Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

Time bar (total: 9.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze107.0ms (1.1%)

Memory
-10.8MiB live, 107.2MiB 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
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (12.1%)

Memory
13.9MiB live, 1 564.5MiB allocated
Samples
782.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 553.0ms
ival-mult: 323.0ms (58.4% of total)
ival-div: 112.0ms (20.2% of total)
ival-add: 103.0ms (18.6% of total)
ival-true: 6.0ms (1.1% of total)
exact: 6.0ms (1.1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain88.0ms (0.9%)

Memory
-8.5MiB live, 225.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
460-0-(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 z #s(literal 1 binary64))
00-0-(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/o180
(*.f64 x y)overflow38
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow97
(*.f64 z z)overflow83
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/n100
(*.f64 x y)underflow35
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/o50
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow97
(*.f64 z z)overflow83
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/u50
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow59
(*.f64 z z)underflow59
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/n40
(*.f64 x y)overflow38
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/u40
(*.f64 x y)underflow35
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow59
(*.f64 z z)underflow59
Confusion
Predicted +Predicted -
+460
-0210
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4600
-00210
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0210
146
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms512×0valid
Compiler

Compiled 77 to 31 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 10.0ms (55.1% of total)
ival-add: 4.0ms (22.1% of total)
ival-div: 3.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess52.0ms (0.5%)

Memory
29.8MiB live, 68.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034110
1149102
2639101
3325899
4564299
0911
01411
13411
28211
318011
423911
524311
024310
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Symmetry

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.5%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify8.0ms (0.1%)

Memory
-29.2MiB live, 8.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z #s(literal 1 binary64))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 x y)
cost-diff128
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01431
13431
28231
318031
423931
524331
024329
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x y)
x
y
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 z z)
z
(+.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z z) z)
(*.f64 z z)
z
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

localize25.0ms (0.3%)

Memory
25.0MiB live, 60.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x y)
accuracy0.08203125
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy11.03268077422281
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Samples
19.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (61.8% of total)
ival-div: 2.0ms (24.7% of total)
ival-add: 1.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
0.7MiB live, 34.1MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 3)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))
1.0ms
y
@-inf
((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))
1.0ms
x
@-inf
((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))
1.0ms
y
@0
((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))
1.0ms
z
@inf
((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))

simplify207.0ms (2.2%)

Memory
-25.1MiB live, 264.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063683
1202664
2577646
33492628
08400593
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
Outputs
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (*.f64 z z))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
z
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
z
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))

rewrite171.0ms (1.8%)

Memory
34.3MiB live, 233.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01427
15527
233827
3320427
0848825
Stop Event
iter limit
node limit
iter limit
Counts
5 → 483
Calls
Call 1
Inputs
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 z z)
(+.f64 z #s(literal 1 binary64))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval80.0ms (0.8%)

Memory
-16.1MiB live, 142.9MiB allocated
Compiler

Compiled 9 982 to 1 515 computations (84.8% saved)

prune20.0ms (0.2%)

Memory
11.7MiB live, 58.1MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New56215577
Fresh000
Picked101
Done000
Total56315578
Accuracy
100.0%
Counts
578 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.8%
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
92.2%
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
98.0%
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
93.4%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
82.5%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
71.6%
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
70.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
90.2%
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
91.5%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
91.5%
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
94.4%
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
95.4%
(*.f64 (/.f64 y z) (*.f64 (/.f64 x z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
87.3%
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
88.9%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
73.5%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 320 to 240 computations (25% saved)

simplify174.0ms (1.8%)

Memory
-16.6MiB live, 93.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z z z)
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) (fma.f64 z z z))
cost-diff0
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 y (fma.f64 z z z))
cost-diff0
(/.f64 (/.f64 y (fma.f64 z z z)) z)
cost-diff0
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (fma.f64 z z z))
cost-diff0
(neg.f64 x)
cost-diff256
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) z) y)
cost-diff0
(/.f64 x z)
cost-diff128
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z)
cost-diff384
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028166
048162
1103160
2222160
3648160
42914160
54662160
65664160
75998160
86117160
96160160
106416160
117437160
127943160
08003160
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
(/.f64 x z)
x
z
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z)
(/.f64 (+.f64 #s(literal 1 binary64) z) y)
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
x
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(neg.f64 x)
x
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
y
(*.f64 (neg.f64 z) (fma.f64 z z z))
(neg.f64 z)
z
(fma.f64 z z z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 (/.f64 y (fma.f64 z z z)) z)
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
x
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (*.f64 y x) (fma.f64 z z z))
(*.f64 y x)
y
x
(fma.f64 z z z)
z
Outputs
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x z)
x
z
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z)
(/.f64 (fma.f64 z z z) y)
(/.f64 (+.f64 #s(literal 1 binary64) z) y)
(/.f64 (-.f64 z #s(literal -1 binary64)) y)
(+.f64 #s(literal 1 binary64) z)
(-.f64 z #s(literal -1 binary64))
#s(literal 1 binary64)
y
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(neg.f64 x)
x
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 z z))
y
(*.f64 (neg.f64 z) (fma.f64 z z z))
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))
(neg.f64 z)
z
(fma.f64 z z z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 (/.f64 y (fma.f64 z z z)) z)
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
x
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 (*.f64 y x) (fma.f64 z z z))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(*.f64 y x)
y
x
(fma.f64 z z z)
z

localize144.0ms (1.5%)

Memory
1.3MiB live, 141.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 z z z)
accuracy0
(*.f64 y x)
accuracy0.44575926984406533
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
accuracy11.757820425442976
(/.f64 (*.f64 y x) (fma.f64 z z z))
accuracy0
(fma.f64 z z z)
accuracy0.08984375
(/.f64 (/.f64 y (fma.f64 z z z)) z)
accuracy4.223312960922957
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
accuracy7.769554668455702
(/.f64 y (fma.f64 z z z))
accuracy0
(neg.f64 x)
accuracy0.08203125
(*.f64 (neg.f64 z) (fma.f64 z z z))
accuracy4.0358637102900445
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
accuracy4.223312960922957
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x y)
accuracy11.03268077422281
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy23.861135557143967
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(+.f64 #s(literal 1 binary64) z)
accuracy0.01171875
(/.f64 (+.f64 #s(literal 1 binary64) z) y)
accuracy0.13671875
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z)
accuracy1.274700521762771
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
Samples
127.0ms256×0valid
Compiler

Compiled 171 to 28 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 52.0ms (64.4% of total)
ival-div: 23.0ms (28.5% of total)
ival-add: 4.0ms (5% of total)
ival-neg: 2.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series72.0ms (0.8%)

Memory
-19.8MiB live, 59.8MiB allocated
Counts
21 → 492
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z)) (patch (/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (/.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) (fma.f64 z z z)) (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (patch (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 y (fma.f64 z z z)) z) (patch (/.f64 (/.f64 y (fma.f64 z z z)) z) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 z z z)) (patch (/.f64 y (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) (patch (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y x) (fma.f64 z z z)) (patch (/.f64 (*.f64 y x) (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z)) (patch (/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z)) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (patch (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (patch (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (patch (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (patch (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) (patch (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) (patch (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) (patch (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) (patch (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (fma.f64 z z z)) (patch (/.f64 (*.f64 y x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (fma.f64 z z z)) (patch (/.f64 (*.f64 y x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (fma.f64 z z z)) (patch (/.f64 (*.f64 y x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (fma.f64 z z z)) (patch (/.f64 (*.f64 y x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
21.0ms
z
@-inf
((/ (/ x z) (* (/ (+ 1 z) y) z)) (* (/ (+ 1 z) y) z) (/ x z) (/ (+ 1 z) y) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ 1 z) (/ y (* (neg z) (+ (* z z) z))))
7.0ms
y
@-inf
((/ (/ x z) (* (/ (+ 1 z) y) z)) (* (/ (+ 1 z) y) z) (/ x z) (/ (+ 1 z) y) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ 1 z) (/ y (* (neg z) (+ (* z z) z))))
4.0ms
y
@inf
((/ (/ x z) (* (/ (+ 1 z) y) z)) (* (/ (+ 1 z) y) z) (/ x z) (/ (+ 1 z) y) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ 1 z) (/ y (* (neg z) (+ (* z z) z))))
4.0ms
y
@0
((/ (/ x z) (* (/ (+ 1 z) y) z)) (* (/ (+ 1 z) y) z) (/ x z) (/ (+ 1 z) y) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ 1 z) (/ y (* (neg z) (+ (* z z) z))))
3.0ms
z
@0
((/ (/ x z) (* (/ (+ 1 z) y) z)) (* (/ (+ 1 z) y) z) (/ x z) (/ (+ 1 z) y) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ 1 z) (/ y (* (neg z) (+ (* z z) z))))

simplify286.0ms (3%)

Memory
12.1MiB live, 201.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01964424
15824207
214964022
352563964
084493739
Stop Event
iter limit
node limit
Counts
492 → 489
Calls
Call 1
Inputs
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ 1 y)
(+ (/ 1 y) (/ z y))
(+ (/ 1 y) (/ z y))
(+ (/ 1 y) (/ z y))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 z) 1))
(* (pow z 2) (- (* -1 z) 1))
(* (pow z 2) (- (* -1 z) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ y (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(/ y z)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
z
(* z (+ 1 z))
(* z (+ 1 z))
(* z (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* y z)) (pow z 2))
(/ (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (pow z 2))
(/ (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ z y)
(* z (+ (/ 1 y) (/ 1 (* y z))))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (pow z 3))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* -1 (/ y (pow z 3)))
(/ (+ (* -1 y) (/ y z)) (pow z 3))
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (+ (/ y z) (/ y (pow z 3))))) (pow z 3))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ z y)
(* z (+ (/ 1 y) (/ 1 (* y z))))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (pow z 3))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ y (pow z 3))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3)))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* -1 (/ y (pow z 3)))
(* -1 (/ (+ y (* -1 (/ y z))) (pow z 3)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 3)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 3)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z))
(/ z y)
(/.f64 z y)
(* z (+ (/ 1 y) (/ z y)))
(/.f64 (fma.f64 z z z) y)
(* z (+ (/ 1 y) (/ z y)))
(/.f64 (fma.f64 z z z) y)
(* z (+ (/ 1 y) (/ z y)))
(/.f64 (fma.f64 z z z) y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ z y))
(*.f64 (-.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ (/ 1 y) (/ z y))
(*.f64 (-.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ (/ 1 y) (/ z y))
(*.f64 (-.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (* -1 z) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z)
(* (pow z 2) (- (* -1 z) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z)
(* (pow z 2) (- (* -1 z) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ (+ y (* -1 (* y z))) (pow z 2))
(*.f64 (/.f64 y (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) (*.f64 z z))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(/.f64 (*.f64 (-.f64 (*.f64 z y) y) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* y z))) z)
(/.f64 (fma.f64 (neg.f64 z) y y) z)
(/ (+ y (* z (- (* y z) y))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/.f64 (*.f64 (-.f64 (*.f64 z y) y) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(* z (+ 1 z))
(fma.f64 z z z)
(* z (+ 1 z))
(fma.f64 z z z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z))
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) z)
1
#s(literal 1 binary64)
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(* -1 (/ y (pow z 2)))
(/.f64 (/.f64 (neg.f64 y) z) z)
(/ (+ (* -1 y) (* y z)) (pow z 2))
(*.f64 (/.f64 y (*.f64 z z)) (-.f64 z #s(literal 1 binary64)))
(/ (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (pow z 2))
(/.f64 (*.f64 y (-.f64 z (fma.f64 z z #s(literal 1 binary64)))) (*.f64 z z))
(/ (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (*.f64 z y) y)) (*.f64 z z))
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 y (*.f64 z z)) y) x)) (pow.f64 z #s(literal 3 binary64)))
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (fma.f64 z z z) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (fma.f64 z z z) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (fma.f64 z z z) y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ z y)
(/.f64 z y)
(* z (+ (/ 1 y) (/ 1 (* y z))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 y (*.f64 z z)) y) x)) (pow.f64 z #s(literal 3 binary64)))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 y (*.f64 z z)) y) x)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (pow z 3))
(neg.f64 (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z)
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z)
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 y (*.f64 z z)) y) x)) (pow.f64 z #s(literal 3 binary64)))
(/ y (pow z 3))
(/.f64 y (pow.f64 z #s(literal 3 binary64)))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(/ (* x y) (pow z 3))
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rewrite413.0ms (4.3%)

Memory
29.5MiB live, 242.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028142
048138
1190136
21215136
08479136
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 756
Calls
Call 1
Inputs
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z)
(/.f64 x z)
(/.f64 (+.f64 #s(literal 1 binary64) z) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(neg.f64 x)
(*.f64 (neg.f64 z) (fma.f64 z z z))
(neg.f64 z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 (/.f64 y (fma.f64 z z z)) z)
(/.f64 y (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (*.f64 y x) (fma.f64 z z z))
(*.f64 y x)
(+.f64 #s(literal 1 binary64) z)
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
Outputs
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eval553.0ms (5.8%)

Memory
20.3MiB live, 529.4MiB allocated
Compiler

Compiled 39 104 to 4 505 computations (88.5% saved)

prune70.0ms (0.7%)

Memory
-51.6MiB live, 176.7MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New2 451142 465
Fresh5510
Picked415
Done000
Total2 460202 480
Accuracy
100.0%
Counts
2 480 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.2%
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
93.7%
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
73.5%
(/.f64 (/.f64 x z) (*.f64 (/.f64 #s(approx (+ 1 z) #s(literal 1 binary64)) y) z))
69.0%
(/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z))
73.5%
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
97.2%
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x)))
93.4%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
82.5%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
71.6%
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
70.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
66.1%
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 x z) z) y)) z)
71.9%
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
91.5%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
93.3%
(*.f64 (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) z) z) x)
66.0%
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
88.9%
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
74.9%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
78.1%
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
87.3%
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
73.5%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 382 to 297 computations (22.3% saved)

simplify99.0ms (1%)

Memory
27.1MiB live, 142.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
#s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))
cost-diff0
(/.f64 x z)
cost-diff0
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
cost-diff320
(fma.f64 (*.f64 z z) z (*.f64 z z))
cost-diff0
(fma.f64 z z z)
cost-diff0
(*.f64 (fma.f64 z z z) z)
cost-diff0
(/.f64 y (*.f64 (fma.f64 z z z) z))
cost-diff0
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff1600
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x)))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
032180
052180
199177
2172177
3331174
4856174
52041174
64299168
77559168
08406168
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x)))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(-.f64 #s(literal -1 binary64) z)
y
(/.f64 z x)
x
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
y
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 y (*.f64 (fma.f64 z z z) z))
y
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
x
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(*.f64 x y)
x
y
(fma.f64 (*.f64 z z) z (*.f64 z z))
(*.f64 z z)
z
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 x z)
x
z
#s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))
(/.f64 z y)
y
Outputs
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) x) (/.f64 z y))
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(-.f64 #s(literal -1 binary64) z)
y
(/.f64 z x)
x
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
y
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 y (*.f64 (fma.f64 z z z) z))
y
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
x
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 x y)
x
y
(fma.f64 (*.f64 z z) z (*.f64 z z))
(*.f64 (fma.f64 z z z) z)
(*.f64 z z)
z
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 x z)
x
z
#s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))
(/.f64 z y)
y

localize81.0ms (0.8%)

Memory
2.1MiB live, 156.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 z y)
accuracy0
(/.f64 x z)
accuracy1.274700521762771
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
accuracy33.0661238349613
#s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x y)
accuracy9.570234061547826
(fma.f64 (*.f64 z z) z (*.f64 z z))
accuracy11.03268077422281
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
accuracy0
(fma.f64 z z z)
accuracy0.08203125
(*.f64 (fma.f64 z z z) z)
accuracy4.0358637102900445
(/.f64 y (*.f64 (fma.f64 z z z) z))
accuracy4.223312960922957
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
accuracy0
(*.f64 z z)
accuracy4.472060390272853
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy5.946786555351916
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
accuracy23.861135557143967
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(-.f64 #s(literal -1 binary64) z)
accuracy0.01171875
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
accuracy0.8095341820894826
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x)))
accuracy2.0515685868697955
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))
Samples
57.0ms256×0valid
Compiler

Compiled 168 to 32 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 18.0ms (46.2% of total)
ival-mult: 14.0ms (35.9% of total)
ival-add: 5.0ms (12.8% of total)
ival-sub: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
-1.2MiB live, 111.8MiB allocated
Counts
20 → 468
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x)) (patch (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1 binary64) z) y) (patch (/.f64 (-.f64 #s(literal -1 binary64) z) y) #<representation binary64>) () ())
#s(alt (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (patch (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 (fma.f64 z z z) z)) (patch (/.f64 y (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 z z) z (*.f64 z z)) (patch (fma.f64 (*.f64 z z) z (*.f64 z z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) (patch (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) (patch (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) (patch #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) z) (patch (-.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))) #<representation binary64>) () ())) ())
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#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (patch (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (patch (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (patch (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (patch (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ (pow z 2) (pow z 3))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) (patch (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ (pow z 2) (pow z 3))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) (patch (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ (pow z 2) (pow z 3))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) (patch (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ (pow z 2) (pow z 3))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) (patch (/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) (patch (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) (patch (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) (patch (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) (patch (/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@-inf
((/ (/ -1 z) (* (/ (- -1 z) y) (/ z x))) (/ -1 z) (* (/ (- -1 z) y) (/ z x)) (/ (- -1 z) y) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ (* (* z z) z) (* z z)) (/ (* x y) (+ (* (* z z) z) (* z z))) (* x y) (/ (/ x z) (* (/ (+ 1 z) y) z)) (/ x z) (* (/ (+ 1 z) y) z) (/ z y) (- -1 z))
5.0ms
x
@0
((/ (/ -1 z) (* (/ (- -1 z) y) (/ z x))) (/ -1 z) (* (/ (- -1 z) y) (/ z x)) (/ (- -1 z) y) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ (* (* z z) z) (* z z)) (/ (* x y) (+ (* (* z z) z) (* z z))) (* x y) (/ (/ x z) (* (/ (+ 1 z) y) z)) (/ x z) (* (/ (+ 1 z) y) z) (/ z y) (- -1 z))
4.0ms
y
@-inf
((/ (/ -1 z) (* (/ (- -1 z) y) (/ z x))) (/ -1 z) (* (/ (- -1 z) y) (/ z x)) (/ (- -1 z) y) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ (* (* z z) z) (* z z)) (/ (* x y) (+ (* (* z z) z) (* z z))) (* x y) (/ (/ x z) (* (/ (+ 1 z) y) z)) (/ x z) (* (/ (+ 1 z) y) z) (/ z y) (- -1 z))
4.0ms
x
@-inf
((/ (/ -1 z) (* (/ (- -1 z) y) (/ z x))) (/ -1 z) (* (/ (- -1 z) y) (/ z x)) (/ (- -1 z) y) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ (* (* z z) z) (* z z)) (/ (* x y) (+ (* (* z z) z) (* z z))) (* x y) (/ (/ x z) (* (/ (+ 1 z) y) z)) (/ x z) (* (/ (+ 1 z) y) z) (/ z y) (- -1 z))
4.0ms
y
@0
((/ (/ -1 z) (* (/ (- -1 z) y) (/ z x))) (/ -1 z) (* (/ (- -1 z) y) (/ z x)) (/ (- -1 z) y) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ (* (* z z) z) (* z z)) (/ (* x y) (+ (* (* z z) z) (* z z))) (* x y) (/ (/ x z) (* (/ (+ 1 z) y) z)) (/ x z) (* (/ (+ 1 z) y) z) (/ z y) (- -1 z))

simplify183.0ms (1.9%)

Memory
-11.4MiB live, 289.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02024349
16064232
216553803
363433798
081573568
Stop Event
iter limit
node limit
Counts
468 → 467
Calls
Call 1
Inputs
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (/ z (* x y)))
(* z (- (* -1 (/ z (* x y))) (/ 1 (* x y))))
(* z (- (* -1 (/ z (* x y))) (/ 1 (* x y))))
(* z (- (* -1 (/ z (* x y))) (/ 1 (* x y))))
(/ -1 y)
(- (* -1 (/ z y)) (/ 1 y))
(- (* -1 (/ z y)) (/ 1 y))
(- (* -1 (/ z y)) (/ 1 y))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ y (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
z
(* z (+ 1 z))
(* z (+ 1 z))
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
-1
(- (* -1 z) 1)
(- (* -1 z) 1)
(- (* -1 z) 1)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (/ (pow z 2) (* x y)))
(* -1 (* (pow z 2) (+ (/ 1 (* x y)) (/ 1 (* x (* y z))))))
(* -1 (* (pow z 2) (+ (/ 1 (* x y)) (/ 1 (* x (* y z))))))
(* -1 (* (pow z 2) (+ (/ 1 (* x y)) (/ 1 (* x (* y z))))))
(* -1 (/ z y))
(* -1 (* z (+ (/ 1 y) (/ 1 (* y z)))))
(* -1 (* z (+ (/ 1 y) (/ 1 (* y z)))))
(* -1 (* z (+ (/ 1 y) (/ 1 (* y z)))))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -1 z)
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (/ (pow z 2) (* x y)))
(* -1 (* (pow z 2) (+ (/ 1 (* x y)) (/ 1 (* x (* y z))))))
(* -1 (* (pow z 2) (+ (/ 1 (* x y)) (/ 1 (* x (* y z))))))
(* -1 (* (pow z 2) (+ (/ 1 (* x y)) (/ 1 (* x (* y z))))))
(* -1 (/ z y))
(* -1 (* z (+ (/ 1 y) (/ 1 (* y z)))))
(* -1 (* z (+ (/ 1 y) (/ 1 (* y z)))))
(* -1 (* z (+ (/ 1 y) (/ 1 (* y z)))))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ x (pow z 3))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ y (pow z 3))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -1 z)
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (+ 1 z) y))
(* -1 (/ (+ 1 z) y))
(* -1 (/ (+ 1 z) y))
(* -1 (/ (+ 1 z) y))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (+ 1 z) y))
(* -1 (/ (+ 1 z) y))
(* -1 (/ (+ 1 z) y))
(* -1 (/ (+ 1 z) y))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (+ 1 z) y))
(* -1 (/ (+ 1 z) y))
(* -1 (/ (+ 1 z) y))
(* -1 (/ (+ 1 z) y))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ y (* z (+ z (pow z 2))))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(* -1 (/ (* z (+ 1 z)) (* x y)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(/ (* x y) (+ (pow z 2) (pow z 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
Outputs
(/ (* x y) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 x z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (/ z (* x y)))
(/.f64 (/.f64 (neg.f64 z) x) y)
(* z (- (* -1 (/ z (* x y))) (/ 1 (* x y))))
(*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 z x) y))
(* z (- (* -1 (/ z (* x y))) (/ 1 (* x y))))
(*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 z x) y))
(* z (- (* -1 (/ z (* x y))) (/ 1 (* x y))))
(*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 z x) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(- (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(- (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 x z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) z x) z) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 z x) x) z x) z) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z)
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(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
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(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 x z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) z y) z) z)
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
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(fma.f64 z z z)
(* z (+ 1 z))
(fma.f64 z z z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 x z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 x z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ z y)
(/.f64 z y)
(* z (+ (/ 1 y) (/ z y)))
(/.f64 (fma.f64 z z z) y)
(* z (+ (/ 1 y) (/ z y)))
(/.f64 (fma.f64 z z z) y)
(* z (+ (/ 1 y) (/ z y)))
(/.f64 (fma.f64 z z z) y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
-1
#s(literal -1 binary64)
(- (* -1 z) 1)
(-.f64 #s(literal -1 binary64) z)
(- (* -1 z) 1)
(-.f64 #s(literal -1 binary64) z)
(- (* -1 z) 1)
(-.f64 #s(literal -1 binary64) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
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(* -1 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 z (/.f64 (neg.f64 z) x)) y)
(* -1 (* (pow z 2) (+ (/ 1 (* x y)) (/ 1 (* x (* y z))))))
(*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 z x) y))
(* -1 (* (pow z 2) (+ (/ 1 (* x y)) (/ 1 (* x (* y z))))))
(*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 z x) y))
(* -1 (* (pow z 2) (+ (/ 1 (* x y)) (/ 1 (* x (* y z))))))
(*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 z x) y))
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (* z (+ (/ 1 y) (/ 1 (* y z)))))
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(* -1 (* z (+ (/ 1 y) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(* -1 (* z (+ (/ 1 y) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ x (pow z 3))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ y (pow z 3))
(/.f64 y (pow.f64 z #s(literal 3 binary64)))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) (pow.f64 z #s(literal 3 binary64)))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
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(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
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(fma.f64 z z z)
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(fma.f64 z z z)
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
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(/ (* x y) (pow z 3))
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(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
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(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
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rewrite449.0ms (4.7%)

Memory
3.9MiB live, 247.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032158
052158
1219152
21519146
08676146
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 347
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x)))
(/.f64 #s(literal -1 binary64) z)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x))
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 y (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
(fma.f64 (*.f64 z z) z (*.f64 z z))
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(*.f64 x y)
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 x z)
#s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))
(/.f64 z y)
(-.f64 #s(literal -1 binary64) z)
Outputs
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eval433.0ms (4.5%)

Memory
-1.8MiB live, 579.4MiB allocated
Compiler

Compiled 28 570 to 3 330 computations (88.3% saved)

prune55.0ms (0.6%)

Memory
23.5MiB live, 182.8MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 85481 862
Fresh41014
Picked325
Done011
Total1 861211 882
Accuracy
100.0%
Counts
1 882 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.2%
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
71.9%
(/.f64 (/.f64 x #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) z)
73.5%
(/.f64 (/.f64 x z) (*.f64 (/.f64 #s(approx (+ 1 z) #s(literal 1 binary64)) y) z))
69.0%
(/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z))
93.4%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
82.5%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
71.6%
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
70.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
93.3%
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
66.1%
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 x z) z) y)) z)
71.9%
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
78.1%
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
69.9%
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
91.5%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
93.3%
(*.f64 (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) z) z) x)
66.0%
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
95.0%
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)))
64.2%
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
74.9%
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
87.3%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
78.1%
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
Compiler

Compiled 380 to 303 computations (20.3% saved)

simplify222.0ms (2.3%)

Memory
-6.2MiB live, 76.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)
cost-diff0
(*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))
cost-diff0
(neg.f64 x)
cost-diff256
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
cost-diff0
#s(approx (+ (* z z) z) (*.f64 z z))
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z)))
cost-diff0
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)
cost-diff384
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (+ (* z z) z) z) (*.f64 z z))
cost-diff0
(/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z)))
cost-diff0
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
cost-diff0
(-.f64 #s(literal -1 binary64) z)
cost-diff0
(/.f64 y (-.f64 #s(literal -1 binary64) z))
cost-diff192
(*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))
cost-diff640
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032216
052217
1102214
2218214
3504214
41383212
52367212
63743212
75284212
85903212
96185212
106251212
116295212
127075212
137474212
147642212
157648212
167648212
177648212
187802212
08032201
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)))
(/.f64 y (-.f64 #s(literal -1 binary64) z))
y
(-.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))
(/.f64 x z)
x
(/.f64 #s(literal -1 binary64) z)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z)))
y
#s(approx (* (+ (* z z) z) z) (*.f64 z z))
(*.f64 z z)
z
x
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
y
(/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
x
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z)))
(*.f64 y x)
y
x
#s(approx (+ (* z z) z) (*.f64 z z))
(*.f64 z z)
z
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
(neg.f64 x)
x
(*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))
z
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(-.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
y
Outputs
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 y (-.f64 #s(literal -1 binary64) z))
y
(-.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))
(/.f64 (/.f64 (neg.f64 x) z) z)
(/.f64 x z)
x
(/.f64 #s(literal -1 binary64) z)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (+ (* z z) z) z) (*.f64 z z)))
(/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z)))
y
#s(approx (* (+ (* z z) z) z) (*.f64 z z))
(*.f64 z z)
z
x
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 (*.f64 x y) #s(approx (* (+ (* z z) z) z) (*.f64 z z)))
y
(/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)
(/.f64 #s(approx (* (+ (* z z) z) z) (*.f64 z z)) x)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
#s(approx (* (+ (* z z) z) z) (*.f64 z z))
(*.f64 z z)
z
x
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 x y) #s(approx (+ (* z z) z) (*.f64 z z)))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (* z z) z) (*.f64 z z))
(*.f64 z z)
z
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(neg.f64 x)
x
(*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z) z)
z
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
(-.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
y

localize95.0ms (1%)

Memory
-5.0MiB live, 129.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
accuracy0.0859375
(*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))
accuracy0.13671875
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)
accuracy4.242844210922957
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
accuracy0
(*.f64 y x)
accuracy0.44575926984406533
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
accuracy11.757820425442976
(/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z)))
accuracy27.846205300792693
#s(approx (+ (* z z) z) (*.f64 z z))
accuracy0
(*.f64 z z)
accuracy4.767809883513021
(/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)
accuracy6.235114944864446
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
accuracy23.861135557143967
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(*.f64 z z)
accuracy4.0358637102900445
(/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z)))
accuracy4.223312960922957
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
accuracy23.861135557143967
#s(approx (* (+ (* z z) z) z) (*.f64 z z))
accuracy0
(-.f64 #s(literal -1 binary64) z)
accuracy0.01171875
(/.f64 y (-.f64 #s(literal -1 binary64) z))
accuracy0.15234375
(*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))
accuracy3.1262969865976835
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)))
Samples
59.0ms256×0valid
Compiler

Compiled 182 to 30 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 16.0ms (45.8% of total)
ival-mult: 13.0ms (37.2% of total)
ival-sub: 2.0ms (5.7% of total)
ival-add: 2.0ms (5.7% of total)
ival-neg: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory
-5.0MiB live, 66.8MiB allocated
Counts
20 → 480
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (-.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) z) (patch (-.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) (patch (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* z z) z) z) (*.f64 z z)) (patch #s(approx (* (+ (* z z) z) z) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) (patch (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) (patch (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) #<representation binary64>) () ())
#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) (patch (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) z) (*.f64 z z)) (patch #s(approx (+ (* z z) z) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) (patch (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)) (patch (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z) (patch (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1 binary64) z) y) (patch (/.f64 (-.f64 #s(literal -1 binary64) z) y) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 z) (#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (-.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* y z)) (taylor 0 z) (#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (-.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (-.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (-.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 z) (#s(alt (-.f64 #s(literal -1 binary64) z) (patch (-.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) 1) (taylor 0 z) (#s(alt (-.f64 #s(literal -1 binary64) z) (patch (-.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) 1) (taylor 0 z) (#s(alt (-.f64 #s(literal -1 binary64) z) (patch (-.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) 1) (taylor 0 z) (#s(alt (-.f64 #s(literal -1 binary64) z) (patch (-.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ y (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) (patch (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 (* y z))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) (patch (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* z (- (* y z) y))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) (patch (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) (patch (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt #s(approx (* (+ (* z z) z) z) (*.f64 z z)) (patch #s(approx (* (+ (* z z) z) z) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (+ (* z z) z) z) (*.f64 z z)) (patch #s(approx (* (+ (* z z) z) z) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (+ (* z z) z) z) (*.f64 z z)) (patch #s(approx (* (+ (* z z) z) z) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (+ (* z z) z) z) (*.f64 z z)) (patch #s(approx (* (+ (* z z) z) z) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) (patch (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) (patch (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) (patch (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) (patch (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) (patch (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (/ 1 x) (/ z x))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) (patch (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) (patch (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) (patch (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) (patch (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) (patch (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) (patch (/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (+ 1 z)) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) (patch (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (+ 1 z)) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) (patch (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (+ 1 z)) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) (patch (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (+ 1 z)) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) (patch (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) (patch (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) (patch (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) (patch (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) (patch (/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) (patch (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) (patch (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) (patch (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) (patch (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
10.0ms
z
@inf
((* (/ y (- -1 z)) (* (/ x z) (/ -1 z))) (* (/ x z) (/ -1 z)) (/ y (- -1 z)) (- -1 z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* z z) (/ y (/ (* (* z z) (+ z 1)) x)) (/ (* (* z z) (+ z 1)) x) (* (* z z) (+ z 1)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (/ (neg x) (* z (* (/ (- -1 z) y) z))) (neg x) (* z (* (/ (- -1 z) y) z)) (* (/ (- -1 z) y) z) (/ (- -1 z) y))
9.0ms
x
@-inf
((* (/ y (- -1 z)) (* (/ x z) (/ -1 z))) (* (/ x z) (/ -1 z)) (/ y (- -1 z)) (- -1 z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* z z) (/ y (/ (* (* z z) (+ z 1)) x)) (/ (* (* z z) (+ z 1)) x) (* (* z z) (+ z 1)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (/ (neg x) (* z (* (/ (- -1 z) y) z))) (neg x) (* z (* (/ (- -1 z) y) z)) (* (/ (- -1 z) y) z) (/ (- -1 z) y))
8.0ms
x
@0
((* (/ y (- -1 z)) (* (/ x z) (/ -1 z))) (* (/ x z) (/ -1 z)) (/ y (- -1 z)) (- -1 z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* z z) (/ y (/ (* (* z z) (+ z 1)) x)) (/ (* (* z z) (+ z 1)) x) (* (* z z) (+ z 1)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (/ (neg x) (* z (* (/ (- -1 z) y) z))) (neg x) (* z (* (/ (- -1 z) y) z)) (* (/ (- -1 z) y) z) (/ (- -1 z) y))
3.0ms
y
@0
((* (/ y (- -1 z)) (* (/ x z) (/ -1 z))) (* (/ x z) (/ -1 z)) (/ y (- -1 z)) (- -1 z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* z z) (/ y (/ (* (* z z) (+ z 1)) x)) (/ (* (* z z) (+ z 1)) x) (* (* z z) (+ z 1)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (/ (neg x) (* z (* (/ (- -1 z) y) z))) (neg x) (* z (* (/ (- -1 z) y) z)) (* (/ (- -1 z) y) z) (/ (- -1 z) y))
3.0ms
y
@inf
((* (/ y (- -1 z)) (* (/ x z) (/ -1 z))) (* (/ x z) (/ -1 z)) (/ y (- -1 z)) (- -1 z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* z z) (/ y (/ (* (* z z) (+ z 1)) x)) (/ (* (* z z) (+ z 1)) x) (* (* z z) (+ z 1)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (/ (neg x) (* z (* (/ (- -1 z) y) z))) (neg x) (* z (* (/ (- -1 z) y) z)) (* (/ (- -1 z) y) z) (/ (- -1 z) y))

simplify173.0ms (1.8%)

Memory
17.1MiB live, 165.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02094677
16434469
217144107
353634069
082393842
Stop Event
iter limit
node limit
Counts
480 → 479
Calls
Call 1
Inputs
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(* -1 (/ x (pow z 2)))
(* -1 (/ x (pow z 2)))
(* -1 (/ x (pow z 2)))
(* -1 (/ x (pow z 2)))
(* -1 y)
(+ (* -1 y) (* y z))
(+ (* -1 y) (* z (+ y (* -1 (* y z)))))
(+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z))))))
-1
(- (* -1 z) 1)
(- (* -1 z) 1)
(- (* -1 z) 1)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ y (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
z
(* z (+ 1 z))
(* z (+ 1 z))
(* z (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ z y)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ z y)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ z y)) (/ 1 y)))
(* -1 (/ z y))
(* z (- (* -1 (/ z y)) (/ 1 y)))
(* z (- (* -1 (/ z y)) (/ 1 y)))
(* z (- (* -1 (/ z y)) (/ 1 y)))
(/ -1 y)
(- (* -1 (/ z y)) (/ 1 y))
(- (* -1 (/ z y)) (/ 1 y))
(- (* -1 (/ z y)) (/ 1 y))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ x (pow z 2)))
(* -1 (/ x (pow z 2)))
(* -1 (/ x (pow z 2)))
(* -1 (/ x (pow z 2)))
(* -1 (/ y z))
(/ (+ (* -1 y) (/ y z)) z)
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (+ (/ y z) (/ y (pow z 3))))) z)
(* -1 z)
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (pow z 3) y))
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Outputs
(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
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(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 x (*.f64 y (-.f64 z (fma.f64 z z #s(literal 1 binary64))))) z (*.f64 y x)) (*.f64 z z))
(* -1 (/ x (pow z 2)))
(/.f64 (/.f64 (neg.f64 x) z) z)
(* -1 (/ x (pow z 2)))
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(* -1 (/ x (pow z 2)))
(/.f64 (/.f64 (neg.f64 x) z) z)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* y z))
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(+ (* -1 y) (* z (+ y (* -1 (* y z)))))
(*.f64 y (-.f64 z (fma.f64 z z #s(literal 1 binary64))))
(+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z))))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z y (neg.f64 y)))
-1
#s(literal -1 binary64)
(- (* -1 z) 1)
(-.f64 #s(literal -1 binary64) z)
(- (* -1 z) 1)
(-.f64 #s(literal -1 binary64) z)
(- (* -1 z) 1)
(-.f64 #s(literal -1 binary64) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
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(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
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(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
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(/ (pow z 2) x)
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(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z y) y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 x (*.f64 y (-.f64 z (fma.f64 z z #s(literal 1 binary64))))) z (*.f64 y x)) (*.f64 z z))
(/ (* x y) z)
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(/ (+ (* -1 (* x (* y z))) (* x y)) z)
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(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/.f64 (fma.f64 (*.f64 x (*.f64 y (-.f64 z (fma.f64 z z #s(literal 1 binary64))))) z (*.f64 y x)) z)
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(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
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(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
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(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 x (*.f64 y (-.f64 z (fma.f64 z z #s(literal 1 binary64))))) z (*.f64 y x)) (*.f64 z z))
(* -1 (/ (pow z 2) y))
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(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
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(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
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(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
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(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
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(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
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(*.f64 (/.f64 (fma.f64 z z z) x) z)
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(*.f64 (/.f64 (fma.f64 z z z) x) z)
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(*.f64 (/.f64 (fma.f64 z z z) x) z)
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(*.f64 (/.f64 (fma.f64 z z z) x) z)
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(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
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(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (+ z (pow z 2)))
(*.f64 (/.f64 x (fma.f64 z z z)) y)
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(*.f64 (/.f64 x (fma.f64 z z z)) y)
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(*.f64 (/.f64 x (fma.f64 z z z)) y)
(/ (* x y) (+ z (pow z 2)))
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(* x y)
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(* x y)
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(* x y)
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(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite189.0ms (2%)

Memory
0.7MiB live, 252.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032184
052185
1194182
21297180
08538169
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 373
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))
(/.f64 y (-.f64 #s(literal -1 binary64) z))
(-.f64 #s(literal -1 binary64) z)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z)))
#s(approx (* (+ (* z z) z) z) (*.f64 z z))
(*.f64 z z)
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z)))
(*.f64 y x)
#s(approx (+ (* z z) z) (*.f64 z z))
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
(neg.f64 x)
(*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)
(/.f64 (-.f64 #s(literal -1 binary64) z) y)
Outputs
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eval268.0ms (2.8%)

Memory
-12.6MiB live, 407.1MiB allocated
Compiler

Compiled 29 923 to 3 315 computations (88.9% saved)

prune57.0ms (0.6%)

Memory
21.2MiB live, 143.3MiB allocated
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New1 96371 970
Fresh21113
Picked235
Done033
Total1 967241 991
Accuracy
100.0%
Counts
1 991 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.2%
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
71.9%
(/.f64 (/.f64 x #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) z)
73.5%
(/.f64 (/.f64 x z) (*.f64 (/.f64 #s(approx (+ 1 z) #s(literal 1 binary64)) y) z))
69.0%
(/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z))
63.2%
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
93.4%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
82.5%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
71.6%
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
59.4%
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
70.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
67.9%
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))
71.9%
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
93.1%
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
68.6%
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) z)
78.1%
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
69.9%
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
93.3%
(*.f64 (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) z) z) x)
66.0%
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
64.2%
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
66.4%
(*.f64 (/.f64 y #s(approx (- -1 z) (neg.f64 z))) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)))
74.9%
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
63.6%
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
87.3%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
78.1%
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
Compiler

Compiled 696 to 323 computations (53.6% saved)

regimes77.0ms (0.8%)

Memory
-9.4MiB live, 110.4MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 (/.f64 x #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) z)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 x z) z) y)) z)
(/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z))
(/.f64 (/.f64 x z) (*.f64 (/.f64 #s(approx (+ 1 z) #s(literal 1 binary64)) y) z))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) z) z) x)
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
(*.f64 (/.f64 y #s(approx (- -1 z) (neg.f64 z))) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) (/.f64 z x)))
(*.f64 (/.f64 y z) (*.f64 (/.f64 x z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
Outputs
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
Calls

6 calls:

13.0ms
x
13.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
13.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
12.0ms
y
12.0ms
z
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
98.0%1z
98.0%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
98.0%1(*.f64 x y)
98.0%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes85.0ms (0.9%)

Memory
-37.9MiB live, 108.2MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 (/.f64 x #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) z)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 x z) z) y)) z)
(/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z))
(/.f64 (/.f64 x z) (*.f64 (/.f64 #s(approx (+ 1 z) #s(literal 1 binary64)) y) z))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) z) z) x)
Outputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
Calls

6 calls:

23.0ms
x
17.0ms
z
14.0ms
(*.f64 x y)
11.0ms
y
9.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.5%2x
97.7%2y
99.1%3z
98.8%3(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
98.9%2(*.f64 x y)
99.1%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes59.0ms (0.6%)

Memory
2.5MiB live, 79.3MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 (/.f64 x #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) z)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 x z) z) y)) z)
(/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z))
(/.f64 (/.f64 x z) (*.f64 (/.f64 #s(approx (+ 1 z) #s(literal 1 binary64)) y) z))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
Outputs
(/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
Calls

5 calls:

16.0ms
y
11.0ms
z
10.0ms
x
10.0ms
(*.f64 x y)
10.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.0%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
99.0%3z
96.7%2y
96.8%2x
97.1%2(*.f64 x y)
Compiler

Compiled 13 to 20 computations (-53.8% saved)

regimes79.0ms (0.8%)

Memory
-1.7MiB live, 36.5MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 (/.f64 x #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) z)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 x z) z) y)) z)
Outputs
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
Calls

3 calls:

60.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
9.0ms
z
8.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
96.9%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
98.7%3z
98.7%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 19 to 19 computations (0% saved)

regimes26.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 (/.f64 x #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
Outputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))
Calls

3 calls:

9.0ms
z
8.0ms
(*.f64 x y)
8.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
97.1%2(*.f64 x y)
98.0%3z
98.0%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes88.0ms (0.9%)

Memory
3.9MiB live, 81.0MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 (/.f64 x #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))
Outputs
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))
Calls

6 calls:

42.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
12.0ms
z
9.0ms
x
9.0ms
y
8.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
97.8%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
97.8%3z
93.4%1y
95.3%2x
96.2%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
95.3%2(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes60.0ms (0.6%)

Memory
1.8MiB live, 38.3MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (/.f64 x z) #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)))
(/.f64 (/.f64 x #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y))) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
Outputs
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z)
Calls

3 calls:

44.0ms
z
7.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
7.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
96.2%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
95.0%2z
95.0%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 19 to 19 computations (0% saved)

regimes49.0ms (0.5%)

Memory
-14.9MiB live, 68.5MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
Calls

6 calls:

12.0ms
z
7.0ms
y
7.0ms
x
7.0ms
(*.f64 x y)
6.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
93.5%2y
95.2%3z
95.2%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
91.5%1x
95.8%3(*.f64 x y)
91.5%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes8.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
Calls

1 calls:

7.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
95.8%3(*.f64 x y)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes50.0ms (0.5%)

Memory
-5.2MiB live, 69.1MiB allocated
Counts
22 → 4
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
(/.f64 (*.f64 x y) (fma.f64 (*.f64 z z) z (*.f64 z z)))
(/.f64 (*.f64 (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) y) z)
(/.f64 (/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) z)
Outputs
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x)
Calls

6 calls:

15.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
7.0ms
z
6.0ms
x
6.0ms
y
6.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
88.9%1x
91.0%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
91.6%2y
96.0%4(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
95.7%4z
94.3%3(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes11.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))))
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
Calls

2 calls:

5.0ms
(*.f64 x y)
5.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
94.3%3(*.f64 x y)
93.3%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes29.0ms (0.3%)

Memory
-18.5MiB live, 20.5MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 x (*.f64 #s(approx (* (/ (+ 1 z) y) z) (/.f64 z y)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Calls

2 calls:

24.0ms
(*.f64 x y)
4.0ms
z
Results
AccuracySegmentsBranch
93.3%3z
92.2%2(*.f64 x y)
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes21.0ms (0.2%)

Memory
-14.1MiB live, 28.7MiB allocated
Counts
9 → 4
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
Outputs
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
Calls

5 calls:

8.0ms
y
3.0ms
z
3.0ms
(*.f64 x y)
3.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
3.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
87.3%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
90.0%2y
93.9%4z
94.2%4(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
90.6%2(*.f64 x y)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes14.0ms (0.1%)

Memory
23.7MiB live, 23.7MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Outputs
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
Calls

5 calls:

3.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(*.f64 x y)
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
81.4%2y
80.4%2x
81.4%2(*.f64 x y)
91.5%3z
91.5%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 13 to 20 computations (-53.8% saved)

regimes49.0ms (0.5%)

Memory
-26.5MiB live, 11.3MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
Outputs
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
Calls

3 calls:

44.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
2.0ms
z
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
83.3%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
89.3%3z
89.3%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 19 to 19 computations (0% saved)

regimes12.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Accuracy

Total -6.6b remaining (-47.3%)

Threshold costs -6.6b (-47.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 (/.f64 y #s(approx (* (+ (* z z) z) z) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
Outputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
Calls

6 calls:

2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(*.f64 x y)
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
78.1%1x
78.1%1(*.f64 x y)
78.1%1y
78.1%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
78.1%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
78.1%1z
Compiler

Compiled 24 to 29 computations (-20.8% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8786430453427937e+159
4.29410892719787e+162
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch28.0ms (0.3%)

Memory
7.7MiB live, 44.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.3227404491018478e-72
4.11120858292768e-71
10.0ms
-9.513693640820141e+21
-9.723476029759765e+19
Samples
17.0ms224×0valid
Compiler

Compiled 322 to 281 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 6.0ms (51.6% of total)
ival-mult: 4.0ms (34.4% of total)
ival-div: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0129144886928747e-113
1.0529252003049509e-109
0.0ms
-5.201819684757741e+202
-6.511995522176321e+195
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.214779330387853e+113
3.6491634520840687e+118
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch28.0ms (0.3%)

Memory
11.7MiB live, 48.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
207842549174282.6
2.134706832222753e+22
12.0ms
-1.8674029093308263e+65
-3.987776364078197e+64
Samples
16.0ms240×0valid
Compiler

Compiled 344 to 300 computations (12.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (65.4% of total)
ival-div: 1.0ms (13.1% of total)
ival-add: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3263301666541898e+62
2.5380968446637183e+99
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.509821734441e+111
7.214779330387853e+113
0.0ms
4.306619743647471e-291
5.2960873743331254e-284
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.004291979784185e+142
3.6316072552409233e+149
0.0ms
4.306619743647471e-291
5.2960873743331254e-284
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch24.0ms (0.2%)

Memory
-50.3MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.1134219629516146e+37
7.192584554030692e+40
0.0ms
0.0
1.73926e-319
0.0ms
-5.897201259524691e+36
-2.669836797231044e+19
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.533011531691953e+100
7.388436031774118e+101
0.0ms
4.306619743647471e-291
5.2960873743331254e-284
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.306619743647471e-291
5.2960873743331254e-284
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.1134219629516146e+37
7.192584554030692e+40
0.0ms
0.0
1.73926e-319
0.0ms
-5.897201259524691e+36
-2.669836797231044e+19
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.002412143728904484
22701884808817.8
0.0ms
-5.897201259524691e+36
-2.669836797231044e+19
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch29.0ms (0.3%)

Memory
30.2MiB live, 30.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.047976203757727064
28314.932196227106
13.0ms
-1806683104531.8052
-2988786.9153932533
Samples
16.0ms288×0valid
Compiler

Compiled 338 to 321 computations (5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (55.5% of total)
ival-div: 2.0ms (22.2% of total)
ival-add: 1.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify85.0ms (0.9%)

Memory
-15.5MiB live, 59.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0145813
1178813
2191813
3211813
4231813
5248813
6264810
7287810
8371810
9579810
10888810
111217810
121504810
131694810
141749810
151782810
161801810
171804810
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
(if (<=.f64 (*.f64 x y) #s(literal 1999999999999999856969387974336841544611466940118938136259861775855544812609788247233480561009492401147963340862836599047403467459377561298838125765673390964736 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z))))
(if (<=.f64 z #s(literal -100000000000000000000 binary64)) (/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z)) (if (<=.f64 z #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) z) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))))
(if (<=.f64 (*.f64 x y) #s(literal 1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))))
(if (<=.f64 z #s(literal -40000000000000000852816760378175874892050314850718597870973353984 binary64)) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z))) (if (<=.f64 z #s(literal 6500000000000000 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z))
(if (<=.f64 (*.f64 x y) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 x y) #s(literal 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))))
(if (<=.f64 (*.f64 x y) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 x y) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4999999999999999769381329101060571136 binary64)) (*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 0 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 49999999999999998874404911728017014784 binary64)) #s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) (*.f64 (/.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) z) x))))
(if (<=.f64 (*.f64 x y) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 x y) #s(literal 49999999999999998852475663262266831422342135996207500306499798736599672609039495565163064724075577344 binary64)) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))))
(if (<=.f64 (*.f64 x y) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4999999999999999769381329101060571136 binary64)) (*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 0 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 49999999999999998874404911728017014784 binary64)) #s(approx (/ (/ (* y x) (+ (* z z) z)) z) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) (*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x))))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4999999999999999769381329101060571136 binary64)) (*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)))
(if (<=.f64 z #s(literal -3000000 binary64)) (*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x) (if (<=.f64 z #s(literal 1 binary64)) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)))
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
Outputs
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
(/.f64 (/.f64 x z) (*.f64 (/.f64 (-.f64 z #s(literal -1 binary64)) y) z))
(if (<=.f64 (*.f64 x y) #s(literal 1999999999999999856969387974336841544611466940118938136259861775855544812609788247233480561009492401147963340862836599047403467459377561298838125765673390964736 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (*.f64 y x) #s(literal 1999999999999999856969387974336841544611466940118938136259861775855544812609788247233480561009492401147963340862836599047403467459377561298838125765673390964736 binary64)) (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) (*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) (/.f64 (/.f64 y z) z)))
(if (<=.f64 z #s(literal -100000000000000000000 binary64)) (/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z)) (if (<=.f64 z #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))))
(if (<=.f64 z #s(literal -100000000000000000000 binary64)) (/.f64 (/.f64 x z) (*.f64 #s(approx (/ (+ 1 z) y) (/.f64 z y)) z)) (if (<=.f64 z #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z) (/.f64 x (*.f64 (*.f64 (/.f64 (-.f64 z #s(literal -1 binary64)) y) z) z))))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) z) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)))))
(if (<=.f64 (*.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64))) #s(literal -49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) (/.f64 x z))) z) (if (<=.f64 (*.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64))) #s(literal 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) (/.f64 x (*.f64 (*.f64 (/.f64 (-.f64 z #s(literal -1 binary64)) y) z) z))))
(if (<=.f64 (*.f64 x y) #s(literal 1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z))))
(if (<=.f64 (*.f64 y x) #s(literal 1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) (/.f64 x (*.f64 (*.f64 (/.f64 (-.f64 z #s(literal -1 binary64)) y) z) z)))
(if (<=.f64 z #s(literal -40000000000000000852816760378175874892050314850718597870973353984 binary64)) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z))) (if (<=.f64 z #s(literal 6500000000000000 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (neg.f64 x) (*.f64 z (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z)))))
(if (<=.f64 z #s(literal -40000000000000000852816760378175874892050314850718597870973353984 binary64)) (/.f64 (neg.f64 x) (*.f64 (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z) z)) (if (<=.f64 z #s(literal 6500000000000000 binary64)) (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) (/.f64 (neg.f64 x) (*.f64 (*.f64 (/.f64 #s(approx (- -1 z) (neg.f64 z)) y) z) z))))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z))
(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64)))) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) z))
(if (<=.f64 (*.f64 x y) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 x y) #s(literal 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))))
(if (<=.f64 (*.f64 y x) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 y z) (/.f64 x z))) (if (<=.f64 (*.f64 y x) #s(literal 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (/.f64 x (*.f64 (/.f64 (fma.f64 z z z) y) z))))
(if (<=.f64 (*.f64 x y) #s(literal 3511119404027961/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 x y) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)))
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(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)

soundness2.1s (21.7%)

Memory
8.5MiB live, 1 351.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028142
048138
1190136
21215136
08479136
063683
1202664
2577646
33492628
08400593
01964424
15824207
214964022
352563964
084493739
02024349
16064232
216553803
363433798
081573568
02094677
16434469
217144107
353634069
082393842
032158
052158
1219152
21519146
08676146
0927
01427
15527
233827
3320427
0848825
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 674 to 777 computations (53.6% saved)

preprocess495.0ms (5.2%)

Memory
22.9MiB live, 448.9MiB allocated
Compiler

Compiled 2 010 to 758 computations (62.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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