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

Time bar (total: 8.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze252.0ms (2.8%)

Memory
-16.2MiB live, 146.0MiB 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)

sample926.0ms (10.5%)

Memory
21.1MiB live, 1 605.7MiB allocated
Samples
605.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 373.0ms
ival-mult: 235.0ms (63% of total)
ival-div: 70.0ms (18.8% of total)
ival-add: 51.0ms (13.7% of total)
ival-true: 7.0ms (1.9% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

explain89.0ms (1%)

Memory
16.8MiB live, 214.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
390-1(1.018481199876512e-223 1.5073827956459748e-68 -1.8726509072441437e-160)(/.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))))n/u120
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow65
(*.f64 z z)underflow65
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/o90
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow76
(*.f64 z z)overflow53
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/o80
(*.f64 x y)overflow33
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow76
(*.f64 z z)overflow53
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/n40
(*.f64 x y)underflow22
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/u30
(*.f64 x y)underflow22
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow65
(*.f64 z z)underflow65
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/n20
(*.f64 x y)overflow33
Confusion
Predicted +Predicted -
+381
-0217
Precision
1.0
Recall
0.9743589743589743
Confusion?
Predicted +Predicted MaybePredicted -
+3801
-00217
Precision?
1.0
Recall?
0.9743589743589743
Freqs
test
numberfreq
0218
138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms512×0valid
Compiler

Compiled 77 to 31 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (54.8% of total)
ival-div: 3.0ms (18.3% of total)
ival-add: 3.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess56.0ms (0.6%)

Memory
6.3MiB live, 82.1MiB allocated
Algorithm
egg-herbie
Rules
1 692×times-frac
1 056×div-sub
922×unsub-neg
878×distribute-frac-neg
854×distribute-frac-neg2
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify17.0ms (0.2%)

Memory
-31.5MiB live, 13.8MiB 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)))
Rules
120×times-frac
114×lower-*.f32
108×lower-*.f64
108×lower-/.f32
106×lower-/.f64
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)

localize29.0ms (0.3%)

Memory
-0.8MiB live, 37.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x y)
accuracy0.03515625
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy8.905099807378368
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Samples
16.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (60.5% of total)
ival-div: 2.0ms (24.2% of total)
ival-add: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
34.0MiB live, 34.0MiB 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))))

simplify181.0ms (2.1%)

Memory
-11.6MiB live, 332.1MiB allocated
Algorithm
egg-herbie
Rules
23 166×lower-fma.f64
23 166×lower-fma.f32
4 440×lower-*.f64
4 440×lower-*.f32
1 786×div-sub
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite200.0ms (2.3%)

Memory
33.3MiB live, 307.8MiB allocated
Rules
4 934×lower-*.f32
4 928×lower-*.f64
4 476×lower-/.f32
4 474×lower-/.f64
2 374×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01427
15527
233827
3320427
0848825
Stop Event
iter limit
node limit
iter limit
Counts
5 → 483
Calls
Call 1
Inputs
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 z z)
(+.f64 z #s(literal 1 binary64))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval80.0ms (0.9%)

Memory
-16.9MiB live, 203.1MiB allocated
Compiler

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

prune21.0ms (0.2%)

Memory
6.5MiB live, 91.6MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New56215577
Fresh000
Picked101
Done000
Total56315578
Accuracy
100.0%
Counts
578 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
92.6%
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
98.6%
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
96.0%
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
96.7%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
86.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
93.4%
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
72.6%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
89.7%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
93.5%
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
92.5%
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y x) (neg.f64 (fma.f64 z z z))))
87.2%
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
85.4%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
67.2%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
78.7%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 318 to 242 computations (23.9% saved)

simplify175.0ms (2%)

Memory
0.4MiB live, 233.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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))
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 x (fma.f64 z z z))
cost-diff0
(/.f64 (/.f64 x (fma.f64 z z z)) z)
cost-diff0
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
cost-diff0
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(*.f64 z (/.f64 z x))
cost-diff0
(+.f64 #s(literal 1 binary64) z)
cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) z))
cost-diff512
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
Rules
16 776×lower-fma.f32
16 774×lower-fma.f64
2 854×lower-*.f32
2 840×lower-*.f64
1 644×lower-+.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
030176
049178
1104172
2227172
3503172
41147170
52585168
63997168
77406168
08110168
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 y (+.f64 #s(literal 1 binary64) z))
y
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 z (/.f64 z x))
(/.f64 z x)
x
(/.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
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 y x)
y
x
(*.f64 z z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(/.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)
Outputs
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(/.f64 y (+.f64 #s(literal 1 binary64) z))
(/.f64 y (-.f64 z #s(literal -1 binary64)))
y
(+.f64 #s(literal 1 binary64) z)
(-.f64 z #s(literal -1 binary64))
#s(literal 1 binary64)
z
(*.f64 z (/.f64 z x))
(*.f64 (/.f64 z x) z)
(/.f64 z x)
x
(/.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
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 z z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(fma.f64 z z z)

localize88.0ms (1%)

Memory
10.3MiB live, 192.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 z z z)
accuracy0
(/.f64 y z)
accuracy2.0890663075247575
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
accuracy5.2341260636437426
(*.f64 (/.f64 y z) x)
accuracy0
(fma.f64 z z z)
accuracy0.12890625
(/.f64 (/.f64 x (fma.f64 z z z)) z)
accuracy1.4309171493120132
(/.f64 x (fma.f64 z z z))
accuracy3.9901909277378613
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
accuracy0
(*.f64 y x)
accuracy2.1789397569083353
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
accuracy13.74720696263795
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))
accuracy18.724005494789104
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x y)
accuracy8.905099807378368
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy25.625407981984377
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(+.f64 #s(literal 1 binary64) z)
accuracy0.0078125
(/.f64 y (+.f64 #s(literal 1 binary64) z))
accuracy0.12109375
(*.f64 z (/.f64 z x))
accuracy0.9000450863434197
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
Samples
70.0ms256×0valid
Compiler

Compiled 164 to 27 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 13.0ms (42% of total)
ival-mult: 12.0ms (38.8% of total)
ival-add: 4.0ms (12.9% of total)
ival-sub: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
-16.1MiB live, 103.0MiB allocated
Counts
20 → 516
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (patch (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 y 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>) () ())
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Outputs
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#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 (- 1 z))) (pow z 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<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) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.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 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.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 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.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 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.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) (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 (/.f64 x (fma.f64 z z z)) z) y) (patch (*.f64 (/.f64 (/.f64 x (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 (/.f64 x (fma.f64 z z z)) z) y) (patch (*.f64 (/.f64 (/.f64 x (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 (/.f64 x (fma.f64 z z z)) z) y) (patch (*.f64 (/.f64 (/.f64 x (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 (/.f64 x (fma.f64 z z z)) z) y) (patch (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #<representation binary64>) () ())) ())
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ())) ())
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 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 (+ 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 (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z)))
6.0ms
y
@-inf
((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z)))
6.0ms
z
@0
((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z)))
5.0ms
x
@-inf
((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z)))
4.0ms
x
@0
((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z)))

simplify175.0ms (2%)

Memory
22.3MiB live, 211.8MiB allocated
Algorithm
egg-herbie
Rules
13 648×lower-fma.f64
13 648×lower-fma.f32
3 710×lower-*.f64
3 710×lower-*.f32
2 426×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01984600
15864266
214664038
354234002
081903814
Stop Event
iter limit
node limit
Counts
516 → 512
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))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* y z) y)))
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) 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))
(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)
(+ (* -1 (* x (* y z))) (* x y))
(+ (* -1 (* x (* y z))) (* x y))
(+ (* -1 (* x (* y z))) (* x y))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -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))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) 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))
(/ (* 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 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* 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))
(/ y z)
(/ (+ y (* -1 (/ y z))) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) 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))
(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))
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(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
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(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ x (pow z 3))
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(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
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z
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(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
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(/ x (pow z 2))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
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(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ y (+ 1 z))
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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) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
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(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
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(* x y)
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(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ (* x y) z)
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(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
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(/ (* x y) (* (pow z 2) (+ 1 z)))
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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))))
(/ (* 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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
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(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ x (+ z (pow z 2)))
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(/ (* x y) (* z (+ z (pow z 2))))
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(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ (pow z 2) x)
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(* x (* y (- 1 z)))
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(* x y)
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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))))
(/ 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 (+ z (pow z 2)))
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(/ x (+ z (pow z 2)))
(/ x (+ z (pow z 2)))
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(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
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(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (* 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 (- 1 z)))
(* x (* y (- 1 z)))
(* x (* y (- 1 z)))
(* x (* y (- 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (* 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 (pow z 2)))
(/ x (+ z (pow z 2)))
(/ x (+ z (pow z 2)))
(/ x (+ 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)
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(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 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 y z) y) z) x)
(/ (+ (* 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))
y
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ y (* z (- (* y z) y)))
(fma.f64 (-.f64 (*.f64 z y) y) z y)
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
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(+.f64 #s(literal 1 binary64) z)
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(+.f64 #s(literal 1 binary64) z)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
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(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (* 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 y z) y) z) x)
(/ (+ (* 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)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
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(* (pow z 2) (+ 1 z))
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(pow z 2)
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(pow z 2)
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(pow z 2)
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(/ (* 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 y z) y) z) x)
(/ (+ (* 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)
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(+ (* -1 (* x (* y z))) (* x y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x)
(+ (* -1 (* x (* y z))) (* x y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) 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 y z) y) z) x)
(/ (+ (* 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 z) x 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 z) x x)) (*.f64 z z))
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
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(/ (+ x (* z (- (* x z) x))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 z x) x) z x) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 z) x x)) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(* z (+ 1 z))
(fma.f64 z z z)
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(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 y z) y) z) x)
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(*.f64 y x)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ 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 (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)

rewrite212.0ms (2.4%)

Memory
-44.1MiB live, 253.4MiB allocated
Rules
5 244×lower-*.f32
5 230×lower-*.f64
5 112×lower-fma.f32
5 110×lower-fma.f64
4 146×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030149
049151
1203145
21366145
08611145
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 561
Calls
Call 1
Inputs
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 y (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
(*.f64 z (/.f64 z x))
(/.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)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
(-.f64 #s(literal 1 binary64) z)
(*.f64 y x)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))
Outputs
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eval261.0ms (3%)

Memory
38.1MiB live, 577.8MiB allocated
Compiler

Compiled 37 097 to 3 687 computations (90.1% saved)

prune54.0ms (0.6%)

Memory
14.8MiB live, 173.0MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New2 199112 210
Fresh5510
Picked325
Done000
Total2 207182 225
Accuracy
100.0%
Counts
2 225 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
62.7%
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
96.5%
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
86.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
72.6%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
63.5%
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
93.4%
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
89.7%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
83.3%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
71.4%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
87.2%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
72.5%
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
85.4%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
78.2%
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
70.0%
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
67.2%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
78.7%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
28.3%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
Compiler

Compiled 324 to 261 computations (19.4% saved)

simplify121.0ms (1.4%)

Memory
0.3MiB live, 183.8MiB 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) x)
cost-diff0
(*.f64 (/.f64 (fma.f64 z z z) x) z)
cost-diff0
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff448
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
cost-diff0
(/.f64 y z)
cost-diff0
(/.f64 (/.f64 y z) z)
cost-diff0
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
cost-diff384
(*.f64 (/.f64 (/.f64 y z) z) x)
cost-diff0
(/.f64 (neg.f64 y) z)
cost-diff0
(*.f64 (/.f64 (neg.f64 y) z) x)
cost-diff0
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))
cost-diff0
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x)
cost-diff0
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
cost-diff512
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z)
Rules
5 142×lower-fma.f32
5 140×lower-fma.f64
2 676×lower-*.f32
2 662×lower-*.f64
2 068×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042225
061226
1131218
2282215
3668215
41883211
54357211
67105211
08045211
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z)
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x)
(/.f64 y (+.f64 #s(literal 1 binary64) z))
y
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))
(*.f64 (/.f64 (neg.f64 y) z) x)
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
x
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
x
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(literal -1 binary64)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
y
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(/.f64 (fma.f64 z z z) x)
(fma.f64 z z z)
z
x
Outputs
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z)
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x)
(*.f64 x (/.f64 y (+.f64 z #s(literal 1 binary64))))
(/.f64 y (+.f64 #s(literal 1 binary64) z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))
(*.f64 (/.f64 (neg.f64 y) z) x)
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
x
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x (*.f64 z z)) y))
(*.f64 (/.f64 (/.f64 y z) z) x)
(*.f64 (/.f64 x (*.f64 z z)) y)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
x
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(literal -1 binary64)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
y
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(*.f64 (fma.f64 z z z) (/.f64 z x))
(/.f64 (fma.f64 z z z) x)
(fma.f64 z z z)
z
x

localize91.0ms (1%)

Memory
5.0MiB live, 203.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 z z z)
accuracy0.08984375
(*.f64 (/.f64 (fma.f64 z z z) x) z)
accuracy1.4358040788269304
(/.f64 (fma.f64 z z z) x)
accuracy4.223839032460269
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
accuracy0
(neg.f64 y)
accuracy0.7946616255396546
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy8.739482105730644
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
accuracy25.625407981984377
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(/.f64 y z)
accuracy0.125
(/.f64 (/.f64 y z) z)
accuracy5.921544924909574
(*.f64 (/.f64 (/.f64 y z) z) x)
accuracy14.262106153973617
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
accuracy0
(neg.f64 y)
accuracy5.2341260636437426
(*.f64 (/.f64 (neg.f64 y) z) x)
accuracy18.724005494789104
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
accuracy28.946371615658297
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))
accuracy0.0078125
(/.f64 y (+.f64 #s(literal 1 binary64) z))
accuracy0.07421875
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x)
accuracy0.5705994041702085
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
accuracy1.695629084204493
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z)
Samples
71.0ms256×0valid
Compiler

Compiled 185 to 37 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 23.0ms (46% of total)
ival-mult: 19.0ms (38% of total)
ival-add: 4.0ms (8% of total)
ival-sub: 3.0ms (6% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series100.0ms (1.1%)

Memory
-36.2MiB live, 110.0MiB allocated
Counts
21 → 576
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 y) z) x) (patch (*.f64 (/.f64 (neg.f64 y) z) x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 y z) z) x) (patch (*.f64 (/.f64 (/.f64 y z) z) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 y z) z) (patch (/.f64 (/.f64 y z) z) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (fma.f64 z z z) x) z) (patch (*.f64 (/.f64 (fma.f64 z z z) x) z) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z 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>) () ())
Outputs
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) 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 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) 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 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (* y z))) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* z (- (* y z) y))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) #<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))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) #<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))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) 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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) x) (patch (*.f64 (/.f64 (neg.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) x) (patch (*.f64 (/.f64 (neg.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) x) (patch (*.f64 (/.f64 (neg.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) x) (patch (*.f64 (/.f64 (neg.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 y z) z) x) (patch (*.f64 (/.f64 (/.f64 y z) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 y z) z) x) (patch (*.f64 (/.f64 (/.f64 y z) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 y z) z) x) (patch (*.f64 (/.f64 (/.f64 y z) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 y z) z) x) (patch (*.f64 (/.f64 (/.f64 y z) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y 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 #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ y (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) z) (patch (/.f64 (/.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt (/ y (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) z) (patch (/.f64 (/.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt (/ y (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) z) (patch (/.f64 (/.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt (/ y (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) z) (patch (/.f64 (/.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (- z 1) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z 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 (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 z z z) x) z) (patch (*.f64 (/.f64 (fma.f64 z z z) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 z z z) x) z) (patch (*.f64 (/.f64 (fma.f64 z z z) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 z z z) x) z) (patch (*.f64 (/.f64 (fma.f64 z z z) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 z z z) x) z) (patch (*.f64 (/.f64 (fma.f64 z z z) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
22.0ms
x
@0
((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1)))
8.0ms
y
@0
((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1)))
5.0ms
y
@-inf
((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1)))
5.0ms
x
@-inf
((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1)))
5.0ms
y
@inf
((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1)))

simplify304.0ms (3.4%)

Memory
13.0MiB live, 131.7MiB allocated
Algorithm
egg-herbie
Rules
14 164×lower-fma.f64
14 164×lower-fma.f32
4 080×lower-*.f64
4 080×lower-*.f32
2 064×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01965375
15775108
214164848
347234690
082534469
Stop Event
iter limit
node limit
Counts
576 → 574
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ (* 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)
(+ (* -1 (* x (* y z))) (* x y))
(+ (* x y) (* z (- (* x (* y z)) (* x y))))
(+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* y z) y)))
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) 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 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ (* 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))
(/ (+ (* -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 (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ -1 (pow z 2))
(/ (- z 1) (pow z 2))
(/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2))
(/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/ z x)
(* z (+ (/ 1 x) (/ z x)))
(* z (+ (/ 1 x) (/ z x)))
(* z (+ (/ 1 x) (/ z x)))
z
(* z (+ 1 z))
(* z (+ 1 z))
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ (* 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)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) z)
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) z)
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) z)
(/ y z)
(/ (+ y (* -1 (/ y z))) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (* x y) z))
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* 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))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ -1 (pow z 3))
(/ (- (/ 1 z) 1) (pow z 3))
(/ (- (/ 1 z) (+ 1 (/ 1 (pow z 2)))) (pow z 3))
(/ (- (+ (/ 1 z) (/ 1 (pow z 3))) (+ 1 (/ 1 (pow z 2)))) (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))
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) z)) (* x y)) (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) z)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) z))
(/ y z)
(* -1 (/ (+ (* -1 y) (/ y z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) 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)))
(* -1 (/ (* x y) z))
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z))
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z))
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (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)))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ -1 (pow z 3))
(* -1 (/ (- 1 (/ 1 z)) (pow z 3)))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) (pow z 3)))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 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)))
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 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) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ (* 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) (+ 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))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ 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)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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))))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 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) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ (* 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) (+ 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))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ 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)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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))))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 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) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ (* 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) (+ 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))
(/ y (pow z 2))
(/ y (pow z 2))
(/ y (pow z 2))
(/ 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)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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))))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 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) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(/ (* 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) (+ 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)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* 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))))
(/ (* 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 (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 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) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(/ (* 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) (+ 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)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* 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))))
(/ (* 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 (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 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) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 1 z))
(/ (* x y) (+ 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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(/ (* 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) (+ 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)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* 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))))
(/ (* 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 (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (pow z 2)) x)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(*.f64 (-.f64 (/.f64 y z) y) x)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) z) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z) z)
(* x y)
(*.f64 y x)
(+ (* -1 (* x (* y z))) (* x y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)
(+ (* x y) (* z (- (* x (* y z)) (* x y))))
(*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64)))
(+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y))
y
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ y (* z (- (* y z) y)))
(fma.f64 (-.f64 (*.f64 z y) y) z y)
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) z) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) z) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z) z)
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) z) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z) z)
(/ -1 (pow z 2))
(/.f64 #s(literal -1 binary64) (*.f64 z z))
(/ (- z 1) (pow z 2))
(/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z)
(/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2))
(-.f64 (/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) #s(literal 1 binary64))
(/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) z) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z) z)
(/ (pow z 2) x)
(*.f64 (/.f64 z x) z)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ z x)
(/.f64 z x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
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)
(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 x) z) z)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (*.f64 z z))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (*.f64 z z))
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.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 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) z)
(*.f64 (/.f64 x z) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) z)
(*.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) z)
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) z)
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (/ y z))) z)
(/.f64 (-.f64 y (/.f64 y z)) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #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 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ y z))
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(/.f64 (fma.f64 z z z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ (* x y) (* z (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(/ (* x y) (* z (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(/ (* x y) (* z (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(/ (* x y) (* z (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (+ 1 z))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) y)
(/ (* x y) (+ 1 z))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) y)
(/ (* x y) (+ 1 z))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) y)
(/ (* x y) (+ 1 z))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ (* x y) z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* z (+ z (pow z 2))) x)
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ (* z (+ z (pow z 2))) x)
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ (* z (+ z (pow z 2))) x)
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ (* z (+ z (pow z 2))) x)
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)

rewrite512.0ms (5.8%)

Memory
6.0MiB live, 204.2MiB allocated
Rules
5 436×lower-fma.f32
5 434×lower-fma.f64
5 372×lower-*.f32
5 358×lower-*.f64
3 742×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042200
061201
1244192
21570190
08963190
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 152
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z)
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x)
(/.f64 y (+.f64 #s(literal 1 binary64) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))
(*.f64 (/.f64 (neg.f64 y) z) x)
(/.f64 (neg.f64 y) z)
(*.f64 (/.f64 (/.f64 y z) z) x)
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
(/.f64 (/.f64 y z) z)
(/.f64 y z)
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(/.f64 (fma.f64 z z z) x)
(fma.f64 z z z)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
Outputs
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eval253.0ms (2.9%)

Memory
14.1MiB live, 398.3MiB allocated
Compiler

Compiled 25 726 to 3 349 computations (87% saved)

prune73.0ms (0.8%)

Memory
-5.3MiB live, 194.4MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New1 74791 756
Fresh3811
Picked325
Done022
Total1 753211 774
Accuracy
100.0%
Counts
1 774 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.7%
(/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z)
96.4%
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
62.7%
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
86.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
72.6%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
63.5%
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
83.6%
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
83.3%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
71.4%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
87.2%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
72.5%
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
85.4%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
78.2%
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
70.3%
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
78.7%
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
78.7%
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
70.9%
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x))
67.2%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
26.1%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
28.3%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
31.6%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
Compiler

Compiled 357 to 297 computations (16.8% saved)

simplify160.0ms (1.8%)

Memory
16.0MiB live, 170.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (neg.f64 y) z)
cost-diff0
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) z) x)
cost-diff256
(*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))
cost-diff-384
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
cost-diff0
(/.f64 z x)
cost-diff0
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
cost-diff0
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)
cost-diff0
(/.f64 x z)
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) (/.f64 x z))
cost-diff0
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
cost-diff0
(/.f64 (neg.f64 x) z)
cost-diff0
(*.f64 (/.f64 (neg.f64 x) z) y)
cost-diff0
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))
cost-diff0
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 y (fma.f64 z z z))
cost-diff0
(*.f64 (/.f64 y (fma.f64 z z z)) x)
cost-diff0
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
Rules
9 572×lower-fma.f32
9 570×lower-fma.f64
2 644×lower-*.f32
2 632×lower-*.f64
1 400×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044221
062214
1132211
2312211
3755209
42386207
55265207
67762207
08021207
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
x
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))
(*.f64 (/.f64 (neg.f64 x) z) y)
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 y z) (/.f64 x z))
(/.f64 y z)
y
z
(/.f64 x z)
x
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
y
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 z x)
z
x
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
(*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(*.f64 (/.f64 #s(literal -1 binary64) z) x)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
x
Outputs
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(*.f64 x (/.f64 y (fma.f64 z z z)))
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
x
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))
(*.f64 (/.f64 (neg.f64 x) z) y)
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y))
(*.f64 (/.f64 y z) (/.f64 x z))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/.f64 y z)
y
z
(/.f64 x z)
x
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
y
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 z x)
z
x
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y))
(*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(*.f64 (/.f64 #s(literal -1 binary64) z) x)
(/.f64 (neg.f64 x) z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
x

localize109.0ms (1.2%)

Memory
-54.6MiB live, 184.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy0.18359375
(*.f64 (/.f64 #s(literal -1 binary64) z) x)
accuracy1.8620122452868986
(*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))
accuracy14.262106153973617
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
accuracy0
(/.f64 z x)
accuracy0.08984375
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)
accuracy4.223839032460269
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
accuracy24.251348412071522
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
accuracy0
(/.f64 y z)
accuracy0
(/.f64 x z)
accuracy1.8620122452868986
(*.f64 (/.f64 y z) (/.f64 x z))
accuracy14.262106153973617
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
accuracy0
(neg.f64 x)
accuracy3.8559411009466475
(*.f64 (/.f64 (neg.f64 x) z) y)
accuracy18.724005494789104
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
accuracy28.946371615658297
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))
accuracy0
(fma.f64 z z z)
accuracy0.5705994041702085
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
accuracy5.282886997159972
(/.f64 y (fma.f64 z z z))
accuracy5.67751734605359
(*.f64 (/.f64 y (fma.f64 z z z)) x)
Samples
82.0ms256×0valid
Compiler

Compiled 173 to 39 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 37.0ms (60.2% of total)
ival-mult: 17.0ms (27.6% of total)
ival-add: 4.0ms (6.5% of total)
ival-neg: 2.0ms (3.3% of total)
ival-sub: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory
-5.3MiB live, 109.3MiB allocated
Counts
22 → 612
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y (fma.f64 z z z)) x) (patch (*.f64 (/.f64 y (fma.f64 z z z)) x) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 z z z)) (patch (/.f64 y (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 x) z) y) (patch (*.f64 (/.f64 (neg.f64 x) z) y) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) (patch (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (patch #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (patch (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) #<representation binary64>) () ())
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#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
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#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) 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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y))
5.0ms
y
@0
((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y))
4.0ms
y
@-inf
((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y))
4.0ms
y
@inf
((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y))
3.0ms
x
@0
((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y))

simplify224.0ms (2.5%)

Memory
27.4MiB live, 218.0MiB allocated
Algorithm
egg-herbie
Rules
18 898×lower-fma.f64
18 898×lower-fma.f32
4 524×lower-*.f64
4 524×lower-*.f32
1 950×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01565264
14624958
211144790
344104650
081814429
Stop Event
iter limit
node limit
Counts
612 → 611
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)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ y z)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
z
(* z (+ 1 z))
(* z (+ 1 z))
(* z (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x 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))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/ z x)
(* z (+ (/ 1 x) (/ z x)))
(* z (+ (/ 1 x) (/ z x)))
(* z (+ (/ 1 x) (/ z 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))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (* x y) z))
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/ 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))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* 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)))
(* -1 (/ (* x y) z))
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z))
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z))
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x 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)))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y 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 (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ (* x y) (* (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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* 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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (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)))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -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))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ (* x y) (* (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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* 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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (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)))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -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))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ (* x y) (* (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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* 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) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (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)))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -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))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (* (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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ 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) (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)
(/ (* 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 (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (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))))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ 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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ 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) (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)
(/ (* 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 (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (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))))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (+ 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 (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(/ (* x (* y (- 1 z))) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ (* x y) z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ 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) (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)
(/ (* 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 (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (pow z 2)) x)
(/ (+ z (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))))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.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) x) y)) (*.f64 z z))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) y) x)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z)
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* y z))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) y)
(/ (+ y (* z (- (* y z) y))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) 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 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.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) x) y)) (*.f64 z z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.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) x) y)) (*.f64 z z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (pow z 2) x)
(*.f64 (/.f64 z x) z)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ z x)
(/.f64 z x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.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) x) y)) (*.f64 z z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.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) x) y)) (*.f64 z z))
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 y z) z) y) x)) (pow.f64 z #s(literal 3 binary64)))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 (/.f64 (-.f64 y (/.f64 y z)) z) x) z)
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/.f64 (*.f64 x (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) z)
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) (+.f64 (/.f64 (/.f64 x z) z) x)) (neg.f64 z))
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64))) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 y z) z) y) x)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z)
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
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(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(/ (* x (* y (- 1 z))) (pow z 2))
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* z (+ z (pow z 2))) x)
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ (* z (+ z (pow z 2))) x)
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ (* z (+ z (pow z 2))) x)
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ (* z (+ z (pow z 2))) x)
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite132.0ms (1.5%)

Memory
1.1MiB live, 201.2MiB allocated
Rules
3 910×lower-fma.f32
3 908×lower-fma.f64
3 730×lower-/.f32
3 712×lower-/.f64
3 572×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044202
062195
1246192
21723192
08676192
Stop Event
iter limit
node limit
iter limit
Counts
22 → 773
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(/.f64 y (fma.f64 z z z))
(fma.f64 z z z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))
(*.f64 (/.f64 (neg.f64 x) z) y)
(/.f64 (neg.f64 x) z)
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 y z) (/.f64 x z))
(/.f64 y z)
(/.f64 x z)
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 z x)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))
(*.f64 (/.f64 #s(literal -1 binary64) z) x)
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
(/.f64 (neg.f64 y) z)
(neg.f64 x)
(neg.f64 y)
Outputs
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eval196.0ms (2.2%)

Memory
6.6MiB live, 243.1MiB allocated
Compiler

Compiled 17 879 to 2 389 computations (86.6% saved)

prune73.0ms (0.8%)

Memory
9.3MiB live, 122.4MiB allocated
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New1 38131 384
Fresh21012
Picked145
Done044
Total1 384211 405
Accuracy
100.0%
Counts
1 405 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.7%
(/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z)
63.0%
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)
62.7%
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
64.9%
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z)
86.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
72.6%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
83.6%
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
83.3%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
85.4%
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
71.4%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
87.2%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
72.5%
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
78.2%
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
70.3%
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
78.7%
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
78.7%
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
70.9%
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x))
67.2%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
26.1%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
28.3%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
31.6%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
Compiler

Compiled 580 to 290 computations (50% saved)

regimes82.0ms (0.9%)

Memory
-16.3MiB live, 102.0MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x))
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z)
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y x) (neg.f64 (fma.f64 z z z))))
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
Outputs
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
Calls

6 calls:

20.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
14.0ms
z
14.0ms
x
11.0ms
y
11.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
98.6%1x
98.6%1y
98.6%1z
98.6%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
98.6%1(*.f64 x y)
98.6%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes68.0ms (0.8%)

Memory
-6.9MiB live, 114.7MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x))
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z)
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y x) (neg.f64 (fma.f64 z z z))))
Outputs
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
Calls

6 calls:

13.0ms
y
12.0ms
(*.f64 x y)
11.0ms
x
11.0ms
z
10.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
96.7%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.7%1x
96.7%1y
98.7%2z
96.7%1(*.f64 x y)
98.7%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes22.0ms (0.2%)

Memory
3.0MiB live, 39.6MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x))
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
Outputs
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
Calls

2 calls:

12.0ms
z
9.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.6%2z
98.6%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes31.0ms (0.3%)

Memory
19.8MiB live, 56.2MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x))
Outputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
Calls

3 calls:

13.0ms
z
8.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
8.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
96.7%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.7%1z
96.7%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 19 to 19 computations (0% saved)

regimes57.0ms (0.6%)

Memory
3.2MiB live, 93.5MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
Outputs
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Calls

6 calls:

17.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
9.0ms
(*.f64 x y)
8.0ms
z
8.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
95.8%2x
96.1%2y
96.5%2(*.f64 x y)
96.3%2z
97.5%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.3%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes32.0ms (0.4%)

Memory
-23.5MiB live, 51.3MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Outputs
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
Calls

4 calls:

10.0ms
z
8.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
7.0ms
(*.f64 x y)
6.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
96.3%2z
96.3%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
93.5%1(*.f64 x y)
95.1%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes109.0ms (1.2%)

Memory
14.9MiB live, 94.3MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)
Outputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))
Calls

6 calls:

66.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
15.0ms
z
7.0ms
x
7.0ms
y
7.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
94.2%3(*.f64 x y)
94.1%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
92.9%3x
91.1%2y
96.5%3z
96.5%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes33.0ms (0.4%)

Memory
-17.6MiB live, 60.3MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
Outputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
Calls

3 calls:

6.0ms
z
6.0ms
(*.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
94.1%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
94.8%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
94.8%3z
Compiler

Compiled 19 to 19 computations (0% saved)

regimes5.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
Outputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
Calls

1 calls:

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

Compiled 11 to 9 computations (18.2% saved)

regimes13.0ms (0.1%)

Memory
28.8MiB live, 28.8MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Outputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Calls

3 calls:

4.0ms
z
4.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
4.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
94.5%3z
94.5%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
92.6%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 19 to 19 computations (0% saved)

regimes18.0ms (0.2%)

Memory
-23.5MiB live, 24.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
Outputs
#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)
Calls

4 calls:

6.0ms
z
4.0ms
(*.f64 x y)
4.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
3.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
91.9%2(*.f64 x y)
91.2%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
92.6%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
92.6%3z
Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes46.0ms (0.5%)

Memory
-13.8MiB live, 25.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z)))
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
Calls

6 calls:

28.0ms
y
4.0ms
z
4.0ms
x
4.0ms
(*.f64 x y)
3.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
83.6%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
82.2%2z
83.4%2y
82.2%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
82.2%2x
83.7%2(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes16.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(*.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 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
Calls

6 calls:

3.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(*.f64 x y)
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
78.2%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
78.2%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
78.2%1z
78.2%1x
78.2%1y
78.2%1(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes11.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z)))
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)))
Calls

6 calls:

2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(*.f64 x y)
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
31.6%1x
31.6%1(*.f64 x y)
31.6%1y
31.6%1z
31.6%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
33.8%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes3.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
1.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
31.6%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
31.6%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.865130864232562e+191
-9.116791502982552e+173
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.80289741126589e+93
-2.5917519457751837e+54
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.884336986557522e-43
6.806272527397097e-42
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch8.0ms (0.1%)

Memory
-39.0MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.9055552828066955e+30
1.4164306312795263e+55
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch32.0ms (0.4%)

Memory
14.1MiB live, 48.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
9.965436452197356e-13
3.315935505094848e-8
14.0ms
-2.0601751813732223e-13
-1.164472019263362e-22
Samples
19.0ms272×0valid
Compiler

Compiled 320 to 295 computations (7.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (59.1% of total)
ival-div: 1.0ms (11.8% of total)
ival-add: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.3364883633004097e+109
3.738988631186459e+132
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.3364883633004097e+109
3.738988631186459e+132
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch24.0ms (0.3%)

Memory
-11.3MiB live, 31.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
10.0ms
1.1049806749430506e-14
9.965436452197356e-13
9.0ms
-3.495290710576616e-34
-4.944098109216424e-35
Samples
11.0ms208×0valid
Compiler

Compiled 248 to 223 computations (10.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (62.5% of total)
ival-div: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% 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
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2893708511731565e-144
1.1284370061423687e-143
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2893708511731565e-144
1.1284370061423687e-143
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.5314109860325967e-284
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify29.0ms (0.3%)

Memory
28.8MiB live, 66.9MiB allocated
Algorithm
egg-herbie
Rules
48×*-commutative-binary64-*.f64
16×+-commutative-binary64-+.f64
14×neg-sub0-binary64--.f64-neg.f64
14×neg-mul-1-binary64-*.f64-neg.f64
14×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111533
1138533
2151533
3167533
4175533
5178533
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -100000000000000007255917159731877836103034242878113728245683439839721017249206890744520681817432419517406259768686757211613347531636374137714903657800393217922126245182526923208032109954334720 binary64)) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -5000000000000000101094395635779734942880481616071788705688884281040020024990821546793489137664 binary64)) (/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4999999999999999817948147482624 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))))
(if (<=.f64 z #s(literal -2535301200456459/5070602400912917605986812821504 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4835703278458517/151115727451828646838272 binary64)) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y))
(if (<=.f64 z #s(literal -496910556692507/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 237684487542793/19807040628566084398385987584 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (*.f64 x y) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #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))
(if (<=.f64 (*.f64 x y) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))
Outputs
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z x) z))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -100000000000000007255917159731877836103034242878113728245683439839721017249206890744520681817432419517406259768686757211613347531636374137714903657800393217922126245182526923208032109954334720 binary64)) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -5000000000000000101094395635779734942880481616071788705688884281040020024990821546793489137664 binary64)) (/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -5000000000000000101094395635779734942880481616071788705688884281040020024990821546793489137664 binary64)) (/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 (/.f64 z x) z)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x (*.f64 (/.f64 (fma.f64 z z z) y) z)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4999999999999999817948147482624 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))))
(if (<=.f64 z #s(literal -2535301200456459/5070602400912917605986812821504 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4835703278458517/151115727451828646838272 binary64)) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y))
(if (<=.f64 z #s(literal -496910556692507/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 237684487542793/19807040628566084398385987584 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (*.f64 x y) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #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))
(if (<=.f64 (*.f64 x y) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)))

soundness2.6s (29.1%)

Memory
-12.2MiB live, 1 342.2MiB allocated
Rules
23 166×lower-fma.f64
23 166×lower-fma.f32
18 898×lower-fma.f64
18 898×lower-fma.f32
14 164×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042200
061201
1244192
21570190
08963190
063683
1202664
2577646
33492628
08400593
044202
062195
1246192
21723192
08676192
01984600
15864266
214664038
354234002
081903814
0927
01427
15527
233827
3320427
0848825
01965375
15775108
214164848
347234690
082534469
030149
049151
1203145
21366145
08611145
01565264
14624958
211144790
344104650
081814429
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
node limit
iter limit
Compiler

Compiled 1 168 to 617 computations (47.2% saved)

preprocess341.0ms (3.9%)

Memory
10.3MiB live, 531.9MiB allocated
Remove

(negabs y)

Compiler

Compiled 1 420 to 620 computations (56.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...