Crypto.Random.Test:calculate from crypto-random-0.0.9

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze50.0ms (1.4%)

Memory
2.5MiB live, 41.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample944.0ms (26%)

Memory
5.2MiB live, 1 038.3MiB allocated
Samples
640.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 330.0ms
ival-mult: 163.0ms (49.4% of total)
ival-add: 98.0ms (29.7% of total)
ival-div: 58.0ms (17.6% of total)
ival-true: 7.0ms (2.1% of total)
ival-assert: 4.0ms (1.2% of total)
Bogosity

explain81.0ms (2.2%)

Memory
32.8MiB live, 111.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
420-0-(/.f64 (*.f64 y y) z)
00-0-(+.f64 x (/.f64 (*.f64 y y) z))
00-0-y
00-0-(*.f64 y y)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 y y) z)o/n220
(*.f64 y y)overflow71
/.f64(/.f64 (*.f64 y y) z)u/n50
(*.f64 y y)underflow72
Confusion
Predicted +Predicted -
+250
-2229
Precision
0.9259259259259259
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2500
-20229
Precision?
0.9259259259259259
Recall?
1.0
Freqs
test
numberfreq
0229
127
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (37% of total)
ival-mult: 4.0ms (37% of total)
ival-add: 2.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess60.0ms (1.7%)

Memory
-30.6MiB live, 51.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02568
17264
217564
352364
4118164
5191264
6204664
7210664
8215264
9216464
067
097
1127
2137
0136
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y y) z))
Outputs
(+.f64 x (/.f64 (*.f64 y y) z))
(fma.f64 (/.f64 y z) y x)
Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.7%
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

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

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 (*.f64 y y) z)
cost-diff1
(+.f64 x (/.f64 (*.f64 y y) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11218
21318
01317
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y y) z))
x
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
Outputs
(+.f64 x (/.f64 (*.f64 y y) z))
(fma.f64 (/.f64 y z) y x)
x
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z

localize17.0ms (0.5%)

Memory
23.2MiB live, 23.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.00390625
(+.f64 x (/.f64 (*.f64 y y) z))
accuracy9.98026194731609
(/.f64 (*.f64 y y) z)
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.9% of total)
ival-mult: 2.0ms (38.9% of total)
ival-add: 1.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
-30.3MiB live, 8.1MiB allocated
Counts
3 → 8
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
Outputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(pow y 2)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
Calls

9 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms
y
@-inf
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms
y
@0
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms
z
@-inf
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms
z
@0
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))

simplify150.0ms (4.1%)

Memory
10.6MiB live, 85.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02346
15846
215046
349746
4222146
5415646
6618746
7792246
0820741
Stop Event
iter limit
node limit
Counts
8 → 7
Calls
Call 1
Inputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(pow y 2)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)

rewrite136.0ms (3.8%)

Memory
34.1MiB live, 105.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13515
226915
3454615
0818814
Stop Event
iter limit
node limit
iter limit
Counts
3 → 147
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z)) (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (/.f64 y z) y x) (*.f64 x x)))
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (*.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (-.f64 x (/.f64 (*.f64 y y) z))))
(*.f64 (fma.f64 (/.f64 y z) y x) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64)) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -4 binary64))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (-.f64 x (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))))
(fma.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))) x)
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (/.f64 y z) y x) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y z) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(fma.f64 (neg.f64 y) (/.f64 y (neg.f64 z)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y z)) x)
(fma.f64 (/.f64 y z) (*.f64 y #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y y) z))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(fma.f64 y (/.f64 y z) x)
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)))
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(*.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))))
(*.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y z)))
(*.f64 (/.f64 y z) (*.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y z) y)
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 y y))))
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (neg.f64 z))))
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) (/.f64 y z)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) (/.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 y z)))
(exp.f64 (-.f64 (neg.f64 (log.f64 z)) (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y (*.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval34.0ms (0.9%)

Memory
-15.8MiB live, 21.7MiB allocated
Compiler

Compiled 2 705 to 430 computations (84.1% saved)

prune3.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1474151
Fresh000
Picked101
Done000
Total1484152
Accuracy
100.0%
Counts
152 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 y z) y x)
99.9%
(+.f64 x (/.f64 y (/.f64 z y)))
91.4%
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
39.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify81.0ms (2.2%)

Memory
-7.7MiB live, 39.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(fma.f64 (/.f64 y z) y x)
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 y (/.f64 z y))
cost-diff1
(+.f64 x (/.f64 y (/.f64 z y)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
cost-diff0
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
cost-diff1
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 (*.f64 y y) z)
cost-diff0
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02187
03485
14683
26583
39983
412183
514583
619083
723583
828383
936683
1046983
1162683
1283883
13147683
14216083
15226783
16241383
17244983
18245183
19245183
0245183
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
x
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
#s(literal -1 binary64)
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 z)
z
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(+.f64 x (/.f64 y (/.f64 z y)))
x
(/.f64 y (/.f64 z y))
y
(/.f64 z y)
z
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
y
z
x
Outputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
(-.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
x
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)
#s(literal -1 binary64)
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z))
(neg.f64 z)
z
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(+.f64 x (/.f64 y (/.f64 z y)))
(fma.f64 (/.f64 y z) y x)
x
(/.f64 y (/.f64 z y))
(/.f64 (*.f64 y y) z)
y
(/.f64 z y)
z
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
y
z
x

localize90.0ms (2.5%)

Memory
16.9MiB live, 94.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y z)
accuracy0.046875
(fma.f64 (/.f64 y z) y x)
accuracy0.0
(/.f64 z y)
accuracy0.00390625
(+.f64 x (/.f64 y (/.f64 z y)))
accuracy0.1171875
(/.f64 y (/.f64 z y))
accuracy0.0
(neg.f64 z)
accuracy0.00390625
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
accuracy0.10546875
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
accuracy9.908125801974153
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
accuracy0.0
(*.f64 y y)
accuracy9.98026194731609
(/.f64 (*.f64 y y) z)
accuracy33.25908078571814
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
Samples
78.0ms256×0valid
Compiler

Compiled 84 to 21 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 41.0ms (73.5% of total)
ival-add: 5.0ms (9% of total)
ival-mult: 5.0ms (9% of total)
ival-pow: 3.0ms (5.4% of total)
ival-neg: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.9%)

Memory
-24.9MiB live, 14.1MiB allocated
Counts
12 → 12
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 z)
(+.f64 x (/.f64 y (/.f64 z y)))
(/.f64 y (/.f64 z y))
(/.f64 z y)
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
Outputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(pow y 2)
(* -1 (/ z (pow y 2)))
(/ z y)
(/ y z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* -1 z)
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@0
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z))
2.0ms
z
@-inf
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z))
2.0ms
z
@0
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z))
2.0ms
y
@-inf
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z))
1.0ms
z
@inf
((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z))

simplify138.0ms (3.8%)

Memory
0.1MiB live, 81.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02860
16860
216960
354260
4233560
5432660
6648160
0811555
Stop Event
iter limit
node limit
Counts
12 → 11
Calls
Call 1
Inputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(pow y 2)
(* -1 (/ z (pow y 2)))
(/ z y)
(/ y z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* -1 z)
Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(pow y 2)
(*.f64 y y)
(* -1 (/ z (pow y 2)))
(/.f64 (/.f64 (neg.f64 z) y) y)
(/ z y)
(/.f64 z y)
(/ y z)
(/.f64 y z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)
(* -1 z)
(neg.f64 z)

rewrite228.0ms (6.3%)

Memory
-1.9MiB live, 158.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02171
03474
113162
293262
0859462
Stop Event
iter limit
node limit
iter limit
Counts
12 → 504
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 z)
(+.f64 x (/.f64 y (/.f64 z y)))
(/.f64 y (/.f64 z y))
(/.f64 z y)
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
Outputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) z))
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (/.f64 (*.f64 (neg.f64 y) y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (neg.f64 y) y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) y) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) z))
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (/.f64 (*.f64 (neg.f64 y) y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (neg.f64 y) y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) y) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))))
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))))
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1 binary64) x)
(fma.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y y) z))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) z) x)
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (/.f64 y z) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))))
(-.f64 x (/.f64 (*.f64 (neg.f64 y) y) z))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))

eval161.0ms (4.4%)

Memory
14.9MiB live, 52.4MiB allocated
Compiler

Compiled 3 951 to 729 computations (81.5% saved)

prune7.0ms (0.2%)

Memory
-20.7MiB live, 17.7MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2514255
Fresh000
Picked224
Done000
Total2536259
Accuracy
100.0%
Counts
259 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 y z) y x)
99.9%
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
99.9%
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)))
39.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
47.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
48.0%
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify44.0ms (1.2%)

Memory
2.4MiB live, 46.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
cost-diff1
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
cost-diff3
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
cost-diff0
(/.f64 (neg.f64 z) y)
cost-diff0
(/.f64 (/.f64 (neg.f64 z) y) y)
cost-diff1
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)))
cost-diff3
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 y (/.f64 z y))
cost-diff0
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) y)
cost-diff0
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022113
035104
154104
211098
324198
467098
5173898
6181798
7186798
8189598
9189998
10189998
0189994
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 y (/.f64 z y))
y
(/.f64 z y)
z
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)))
x
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
#s(literal -1 binary64)
(/.f64 (/.f64 (neg.f64 z) y) y)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
x
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
y
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(neg.f64 z)
z
Outputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
y
(/.f64 z y)
z
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)))
(fma.f64 (/.f64 y z) y x)
x
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
(*.f64 (/.f64 y z) y)
#s(literal -1 binary64)
(/.f64 (/.f64 (neg.f64 z) y) y)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
(fma.f64 (/.f64 y z) y x)
x
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(*.f64 (/.f64 y z) y)
y
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 z y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(neg.f64 z)
z

localize91.0ms (2.5%)

Memory
-0.7MiB live, 76.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 z)
accuracy0.00390625
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
accuracy0.1171875
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
accuracy0.2109375
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
accuracy0.0
(neg.f64 z)
accuracy0.00390625
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)))
accuracy0.10546875
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
accuracy0.1328125
(/.f64 (/.f64 (neg.f64 z) y) y)
accuracy0.0
(/.f64 z y)
accuracy0.1171875
(/.f64 y (/.f64 z y))
accuracy33.25908078571814
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy0.0
(/.f64 y z)
accuracy0.08984375
(*.f64 (/.f64 y z) y)
accuracy33.25908078571814
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
Samples
59.0ms256×0valid
Compiler

Compiled 103 to 22 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 34.0ms (77.3% of total)
ival-mult: 5.0ms (11.4% of total)
ival-add: 3.0ms (6.8% of total)
ival-neg: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory
23.8MiB live, 23.8MiB allocated
Counts
15 → 13
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 y (/.f64 z y))
(/.f64 z y)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)))
(/.f64 (/.f64 (neg.f64 z) y) y)
(/.f64 (neg.f64 z) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 z)
Outputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(/ y z)
(/ z y)
(* -1 (/ z (pow y 2)))
(* -1 (/ z y))
(/ -1 y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* -1 z)
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@0
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms
z
@-inf
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms
y
@inf
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms
z
@0
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms
z
@inf
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))

simplify96.0ms (2.6%)

Memory
-13.5MiB live, 100.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03064
17364
217664
354864
4235364
5437764
6654064
0810059
Stop Event
iter limit
node limit
Counts
13 → 12
Calls
Call 1
Inputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(/ y z)
(/ z y)
(* -1 (/ z (pow y 2)))
(* -1 (/ z y))
(/ -1 y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* -1 z)
Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(/ y z)
(/.f64 y z)
(/ z y)
(/.f64 z y)
(* -1 (/ z (pow y 2)))
(/.f64 (neg.f64 z) (*.f64 y y))
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)
(* -1 z)
(neg.f64 z)

rewrite133.0ms (3.7%)

Memory
8.8MiB live, 133.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02299
03590
113584
2113484
0881580
Stop Event
iter limit
node limit
iter limit
Counts
15 → 587
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 y (/.f64 z y))
(/.f64 z y)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)))
(/.f64 (/.f64 (neg.f64 z) y) y)
(/.f64 (neg.f64 z) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 z)
Outputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z)
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y))
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) y)
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) z)) z)
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 y (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z)
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y))
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) y)
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) z)
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 z (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 z (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 z (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 y)) (*.f64 (/.f64 y z) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y z)) y) (*.f64 (/.f64 (neg.f64 y) z) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) z)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 z y) z) z)
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))
(/.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(/.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(neg.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 z) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 z y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 z y))
(+.f64 #s(literal 0 binary64) (/.f64 z y))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z)
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y))
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) y)
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 y) z) y))
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(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (*.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z)))) (fma.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (*.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (fma.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 y z) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (-.f64 x (*.f64 (/.f64 y z) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 4 binary64))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (fma.f64 x x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (/.f64 y z) y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 6 binary64))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y z) y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 y z) y) x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 y z) y) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 y z) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y z) y) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (-.f64 x (*.f64 (/.f64 y z) y))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 y z) y))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (*.f64 (/.f64 y z) y) (fma.f64 (/.f64 y z) y x))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z))))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z x)
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64) x)
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 y) x)
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 (/.f64 y z) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y) x)
(fma.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y) x)
(fma.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (/.f64 y z) x)
(fma.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 y z) y))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z)))
(-.f64 x (*.f64 (/.f64 (neg.f64 y) z) y))
(+.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) z))))
(+.f64 (*.f64 (/.f64 y z) y) x)
(+.f64 x (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z)
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y))
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) y)
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (pow.f64 y #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 z) z) z)
(/.f64 (*.f64 z z) (neg.f64 z))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z)
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))

eval46.0ms (1.3%)

Memory
-14.4MiB live, 98.1MiB allocated
Compiler

Compiled 6 502 to 1 252 computations (80.7% saved)

prune7.0ms (0.2%)

Memory
27.3MiB live, 27.3MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3662368
Fresh000
Picked224
Done022
Total3686374
Accuracy
100.0%
Counts
374 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 y z) y x)
39.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
47.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
47.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
47.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
48.0%
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
Compiler

Compiled 76 to 55 computations (27.6% saved)

simplify41.0ms (1.1%)

Memory
-19.4MiB live, 26.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
cost-diff0
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
cost-diff3
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 (/.f64 z y) y)
cost-diff0
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01771
02466
14166
27758
314958
445558
5120258
6148258
7157258
8160958
9161358
10161358
0161356
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
#s(literal 1 binary64)
(/.f64 (/.f64 z y) y)
(/.f64 z y)
z
y
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
y
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(neg.f64 z)
z
Outputs
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(/.f64 (*.f64 y y) z)
#s(literal 1 binary64)
(/.f64 (/.f64 z y) y)
(/.f64 z y)
z
y
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(/.f64 (*.f64 y y) z)
y
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 z y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(neg.f64 z)
z

localize39.0ms (1.1%)

Memory
9.0MiB live, 86.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 z)
accuracy0.1171875
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
accuracy0.2109375
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
accuracy33.25908078571814
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
accuracy0.0
(/.f64 z y)
accuracy0.10546875
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
accuracy0.1328125
(/.f64 (/.f64 z y) y)
accuracy33.25908078571814
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
Samples
30.0ms256×0valid
Compiler

Compiled 56 to 17 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 11.0ms (59.5% of total)
ival-mult: 4.0ms (21.6% of total)
ival-add: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
9 → 11
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
(/.f64 (/.f64 z y) y)
(/.f64 z y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 z)
Outputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(/ z (pow y 2))
(/ z y)
(/ -1 y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* -1 z)
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms
z
@inf
((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms
y
@0
((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms
y
@-inf
((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms
y
@inf
((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z))

simplify128.0ms (3.5%)

Memory
-3.1MiB live, 77.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02756
16456
215756
350856
4227356
5424856
6633956
0801151
Stop Event
iter limit
node limit
Counts
11 → 10
Calls
Call 1
Inputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(/ z (pow y 2))
(/ z y)
(/ -1 y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* -1 z)
Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z y)
(/.f64 z y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(* -1 z)
(neg.f64 z)

rewrite125.0ms (3.5%)

Memory
23.4MiB live, 130.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01765
02452
19152
263052
3639152
0814950
Stop Event
iter limit
node limit
iter limit
Counts
9 → 305
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
(/.f64 (/.f64 z y) y)
(/.f64 z y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 z)
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z)
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (/.f64 y (/.f64 (neg.f64 z) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (/.f64 y z) y)
(*.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 y z))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (/.f64 (neg.f64 z) y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)))
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(neg.f64 (/.f64 y (/.f64 (neg.f64 z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (/.f64 y (/.f64 (neg.f64 z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (/.f64 (neg.f64 z) y)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 z) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) z)
(*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) z)
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 z))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z y))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)) #s(literal -1 binary64))
(*.f64 (neg.f64 z) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 z y) y) #s(literal 1 binary64))
(*.f64 (/.f64 z y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 z (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 z (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(*.f64 z (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 z (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (*.f64 z z))
(/.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 y) y) z))
(/.f64 (*.f64 (/.f64 (/.f64 z y) y) z) z)
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y z))
(/.f64 (/.f64 (neg.f64 z) y) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) z))
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 z) y)))
(/.f64 (/.f64 (/.f64 z y) y) #s(literal 1 binary64))
(/.f64 (/.f64 z y) y)
(/.f64 z (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 z)))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) z)
(*.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 z (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y)) z)
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 z) z)) z)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 z y) y) z)) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (/.f64 z y) y) z (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y z)) y) (/.f64 y (/.f64 (neg.f64 z) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) z)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 y)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 (neg.f64 y) (*.f64 z z)))
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(/.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(/.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(neg.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 z) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 z y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 z y))
(+.f64 #s(literal 0 binary64) (/.f64 z y))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) z)
(*.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 z (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y)) z)
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 z) z)) z)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 z y) y) z)) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (/.f64 z y) y) z (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y z)) y) (/.f64 y (/.f64 (neg.f64 z) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) z)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 y)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 (neg.f64 y) (*.f64 z z)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(/.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(neg.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 z) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 z y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 z y))
(+.f64 #s(literal 0 binary64) (/.f64 z y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z)
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (/.f64 y (/.f64 (neg.f64 z) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (/.f64 y z) y)
(*.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 y z))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (/.f64 (neg.f64 z) y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)))
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(neg.f64 (/.f64 y (/.f64 (neg.f64 z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (/.f64 y (/.f64 (neg.f64 z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (/.f64 (neg.f64 z) y)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 z) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(neg.f64 (pow.f64 y #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z))
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (neg.f64 z) z) z)
(/.f64 (*.f64 z z) (neg.f64 z))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(neg.f64 z)
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(+.f64 (neg.f64 z) #s(literal 0 binary64))

eval53.0ms (1.5%)

Memory
-43.4MiB live, 83.7MiB allocated
Compiler

Compiled 3 904 to 781 computations (80% saved)

prune6.0ms (0.2%)

Memory
22.8MiB live, 22.8MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2080208
Fresh000
Picked022
Done044
Total2086214
Accuracy
100.0%
Counts
214 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 y z) y x)
39.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
47.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
47.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
47.9%
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
48.0%
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
Compiler

Compiled 196 to 93 computations (52.6% saved)

regimes21.0ms (0.6%)

Memory
0.0MiB live, 39.1MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(fma.f64 (/.f64 y z) y x)
(+.f64 x (/.f64 (*.f64 y y) z))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(+.f64 x (/.f64 y (/.f64 z y)))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)))
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
Outputs
(fma.f64 (/.f64 y z) y x)
Calls

6 calls:

3.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 x (/.f64 (*.f64 y y) z))
99.9%1(/.f64 (*.f64 y y) z)
99.9%1(*.f64 y y)
Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes49.0ms (1.4%)

Memory
-36.2MiB live, 23.0MiB allocated
Accuracy

Total -5.2b remaining (-15.5%)

Threshold costs -5.2b (-15.5%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
Outputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
Calls

6 calls:

43.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
48.0%1x
48.0%1y
48.0%1z
48.0%1(+.f64 x (/.f64 (*.f64 y y) z))
48.0%1(/.f64 (*.f64 y y) z)
48.0%1(*.f64 y y)
Compiler

Compiled 18 to 24 computations (-33.3% saved)

simplify9.0ms (0.2%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11319
21419
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 y z) y x)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
Outputs
(fma.f64 (/.f64 y z) y x)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

soundness474.0ms (13.1%)

Memory
11.4MiB live, 241.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02346
15846
215046
349746
4222146
5415646
6618746
7792246
0820741
02171
03474
113162
293262
0859462
0615
0915
13515
226915
3454615
0818814
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 50 to 32 computations (36% saved)

preprocess24.0ms (0.7%)

Memory
18.9MiB live, 56.7MiB allocated
Remove

(abs y)

Compiler

Compiled 78 to 54 computations (30.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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