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

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze108.0ms (1.2%)

Memory
-16.7MiB live, 60.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
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)

sample973.0ms (10.7%)

Memory
2.1MiB live, 1 232.7MiB allocated
Samples
695.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 407.0ms
ival-mult: 207.0ms (50.8% of total)
ival-add: 101.0ms (24.8% of total)
ival-div: 86.0ms (21.1% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain101.0ms (1.1%)

Memory
27.5MiB live, 231.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
460-3(-9.087179594055327e-180 -5.631702449097799e+147 4.9182272219023265e-158)(/.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))))u/u120
(*.f64 x y)underflow36
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow57
(*.f64 z z)underflow57
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/o100
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow87
(*.f64 z z)overflow57
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/n80
(*.f64 x y)underflow36
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/o60
(*.f64 x y)overflow26
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow87
(*.f64 z z)overflow57
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/u60
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow57
(*.f64 z z)underflow57
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/n10
(*.f64 x y)overflow26
Confusion
Predicted +Predicted -
+433
-0210
Precision
1.0
Recall
0.9347826086956522
Confusion?
Predicted +Predicted MaybePredicted -
+4303
-00210
Precision?
1.0
Recall?
0.9347826086956522
Freqs
test
numberfreq
0213
143
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 108 to 40 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (57.8% of total)
ival-add: 4.0ms (23.1% of total)
ival-div: 3.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess51.0ms (0.6%)

Memory
-6.5MiB live, 73.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034110
1149102
2625101
3327299
4570899
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
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.0%
(/.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
-26.7MiB live, 12.2MiB 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)

localize23.0ms (0.2%)

Memory
14.4MiB live, 53.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x y)
accuracy0.0390625
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy10.119164466928403
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Samples
17.0ms256×0valid
Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (59.8% of total)
ival-add: 2.0ms (23.9% of total)
ival-div: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
-15.9MiB live, 23.3MiB 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
2.0ms
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))))

simplify196.0ms (2.2%)

Memory
22.3MiB live, 263.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063683
1202664
2600646
33538628
08381593
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 (-.f64 #s(literal 1 binary64) z) 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 (-.f64 #s(literal 1 binary64) z) 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))

rewrite146.0ms (1.6%)

Memory
1.5MiB live, 318.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01427
15527
233827
3323027
0870625
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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eval68.0ms (0.8%)

Memory
-1.2MiB live, 191.5MiB allocated
Compiler

Compiled 9 982 to 1 516 computations (84.8% saved)

prune57.0ms (0.6%)

Memory
-20.2MiB live, 106.0MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New56710577
Fresh000
Picked011
Done000
Total56711578
Accuracy
100.0%
Counts
578 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.2%
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
96.5%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
84.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
95.9%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
84.0%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.5%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
92.8%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
92.2%
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
84.9%
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
84.5%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
75.0%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 213 to 161 computations (24.4% saved)

simplify169.0ms (1.9%)

Memory
29.7MiB live, 144.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 (fma.f64 z z z) y)
cost-diff0
(*.f64 z (/.f64 (fma.f64 z z z) y))
cost-diff0
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (fma.f64 z z z))
cost-diff0
(neg.f64 y)
cost-diff256
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
cost-diff-384
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
cost-diff0
(fma.f64 z z z)
cost-diff0
(*.f64 (fma.f64 z z z) z)
cost-diff0
(*.f64 y x)
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
(fma.f64 z z z)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026156
044154
198152
2214152
3646152
42853152
54655152
65625152
75974152
86075152
96120152
106526152
117390152
127777152
137877152
147927152
157929152
08041152
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(fma.f64 z z z)
(/.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 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(neg.f64 y)
y
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))
x
(*.f64 (neg.f64 z) (fma.f64 z z z))
(neg.f64 z)
z
(fma.f64 z z z)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
x
(*.f64 z (/.f64 (fma.f64 z z z) y))
z
(/.f64 (fma.f64 z z z) y)
(fma.f64 z z z)
y
Outputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 x z)
x
z
y
(fma.f64 z z z)
(/.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 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 y x)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(neg.f64 y)
y
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (*.f64 z z))
x
(*.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 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
x
(*.f64 z (/.f64 (fma.f64 z z z) y))
(*.f64 (/.f64 (fma.f64 z z z) y) z)
z
(/.f64 (fma.f64 z z z) y)
(fma.f64 z z z)
y

localize70.0ms (0.8%)

Memory
16.7MiB live, 171.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 z z z)
accuracy0.08984375
(*.f64 z (/.f64 (fma.f64 z z z) y))
accuracy4.372330826779988
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
accuracy5.243079062402864
(/.f64 (fma.f64 z z z) y)
accuracy0
(neg.f64 y)
accuracy0.046875
(*.f64 (neg.f64 z) (fma.f64 z z z))
accuracy4.657282809641625
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
accuracy6.807916799818907
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))
accuracy0
(fma.f64 z z z)
accuracy0
(*.f64 y x)
accuracy0.046875
(*.f64 (fma.f64 z z z) z)
accuracy10.119164466928403
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x y)
accuracy10.119164466928403
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy25.227563916101662
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(fma.f64 z z z)
accuracy0
(/.f64 x z)
accuracy1.887135136038222
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
accuracy5.639352658225089
(*.f64 (/.f64 x z) y)
Samples
49.0ms256×0valid
Compiler

Compiled 305 to 48 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 16.0ms (48.3% of total)
ival-div: 12.0ms (36.2% of total)
ival-add: 3.0ms (9.1% of total)
ival-neg: 2.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
-24.7MiB live, 122.7MiB allocated
Counts
19 → 444
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<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 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<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 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ())
#s(alt (*.f64 z (/.f64 (fma.f64 z z z) y)) (patch (*.f64 z (/.f64 (fma.f64 z z z) y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 z z z) y) (patch (/.f64 (fma.f64 z z z) y) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.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 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z 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 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.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 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x 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>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#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 (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#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 (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#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 (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#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 (* 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) (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) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.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 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.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 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.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 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.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 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ x (* (neg z) (+ (* z z) z))))
7.0ms
y
@inf
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ x (* (neg z) (+ (* z z) z))))
5.0ms
x
@0
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ x (* (neg z) (+ (* z z) z))))
5.0ms
z
@0
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ x (* (neg z) (+ (* z z) z))))
4.0ms
y
@-inf
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ x (* (neg z) (+ (* z z) z))))

simplify255.0ms (2.8%)

Memory
-27.4MiB live, 324.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01433855
14413745
211933536
342453446
082383235
Stop Event
iter limit
node limit
Counts
444 → 443
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))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x 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))
(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)
(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))
(* -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))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(* -1 (/ x (pow z 2)))
(/ (+ (* -1 x) (* x z)) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x 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))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(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))
(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)
(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))
(* -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))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y 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))))
(* -1 (/ x (pow z 3)))
(/ (+ (* -1 x) (/ x z)) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (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 (/ (+ (* -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) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(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 (/ (- (/ (* 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)
(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 (/ (+ (* -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 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)))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y 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))))
(* -1 (/ x (pow z 3)))
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3)))
(/ (* 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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)
(* 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))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))))
(/ (* 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)) 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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)
(* 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))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))))
(/ (* 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)) 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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)
(* 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))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))))
(/ (* 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)) 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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)
(* 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))))
(/ (* 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 (* z (+ z (pow z 2)))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (* 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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)
(* 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))))
(/ (* 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 (* z (+ z (pow z 2)))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (* 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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)
(* 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))))
(/ (* 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 (* z (+ z (pow z 2)))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (* z (+ z (pow z 2)))))
Outputs
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 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 (-.f64 #s(literal 1 binary64) z) y) x)) (*.f64 z z))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x 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 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 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 (-.f64 #s(literal 1 binary64) z) y) x)) (*.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)
(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 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 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 (-.f64 #s(literal 1 binary64) z) y) x)) (*.f64 z z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 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 (-.f64 #s(literal 1 binary64) z) y) x)) (*.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 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 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 (-.f64 #s(literal 1 binary64) z) y) x)) (*.f64 z z))
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(/ 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)
(* -1 (/ x (pow z 2)))
(/.f64 (/.f64 (neg.f64 x) z) z)
(/ (+ (* -1 x) (* x z)) (pow z 2))
(/.f64 (/.f64 (fma.f64 z x (neg.f64 x)) z) z)
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2))
(/.f64 (*.f64 x (-.f64 z (fma.f64 z z #s(literal 1 binary64)))) (*.f64 z z))
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z x (neg.f64 x))) (*.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 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (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 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x 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))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (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 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (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)
(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 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (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 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (* 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 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (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 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (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 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (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 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (pow z 3) y)
(/.f64 (pow.f64 z #s(literal 3 binary64)) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
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rewrite231.0ms (2.5%)

Memory
26.7MiB live, 340.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026129
044127
1167125
2957125
08944125
Stop Event
iter limit
node limit
iter limit
Counts
19 → 2 267
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(fma.f64 z z z)
(/.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 y x)
(*.f64 (fma.f64 z z z) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(neg.f64 y)
(*.f64 (neg.f64 z) (fma.f64 z z z))
(neg.f64 z)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(*.f64 z (/.f64 (fma.f64 z z z) y))
(/.f64 (fma.f64 z z z) y)
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Outputs
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eval387.0ms (4.3%)

Memory
33.2MiB live, 927.6MiB allocated
Compiler

Compiled 50 279 to 4 367 computations (91.3% saved)

prune181.0ms (2%)

Memory
-6.4MiB live, 195.2MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New3 002113 013
Fresh235
Picked325
Done011
Total3 007173 024
Accuracy
100.0%
Counts
3 024 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.2%
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
95.9%
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
62.4%
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
84.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
57.8%
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
84.0%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.5%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
62.4%
(/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y)))
68.1%
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
62.8%
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
67.5%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
84.9%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
81.7%
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
84.5%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
75.4%
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
67.1%
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
75.0%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 295 to 239 computations (19% saved)

simplify10.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 (/.f64 z y) z)
cost-diff0
#s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))
cost-diff0
(*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))
cost-diff-384
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
cost-diff0
(/.f64 z y)
cost-diff0
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
cost-diff0
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
cost-diff0
(/.f64 y z)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) (/.f64 y z))
cost-diff0
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
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
(fma.f64 z z z)
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030200
045200
186196
2151196
3242196
4336196
5364196
6369196
0369196
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(fma.f64 z z z)
(*.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
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x z) (/.f64 y z))
(/.f64 x z)
x
z
(/.f64 y z)
y
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
x
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
z
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
(/.f64 z y)
y
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
x
(*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))
z
#s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))
(*.f64 (/.f64 z y) z)
(/.f64 z y)
y
Outputs
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 y z) x)
(*.f64 x (/.f64 y z))
(/.f64 y z)
y
z
x
(fma.f64 z z z)
(*.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
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y))
(*.f64 (/.f64 x z) (/.f64 y z))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/.f64 x z)
x
z
(/.f64 y z)
y
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
x
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
(*.f64 #s(approx (/ (+ (* z z) z) y) (/.f64 z y)) z)
z
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
(/.f64 z y)
y
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))
x
(*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))
(*.f64 #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)) z)
z
#s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))
(*.f64 (/.f64 z y) z)
(/.f64 z y)
y

localize168.0ms (1.9%)

Memory
-29.9MiB live, 86.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))
accuracy0.12890625
(*.f64 (/.f64 z y) z)
accuracy4.372330826779988
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
accuracy18.04201631584435
#s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))
accuracy0
(/.f64 z y)
accuracy0.08984375
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
accuracy4.372330826779988
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
accuracy31.178044462683562
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
accuracy0
(/.f64 y z)
accuracy0
(/.f64 x z)
accuracy2.8003406234667914
(*.f64 (/.f64 x z) (/.f64 y z))
accuracy16.78617695543197
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
accuracy0
(*.f64 z z)
accuracy4.657282809641625
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
accuracy6.807916799818907
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy25.227563916101662
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(fma.f64 z z z)
accuracy0
(/.f64 y z)
accuracy1.887135136038222
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
accuracy4.537217134151729
(*.f64 (/.f64 y z) x)
Samples
108.0ms256×0valid
Compiler

Compiled 292 to 46 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-div: 57.0ms (61.3% of total)
ival-mult: 32.0ms (34.4% of total)
ival-add: 3.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series89.0ms (1%)

Memory
19.4MiB live, 60.3MiB allocated
Counts
19 → 504
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x z) (/.f64 y z)) (patch (*.f64 (/.f64 x z) (/.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) (patch (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* z z) z) y) (/.f64 z y)) (patch #s(approx (/ (+ (* z z) z) y) (/.f64 z y)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())
#s(alt (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))) (patch (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))) #<representation binary64>) () ())
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Outputs
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#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#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 (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#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 (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#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 (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#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 (/ 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) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 y z)) (patch (*.f64 (/.f64 x z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 y z)) (patch (*.f64 (/.f64 x z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 y z)) (patch (*.f64 (/.f64 x z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 y z)) (patch (*.f64 (/.f64 x z) (/.f64 y 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>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
55.0ms
x
@inf
((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ x z) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* (/ z y) z) (/ x (* z (/ (+ (* z z) z) y))))
4.0ms
y
@-inf
((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ x z) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* (/ z y) z) (/ x (* z (/ (+ (* z z) z) y))))
3.0ms
x
@-inf
((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ x z) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* (/ z y) z) (/ x (* z (/ (+ (* z z) z) y))))
3.0ms
z
@-inf
((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ x z) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* (/ z y) z) (/ x (* z (/ (+ (* z z) z) y))))
3.0ms
y
@0
((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ x z) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* (/ z y) z) (/ x (* z (/ (+ (* z z) z) y))))

simplify670.0ms (7.4%)

Memory
-16.3MiB live, 194.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01374450
14164342
210904076
346303984
082333728
Stop Event
iter limit
node limit
Counts
504 → 503
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))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ 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 (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))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/ 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)
(/ (* 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) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) 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 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) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(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 (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))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y 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)
(/ (* 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) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y 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))))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) 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))
(/ (* 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) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(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 (/ (- (/ (* 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 (/ (- (/ (* 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 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y 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)
(/ (* 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)))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y 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))))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (* 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) (* 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y 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) (* (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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* 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)) y)
(/ z y)
(/ z y)
(/ z y)
(/ z 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))))
(/ (* 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)) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) 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))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y 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) (* (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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* 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)) y)
(/ z y)
(/ z y)
(/ z y)
(/ z 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))))
(/ (* 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)) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) 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))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y 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) (* (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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* 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)) y)
(/ z y)
(/ z y)
(/ z y)
(/ z 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))))
(/ (* 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)) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) 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))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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 (* (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) (* (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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ x z)
(/ x z)
(/ x z)
(/ x 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) (* 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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 (* (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) (* (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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ x z)
(/ x z)
(/ x z)
(/ x 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) (* 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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 (* (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) (* (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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ x z)
(/ x z)
(/ x z)
(/ x 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) (* 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))))
Outputs
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (*.f64 z z))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y 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 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) 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 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 x) z x)) (*.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 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (*.f64 z z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(/ 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)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (*.f64 z z))
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(/ 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)
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (*.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 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (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 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y 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))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (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 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (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))
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(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
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(/ x z)
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(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
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(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
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(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
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rewrite123.0ms (1.4%)

Memory
-5.2MiB live, 225.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030179
045179
1160175
2952175
08569175
Stop Event
iter limit
node limit
iter limit
Counts
19 → 892
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(fma.f64 z z z)
(*.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)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x z) (/.f64 y z))
(/.f64 x z)
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
(/.f64 z y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))
#s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))
(*.f64 (/.f64 z y) z)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
Outputs
#<batchref>
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eval203.0ms (2.2%)

Memory
8.3MiB live, 415.9MiB allocated
Compiler

Compiled 19 655 to 2 512 computations (87.2% saved)

prune39.0ms (0.4%)

Memory
-4.6MiB live, 120.8MiB allocated
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New1 49941 503
Fresh369
Picked055
Done033
Total1 502181 520
Accuracy
100.0%
Counts
1 520 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.5%
(/.f64 (/.f64 x #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))) z)
95.9%
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
62.9%
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
62.4%
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
84.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
57.8%
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
84.0%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.5%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
62.4%
(/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y)))
68.1%
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
62.8%
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
67.5%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
84.9%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
84.5%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
75.4%
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
70.5%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
81.8%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
75.0%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 265 to 213 computations (19.6% saved)

simplify274.0ms (3%)

Memory
35.1MiB live, 295.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* z z) z) (*.f64 z z))
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (fma.f64 z z z))
cost-diff0
(neg.f64 x)
cost-diff640
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
cost-diff0
(/.f64 z x)
cost-diff0
(*.f64 (/.f64 z x) z)
cost-diff0
(/.f64 y (*.f64 (/.f64 z x) z))
cost-diff0
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
cost-diff0
(fma.f64 z z z)
cost-diff0
(*.f64 (fma.f64 z z z) z)
cost-diff0
(/.f64 x (*.f64 (fma.f64 z z z) z))
cost-diff0
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031188
050186
1109182
2247182
3713182
42887182
54582182
65467182
76028182
86237182
96330182
106730182
117899182
08227182
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
y
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
x
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
(/.f64 y (*.f64 (/.f64 z x) z))
y
(*.f64 (/.f64 z x) z)
(/.f64 z x)
z
x
(*.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 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(approx (+ (* z z) z) (*.f64 z z))
(*.f64 z z)
Outputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z)))
(/.f64 x (*.f64 (fma.f64 z z z) z))
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
y
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
x
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y))
(/.f64 y (*.f64 (/.f64 z x) z))
(*.f64 (/.f64 (/.f64 x z) z) y)
y
(*.f64 (/.f64 z x) z)
(/.f64 z x)
z
x
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z)))
(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 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(approx (+ (* z z) z) (*.f64 z z))
(*.f64 z z)

localize81.0ms (0.9%)

Memory
-36.5MiB live, 128.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z z)
accuracy1.887135136038222
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
accuracy5.639352658225089
(*.f64 (/.f64 x z) y)
accuracy30.209958758561385
#s(approx (+ (* z z) z) (*.f64 z z))
accuracy0
(neg.f64 x)
accuracy0.046875
(*.f64 (neg.f64 z) (fma.f64 z z z))
accuracy4.7496351430593
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
accuracy7.650901024063725
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
accuracy0
(/.f64 z x)
accuracy0.15625
(*.f64 (/.f64 z x) z)
accuracy7.542911370565018
(/.f64 y (*.f64 (/.f64 z x) z))
accuracy16.78617695543197
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
accuracy0
(*.f64 z z)
accuracy4.7496351430593
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy7.650901024063725
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy25.227563916101662
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(fma.f64 z z z)
accuracy0.046875
(*.f64 (fma.f64 z z z) z)
accuracy4.657282809641625
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
accuracy6.807916799818907
(/.f64 x (*.f64 (fma.f64 z z z) z))
Samples
56.0ms256×0valid
Compiler

Compiled 320 to 52 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 20.0ms (50% of total)
ival-div: 12.0ms (30% of total)
ival-neg: 5.0ms (12.5% of total)
ival-add: 3.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series86.0ms (0.9%)

Memory
17.0MiB live, 108.2MiB allocated
Counts
21 → 492
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (fma.f64 z z z) z)) (patch (/.f64 x (*.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 (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 y #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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 (/.f64 z x) z)) (patch (/.f64 y (*.f64 (/.f64 z x) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z x) z) (patch (*.f64 (/.f64 z x) z) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<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 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<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 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 (*.f64 (fma.f64 z z z) z)) y) (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<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 (*.f64 (fma.f64 z z z) z)) y) (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (fma.f64 z z z) z)) (patch (/.f64 x (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (fma.f64 z z z) z)) (patch (/.f64 x (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* z (- (* x z) x))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (fma.f64 z z z) z)) (patch (/.f64 x (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (fma.f64 z z z) z)) (patch (/.f64 x (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #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 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #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 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #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 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ y (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.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 1)) (*.f64 z z))) (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.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 1)) (*.f64 z z))) (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.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 1)) (*.f64 z z))) (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#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 (* (pow z 2) (+ 1 z)) (taylor 0 z) (#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 (* (pow z 2) (+ 1 z)) (taylor 0 z) (#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 (* (pow z 2) (+ 1 z)) (taylor 0 z) (#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 (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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) 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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 z x) z)) (patch (/.f64 y (*.f64 (/.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 z x) z)) (patch (/.f64 y (*.f64 (/.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 z x) z)) (patch (/.f64 y (*.f64 (/.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 z x) z)) (patch (/.f64 y (*.f64 (/.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) z) (patch (*.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) z) (patch (*.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) z) (patch (*.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 (/.f64 z x) z) (patch (*.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#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 (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#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 (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#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 (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#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 (pow z 2)) (taylor 0 z) (#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 (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#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 (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#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 (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#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 (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z 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 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x 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>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (fma.f64 z z z) z)) (patch (/.f64 x (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (fma.f64 z z z) z)) (patch (/.f64 x (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (fma.f64 z z z) z)) (patch (/.f64 x (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (fma.f64 z z z) z)) (patch (/.f64 x (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #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 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #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 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #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 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (/.f64 z x) z)) (patch (/.f64 y (*.f64 (/.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (/.f64 z x) z)) (patch (/.f64 y (*.f64 (/.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (/.f64 z x) z)) (patch (/.f64 y (*.f64 (/.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (/.f64 z x) z)) (patch (/.f64 y (*.f64 (/.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) z) (patch (*.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) z) (patch (*.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) z) (patch (*.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) z) (patch (*.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<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 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x 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
52.0ms
x
@0
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (/ y (* (/ z x) z)) (* (/ z x) z) (/ z x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ y (* (neg z) (+ (* z z) z))))
3.0ms
x
@-inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (/ y (* (/ z x) z)) (* (/ z x) z) (/ z x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ y (* (neg z) (+ (* z z) z))))
3.0ms
z
@-inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (/ y (* (/ z x) z)) (* (/ z x) z) (/ z x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ y (* (neg z) (+ (* z z) z))))
3.0ms
y
@-inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (/ y (* (/ z x) z)) (* (/ z x) z) (/ z x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ y (* (neg z) (+ (* z z) z))))
3.0ms
x
@inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (/ y (* (/ z x) z)) (* (/ z x) z) (/ z x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ y (* (neg z) (+ (* z z) z))))

simplify226.0ms (2.5%)

Memory
5.8MiB live, 198.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02054277
16094141
216743964
359563890
083003694
Stop Event
iter limit
node limit
Counts
492 → 490
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))
(/ 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))
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))
(/ 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))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* 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))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
z
(* z (+ 1 z))
(* z (+ 1 z))
(* 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))
(/ 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) (+ 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))
(/ 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))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* 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))
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(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
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(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ y (pow z 3))
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(/ (* x y) (pow z 3))
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(* -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)))
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(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
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(* -1 z)
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(/ (* x y) (pow z 3))
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(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
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(* -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) (* 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) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ y (* (pow z 2) (+ 1 z)))
(/ y (* (pow z 2) (+ 1 z)))
(/ y (* (pow z 2) (+ 1 z)))
(/ y (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
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(/ (* x y) (* z (+ z (pow z 2))))
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(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ y (* z (+ z (pow z 2)))))
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(* -1 (/ y (* z (+ z (pow z 2)))))
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(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ y (* (pow z 2) (+ 1 z)))
(/ y (* (pow z 2) (+ 1 z)))
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(/ 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) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (* z (+ z (pow z 2))))
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ y (* z (+ z (pow z 2)))))
(* -1 (/ y (* z (+ z (pow z 2)))))
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(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
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(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ z x)
(/ z x)
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(/ (* x y) (* z (+ z (pow z 2))))
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(* -1 x)
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(* -1 x)
(* -1 x)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(/ (* 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) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ z x)
(/ z x)
(/ z x)
(/ z 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))))
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(* -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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x 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 (* z (+ z (pow z 2))))
(/ x (* z (+ z (pow z 2))))
(/ x (* z (+ z (pow z 2))))
(/ x (* 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 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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
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(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ z x)
(/ z x)
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(/ (* 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))))
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(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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 (-.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 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 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) 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 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 x) z x)) (*.f64 z z))
(pow z 2)
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(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
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(*.f64 (fma.f64 z z z) z)
z
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(/ (* x y) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 x 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 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 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (*.f64 z z))
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(/ (+ 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))
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(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
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(/ (+ (* 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (*.f64 z z))
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(/ (* x y) (pow z 2))
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(/ (pow z 2) x)
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(*.f64 (/.f64 y z) (/.f64 x 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 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 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (*.f64 z z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
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(/ (* x y) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 x z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
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(/ (+ (* 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (*.f64 z z))
(/ (* x y) z)
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z
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(/ (+ (* -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 y (pow.f64 z #s(literal 3 binary64))) x)
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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))
(*.f64 (/.f64 y z) (/.f64 x z))
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(/ (* x y) (pow z 2))
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(/ z x)
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(/ (* 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))
(/ (* x y) (* z (+ z (pow z 2))))
(*.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))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x y) (* z (+ z (pow z 2))))
(*.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))
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
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(/ x z)
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(/ x z)
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(/ (* x y) (* z (+ z (pow z 2))))
(*.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))
(/ (* x y) (* z (+ z (pow z 2))))
(*.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))
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) 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) (* (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) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
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(/ (* x y) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 x z))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
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(/ (pow z 2) x)
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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))
(/ (* x y) (* z (+ z (pow z 2))))
(*.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)
(/ (* x y) (* z (+ z (pow z 2))))
(*.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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(/ 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))
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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 (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) 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))
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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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(/ (* x y) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 x z))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ z x)
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(/ z x)
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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 x (fma.f64 z z z)) (/.f64 y z))
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(*.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)
(/ (* x y) (* z (+ z (pow z 2))))
(*.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))
(/ (* 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))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
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(/ x z)
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(/ x z)
(/.f64 x z)

rewrite209.0ms (2.3%)

Memory
-5.5MiB live, 239.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031166
050164
1179160
21057160
08628160
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 605
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
(/.f64 y (*.f64 (/.f64 z x) z))
(*.f64 (/.f64 z x) z)
(/.f64 z x)
(*.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 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
#s(approx (+ (* z z) z) (*.f64 z z))
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval314.0ms (3.4%)

Memory
30.9MiB live, 405.4MiB allocated
Compiler

Compiled 33 474 to 4 242 computations (87.3% saved)

prune60.0ms (0.7%)

Memory
-9.8MiB live, 148.1MiB allocated
Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New2 19752 202
Fresh235
Picked145
Done178
Total2 201192 220
Accuracy
100.0%
Counts
2 220 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.5%
(/.f64 (/.f64 x #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))) z)
62.4%
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
84.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
57.8%
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
84.0%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.5%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
62.4%
(/.f64 x (*.f64 (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y) z))
68.1%
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
62.8%
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
61.9%
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
67.5%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
84.9%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
57.8%
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
84.5%
(*.f64 (neg.f64 x) (/.f64 y #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
75.4%
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
58.6%
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
70.5%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
81.8%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
75.0%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 487 to 246 computations (49.5% saved)

regimes56.0ms (0.6%)

Memory
-5.8MiB live, 74.4MiB 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
(/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y)))
(/.f64 x (*.f64 (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y) z))
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 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 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (/.f64 x #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))) z)
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
Calls

6 calls:

13.0ms
y
9.0ms
(*.f64 x y)
9.0ms
x
9.0ms
z
8.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
96.5%1x
99.4%2y
96.5%1z
96.5%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
99.8%2(*.f64 x y)
96.5%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes18.0ms (0.2%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
30 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
(/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y)))
(/.f64 x (*.f64 (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y) z))
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 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 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (/.f64 x #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))) z)
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
Calls

2 calls:

9.0ms
y
8.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
98.6%2y
98.6%2(*.f64 x y)
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes61.0ms (0.7%)

Memory
-26.8MiB live, 85.3MiB allocated
Counts
27 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
(/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y)))
(/.f64 x (*.f64 (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y) z))
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 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 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
Calls

6 calls:

18.0ms
(*.f64 x y)
10.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
9.0ms
x
8.0ms
y
8.0ms
z
Results
AccuracySegmentsBranch
95.9%1x
95.9%1z
95.9%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
95.9%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
97.9%2y
98.0%2(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes54.0ms (0.6%)

Memory
-7.0MiB live, 62.8MiB allocated
Counts
26 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
(/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y)))
(/.f64 x (*.f64 (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y) z))
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 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
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
Calls

6 calls:

17.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
8.0ms
x
7.0ms
y
7.0ms
z
7.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
92.8%1x
96.2%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)))
94.4%2y
96.8%3(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes70.0ms (0.8%)

Memory
-25.9MiB live, 13.3MiB allocated
Counts
25 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
(/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y)))
(/.f64 x (*.f64 (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y) z))
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
Outputs
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
Calls

2 calls:

7.0ms
z
7.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.7%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
98.7%3z
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes20.0ms (0.2%)

Memory
35.0MiB live, 35.0MiB allocated
Counts
24 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
(/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y)))
(/.f64 x (*.f64 (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y) z))
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
Outputs
(/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
Calls

3 calls:

7.0ms
z
6.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
6.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
93.5%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.7%3z
99.1%4(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 19 to 19 computations (0% saved)

regimes10.0ms (0.1%)

Memory
-26.3MiB live, 12.1MiB allocated
Counts
20 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
Outputs
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))
Calls

1 calls:

9.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.1%4(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes20.0ms (0.2%)

Memory
1.8MiB live, 37.9MiB allocated
Counts
19 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
Outputs
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z))
Calls

3 calls:

8.0ms
z
5.0ms
(*.f64 x y)
5.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
97.8%4z
92.3%2(*.f64 x y)
98.2%4(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes31.0ms (0.3%)

Memory
13.0MiB live, 57.3MiB allocated
Counts
18 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))
Outputs
(*.f64 (neg.f64 x) (/.f64 y #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
Calls

5 calls:

10.0ms
y
6.0ms
x
5.0ms
z
5.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
5.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
93.5%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
90.1%2x
92.6%2y
95.0%3z
95.0%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 21 to 25 computations (-19% saved)

regimes5.0ms (0.1%)

Memory
11.8MiB live, 11.7MiB allocated
Counts
15 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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 #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
Outputs
(*.f64 (neg.f64 x) (/.f64 y #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
93.5%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes33.0ms (0.4%)

Memory
6.4MiB live, 43.0MiB 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.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))))
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Calls

4 calls:

20.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
4.0ms
y
4.0ms
z
4.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
92.6%2y
94.1%3z
93.7%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
90.9%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 20 to 22 computations (-10% saved)

regimes33.0ms (0.4%)

Memory
-27.7MiB live, 11.7MiB allocated
Counts
12 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z 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))
Calls

1 calls:

32.0ms
y
Results
AccuracySegmentsBranch
92.6%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.2%)

Memory
24.3MiB live, 24.3MiB allocated
Counts
11 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
Outputs
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
Calls

4 calls:

4.0ms
y
4.0ms
z
4.0ms
(*.f64 x y)
3.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
94.9%4(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
90.9%2(*.f64 x y)
92.8%3z
90.5%2y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes65.0ms (0.7%)

Memory
-26.4MiB live, 10.4MiB allocated
Counts
9 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x (/.f64 y z)) z))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x))
Outputs
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
Calls

2 calls:

61.0ms
z
3.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
92.6%3z
92.6%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.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 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
Calls

5 calls:

3.0ms
z
3.0ms
y
2.0ms
(*.f64 x y)
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
2.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
83.9%3y
82.1%2(*.f64 x y)
85.5%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
91.9%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
91.9%3z
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes9.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
5 → 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 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
Outputs
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))
Calls

4 calls:

2.0ms
x
2.0ms
z
2.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
80.4%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
75.4%1x
86.0%3z
86.0%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 20 to 22 computations (-10% saved)

regimes29.0ms (0.3%)

Memory
-26.6MiB live, 18.0MiB allocated
Accuracy

Total -7.6b remaining (-48.2%)

Threshold costs -7.6b (-48.2%)

Counts
3 → 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 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

5 calls:

22.0ms
z
2.0ms
y
2.0ms
(*.f64 x y)
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
2.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
75.4%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
75.4%1(*.f64 x y)
75.4%1y
75.4%1z
75.4%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.315458073e-314
1.4560597508567367e-301
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.07396334e-316
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.07396334e-316
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch30.0ms (0.3%)

Memory
18.2MiB live, 54.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
4.2583754107141007e-51
1.6141900087129985e-49
17.0ms
-3.1883216686828235e-20
-2.45847181286055e-25
Samples
14.0ms256×0valid
Compiler

Compiled 302 to 271 computations (10.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (62.5% of total)
ival-div: 1.0ms (12.5% of total)
ival-add: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory
8.6MiB live, 45.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
4.8259899129424957e-42
2.15992927237175e-41
13.0ms
-3.775173558703265e-17
-3.1883216686828235e-20
Samples
14.0ms224×0valid
Compiler

Compiled 294 to 267 computations (9.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (70.3% of total)
ival-div: 1.0ms (11.7% of total)
ival-add: 1.0ms (11.7% 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
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.414925179994906e+34
2.7047318140672775e+78
0.0ms
5.65136412506141e-309
2.2525940633190494e-305
0.0ms
-109.10895692265464
0.0
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch2.0ms (0%)

Memory
-34.5MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.414925179994906e+34
2.7047318140672775e+78
0.0ms
5.65136412506141e-309
2.2525940633190494e-305
0.0ms
-109.10895692265464
0.0
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.414925179994906e+34
2.7047318140672775e+78
0.0ms
5.65136412506141e-309
2.2525940633190494e-305
0.0ms
-109.10895692265464
0.0
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
1575.4360361171873
1727.2078732979032
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1575.4360361171873
1727.2078732979032
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch13.0ms (0.1%)

Memory
26.2MiB live, 26.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
5.7246757662663095
20826.25159030331
Samples
7.0ms128×0valid
Compiler

Compiled 166 to 159 computations (4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (51.3% of total)
ival-div: 1.0ms (25.6% of total)
ival-add: 1.0ms (25.6% 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
3.1MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
5.7246757662663095
20826.25159030331
Compiler

Compiled 158 to 143 computations (9.5% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.414925179994906e+34
2.7047318140672775e+78
0.0ms
5.65136412506141e-309
2.2525940633190494e-305
0.0ms
-109.10895692265464
0.0
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch24.0ms (0.3%)

Memory
-11.8MiB live, 34.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
0.8939796599546915
2.0257673695213656
14.0ms
-5.1361088718578145
-0.16585699048972016
Samples
14.0ms192×0valid
Compiler

Compiled 230 to 219 computations (4.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.6% of total)
ival-div: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.8939796599546915
2.0257673695213656
1.0ms
-5.1361088718578145
-0.16585699048972016
Compiler

Compiled 230 to 219 computations (4.8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.5136678480329313
12.416942722100124
0.0ms
-109.10895692265464
0.0
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify115.0ms (1.3%)

Memory
-20.2MiB live, 57.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0130873
1212873
2332873
3561869
4849869
51126869
61563869
73438869
85697869
96956869
107343869
117447869
127531869
137683869
147961869
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 x y) #s(literal 10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z))
(if (<=.f64 (*.f64 x y) #s(literal 0 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)))
(if (<=.f64 (*.f64 x y) #s(literal 0 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z))
(if (<=.f64 z #s(literal -5150758483666549/166153499473114484112975882535043072 binary64)) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (if (<=.f64 z #s(literal 8424983333484575/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))))
(if (<=.f64 z #s(literal -1979563177316403/324518553658426726783156020576256 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (if (<=.f64 z #s(literal 2108713864231463/98079714615416886934934209737619787751599303819750539264 binary64)) (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) 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 -100 binary64)) (/.f64 x (*.f64 z (/.f64 #s(approx (+ (* z z) z) (*.f64 z z)) y))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 19999999999999998911504619740856320 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))))))
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(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -100 binary64)) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z))))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 19999999999999998911504619740856320 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z))))))))
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(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
Outputs
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(if (<=.f64 (*.f64 x y) #s(literal 0 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z))
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(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) #s(literal 1600 binary64)) (*.f64 (/.f64 (neg.f64 y) #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))) x) (*.f64 #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (neg.f64 y)))
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(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) #s(literal 1600 binary64)) (*.f64 (/.f64 (neg.f64 y) #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))) x) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))))
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(if (<=.f64 y #s(literal 6530219459687219/1125899906842624 binary64)) #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)))
(if (<=.f64 y #s(literal 6530219459687219/1125899906842624 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 y z) (/.f64 x z))) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -100 binary64)) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z))))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 19999999999999998911504619740856320 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z))))))))
(if (<=.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal -100 binary64)) (*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x) (if (<=.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 y z) (/.f64 x z))) (if (<=.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 19999999999999998911504619740856320 binary64)) (*.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 z #s(literal -1 binary64)) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z))))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z))))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))))
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(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -100 binary64)) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z))))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (*.f64 x (/.f64 y (*.f64 z #s(approx (+ (* z z) z) (*.f64 z z)))))))
(if (or (<=.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal -100 binary64)) (not (<=.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 2 binary64)))) (*.f64 (/.f64 y (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(*.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)

soundness2.2s (23.8%)

Memory
2.9MiB live, 1 118.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031166
050164
1179160
21057160
08628160
0927
01427
15527
233827
3323027
0870625
063683
1202664
2600646
33538628
08381593
026129
044127
1167125
2957125
08944125
02054277
16094141
216743964
359563890
083003694
030179
045179
1160175
2952175
08569175
01433855
14413745
211933536
342453446
082383235
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 567 to 736 computations (53% saved)

preprocess497.0ms (5.5%)

Memory
38.5MiB live, 550.7MiB allocated
Compiler

Compiled 1 612 to 498 computations (69.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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