ms (11.1% of total)
ival-sub: 2.0ms (7.4% of total)
ival-add: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory
-12.3MiB live, 26.5MiB allocated
Counts
10 → 18
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))))
(sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))))
(/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))
(fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))
(/.f64 b (*.f64 a a))
(*.f64 (/.f64 b a) b)
Outputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ a (fabs (- a (/ (pow b 2) a)))))
(/ a (fabs (- a (/ (pow b 2) a))))
(fabs (- a (/ (pow b 2) a)))
(/ b (pow a 2))
(/ (pow b 2) a)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(sqrt (/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a))
(* -1 (* (sqrt (/ a (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))))) (pow (sqrt -1) 2)))
(/ a (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))))
(fabs (neg (+ (* -1 a) (/ (pow b 2) a))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
a
@-inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ 1 (sqrt (/ a (fabs (- a (* (/ b a) b)))))) (sqrt (/ a (fabs (- a (* (/ b a) b))))) (/ a (fabs (- a (* (/ b a) b)))) (fabs (- a (* (/ b a) b))) (/ b (* a a)) (* (/ b a) b))
3.0ms
b
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ 1 (sqrt (/ a (fabs (- a (* (/ b a) b)))))) (sqrt (/ a (fabs (- a (* (/ b a) b))))) (/ a (fabs (- a (* (/ b a) b)))) (fabs (- a (* (/ b a) b))) (/ b (* a a)) (* (/ b a) b))
2.0ms
a
@0
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ 1 (sqrt (/ a (fabs (- a (* (/ b a) b)))))) (sqrt (/ a (fabs (- a (* (/ b a) b))))) (/ a (fabs (- a (* (/ b a) b)))) (fabs (- a (* (/ b a) b))) (/ b (* a a)) (* (/ b a) b))
2.0ms
a
@inf
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ 1 (sqrt (/ a (fabs (- a (* (/ b a) b)))))) (sqrt (/ a (fabs (- a (* (/ b a) b))))) (/ a (fabs (- a (* (/ b a) b)))) (fabs (- a (* (/ b a) b))) (/ b (* a a)) (* (/ b a) b))
2.0ms
b
@0
((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ 1 (sqrt (/ a (fabs (- a (* (/ b a) b)))))) (sqrt (/ a (fabs (- a (* (/ b a) b))))) (/ a (fabs (- a (* (/ b a) b)))) (fabs (- a (* (/ b a) b))) (/ b (* a a)) (* (/ b a) b))

simplify142.0ms (3.2%)

Memory
-2.8MiB live, 153.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041162
180156
2184156
3651156
42711156
56651156
08042150
Stop Event
iter limit
node limit
Counts
18 → 18
Calls
Call 1
Inputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt (/ a (fabs (- a (/ (pow b 2) a)))))
(/ a (fabs (- a (/ (pow b 2) a))))
(fabs (- a (/ (pow b 2) a)))
(/ b (pow a 2))
(/ (pow b 2) a)
-1
(- (/ (pow b 2) (pow a 2)) 1)
(sqrt (/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a))
(* -1 (* (sqrt (/ a (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))))) (pow (sqrt -1) 2)))
(/ a (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))))
(fabs (neg (+ (* -1 a) (/ (pow b 2) a))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
Outputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 b a))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(sqrt (/ (fabs (- a (/ (pow b 2) a))) a))
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))
(sqrt (/ a (fabs (- a (/ (pow b 2) a)))))
(sqrt.f64 (/.f64 a (fabs.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a))))
(/ a (fabs (- a (/ (pow b 2) a))))
(/.f64 a (fabs.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a)))
(fabs (- a (/ (pow b 2) a)))
(fabs.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(sqrt (/ (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a)) a))
(* -1 (* (sqrt (/ a (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 a (fabs.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a))))
(/ a (fabs (neg (+ (* -1 a) (/ (pow b 2) a)))))
(/.f64 a (fabs.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a)))
(fabs (neg (+ (* -1 a) (/ (pow b 2) a))))
(fabs.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))

rewrite197.0ms (4.4%)

Memory
11.7MiB live, 211.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022114
035114
1147107
2967100
08883100
Stop Event
iter limit
node limit
iter limit
Counts
10 → 396
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))))
(sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))))
(/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))
(fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))
(/.f64 b (*.f64 a a))
(*.f64 (/.f64 b a) b)
Outputs
(*.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 a)) (/.f64 (fabs.f64 (-.f64 b a)) (fabs.f64 a)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) a) (/.f64 (fabs.f64 (-.f64 b a)) a))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (/.f64 (-.f64 a b) a)))
(*.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (pow.f64 a #s(literal -2 binary64))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) a))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(*.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) a))) (fabs.f64 (pow.f64 a #s(literal -1 binary64))))
(*.f64 (fabs.f64 (+.f64 b a)) (*.f64 (fabs.f64 (-.f64 b a)) (pow.f64 a #s(literal -2 binary64))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (*.f64 (-.f64 a b) (pow.f64 a #s(literal -2 binary64)))))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(*.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 a #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) (*.f64 a a))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) a)))) (neg.f64 (fabs.f64 a)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -1 binary64))) (*.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) a))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) (*.f64 a a)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 a #s(literal -1 binary64))) (*.f64 (fabs.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) a))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (fabs.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (neg.f64 a) a)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64)))) (fabs.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal -2 binary64)))) (fabs.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (*.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
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(pow.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))) (neg.f64 (sqrt.f64 a)))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))) (sqrt.f64 (neg.f64 a)))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))) (sqrt.f64 a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a))))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))
(*.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(*.f64 (sqrt.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))
(*.f64 (sqrt.f64 (neg.f64 a)) (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal -1/2 binary64)) (sqrt.f64 a))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 a) (*.f64 (pow.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 a) (pow.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(pow.f64 (exp.f64 (log.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))) (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))) #s(literal 1 binary64))
(pow.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 a))) (neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 a))) (sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 a))) (neg.f64 (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) (neg.f64 a))))
(/.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))
(/.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 a) (neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(/.f64 (sqrt.f64 a) (sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(/.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a))))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))) #s(literal -1 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal -1 binary64)) a)
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(*.f64 (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))
(*.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(*.f64 a (pow.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a) #s(literal -1 binary64))
(/.f64 (neg.f64 a) (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a))
(/.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) (neg.f64 a)))
(/.f64 a (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))))
(neg.f64 (/.f64 (neg.f64 a) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))) (/.f64 (neg.f64 a) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) a)) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (/.f64 b a) b a))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (/.f64 b a) b a) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 a a (fma.f64 b b (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)))))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 a a (fma.f64 b b (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64))))) (neg.f64 (fabs.f64 (fma.f64 (/.f64 b a) b a))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (fma.f64 a a (fma.f64 b b (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)))))))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 (/.f64 b a) b a)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (fma.f64 a a (fma.f64 b b (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))) #s(literal -1 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 (/.f64 b a) b a)) (fabs.f64 (fma.f64 (neg.f64 a) a (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 a a (fma.f64 b b (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 a (*.f64 (/.f64 b a) b)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))))
(fabs.f64 (-.f64 (-.f64 a (*.f64 (/.f64 b a) b)) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (*.f64 (/.f64 b a) b) a))
(fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b)))
(*.f64 (pow.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 b (fabs.f64 a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (neg.f64 (pow.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (neg.f64 (pow.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b a))
(*.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -2 binary64)) b)
(*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (neg.f64 b) (neg.f64 (pow.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 b a) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a a)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 b) a) a))
(*.f64 b (pow.f64 a #s(literal -2 binary64)))
(pow.f64 (*.f64 (/.f64 a b) a) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a a) b) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 b a) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 a) b) (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a b) (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 a) b) a))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) (/.f64 a b)))
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (/.f64 (/.f64 (neg.f64 b) a) a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (/.f64 (neg.f64 b) a) a))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 b) a) a))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 b a))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 b) a))
(*.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 b) a) (neg.f64 b))
(*.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b (pow.f64 b #s(literal -1 binary64))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 b b))
(*.f64 (neg.f64 b) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (/.f64 b a) b)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) b))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 b) b) a))
(*.f64 (*.f64 b b) (pow.f64 a #s(literal -1 binary64)))
(*.f64 b (/.f64 b a))
(pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))
(/.f64 (neg.f64 b) (/.f64 (neg.f64 a) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b b))))
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(neg.f64 (/.f64 (*.f64 (neg.f64 b) b) a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (*.f64 (neg.f64 b) b) a))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 b) b) a))

eval86.0ms (1.9%)

Memory
-10.4MiB live, 74.2MiB allocated
Compiler

Compiled 10 912 to 1 871 computations (82.9% saved)

prune7.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4080408
Fresh000
Picked022
Done033
Total4085413
Accuracy
100.0%
Counts
413 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))))
99.3%
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
98.6%
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
100.0%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
80.3%
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
Compiler

Compiled 220 to 111 computations (49.5% saved)

regimes65.0ms (1.5%)

Memory
-13.8MiB live, 25.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 a (fabs.f64 (-.f64 a (*.f64 (/.f64 b a) b))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64))))
Outputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
Calls

7 calls:

48.0ms
(*.f64 b b)
3.0ms
b
3.0ms
a
3.0ms
(*.f64 a a)
3.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
100.0%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
100.0%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
100.0%1(*.f64 a a)
100.0%1(*.f64 b b)
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes53.0ms (1.2%)

Memory
-20.4MiB live, 19.3MiB allocated
Accuracy

Total -12.9b remaining (-1423.2%)

Threshold costs -12.9b (-1423.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Calls

7 calls:

43.0ms
a
2.0ms
b
2.0ms
(*.f64 a a)
2.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.6%1a
98.6%1b
98.6%1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
98.6%1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
98.6%1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
98.6%1(*.f64 a a)
98.6%1(*.f64 b b)
Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify72.0ms (1.6%)

Memory
11.3MiB live, 50.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01838
14034
29334
323834
457234
5199034
6634534
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
Outputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

soundness295.0ms (6.6%)

Memory
-10.6MiB live, 110.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025102
15592
216592
370992
4380592
0807390
Stop Event
done
iter limit
node limit
Compiler

Compiled 51 to 31 computations (39.2% saved)

preprocess19.0ms (0.4%)

Memory
28.0MiB live, 28.0MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 194 to 108 computations (44.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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